diff --git a/changelog b/changelog index 9cce51b..f20e014 100644 --- a/changelog +++ b/changelog @@ -1,3 +1,6 @@ +20100609 tpd src/axiom-website/patches.html 20100609.03.tpd.patch +20100609 tpd src/input/Makefile rule-based trig integration +20100609 tpd src/input/richtrig300-399.input rule-based trig integration 20100609 tpd src/axiom-website/patches.html 20100609.02.tpd.patch 20100609 tpd src/input/Makefile rule-based trig integration 20100609 tpd src/input/richtrig200-299.input rule-based trig integration diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index b378718..26213d9 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -2870,6 +2870,8 @@ books/bookvol5 add David Parnas to credits
src/input/richtrig100-199.input rule-based trig integration
20100609.02.tpd.patch src/input/richtrig200-299.input rule-based trig integration
+20100609.03.tpd.patch +src/input/richtrig300-399.input rule-based trig integration
diff --git a/src/input/Makefile.pamphlet b/src/input/Makefile.pamphlet index fd85faa..0c340e8 100644 --- a/src/input/Makefile.pamphlet +++ b/src/input/Makefile.pamphlet @@ -379,6 +379,7 @@ REGRES= ackermann.regress \ richtrig000-099.regress \ richtrig100-199.regress \ richtrig200-299.regress \ + richtrig300-399.regress \ robidoux.regress \ roman.regress roots.regress ruleset.regress rules.regress \ rubey.regress sae.regress spline.regress \ @@ -701,6 +702,7 @@ FILES= ${OUT}/ackermann.input \ ${OUT}/richtrig000-099.input \ ${OUT}/richtrig100-199.input \ ${OUT}/richtrig200-299.input \ + ${OUT}/richtrig300-399.input \ ${OUT}/robidoux.input ${OUT}/roman.input ${OUT}/roots.input \ ${OUT}/ruleset.input ${OUT}/rules.input ${OUT}/rubey.input \ ${OUT}/sae.input \ @@ -1052,6 +1054,7 @@ DOCFILES= \ ${DOC}/richtrig000-099.input.dvi \ ${DOC}/richtrig100-199.input.dvi \ ${DOC}/richtrig200-299.input.dvi \ + ${DOC}/richtrig300-399.input.dvi \ ${DOC}/rk4draw.input.dvi \ ${DOC}/robidoux.input.dvi ${DOC}/roman.input.dvi \ ${DOC}/romnum.as.dvi ${DOC}/roots.input.dvi \ diff --git a/src/input/richtrig300-399.input.pamphlet b/src/input/richtrig300-399.input.pamphlet new file mode 100644 index 0000000..304096f --- /dev/null +++ b/src/input/richtrig300-399.input.pamphlet @@ -0,0 +1,76437 @@ +\documentclass{article} +\usepackage{axiom} +\begin{document} +\title{\$SPAD/src/input richtrig300-399.input} +\author{Albert Rich and Timothy Daly} +\maketitle +\begin{abstract} +\end{abstract} +\eject +\tableofcontents +\eject +\begin{chunk}{*} +)set break resume +)sys rm -f richtrig300-399.output +)spool richtrig300-399.output +)set message auto off +)clear all + +--S 1 of 528 +t0300:= 1/(a*sec(x)^3)^(1/2) +--R +--R +--R 1 +--R (1) ------------ +--R +---------+ +--R | 3 +--R \|a sec(x) +--R Type: Expression Integer +--E 1 + +--S 2 of 528 +r0300:= 2/3*sec(x)*(EllipticF(1/2*x,2)/cos(x)^(1/2)+sin(x))/(a*sec(x)^3)^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 2 + +--S 3 of 528 +a0300:= integrate(t0300,x) +--R +--R +--R x +--R ++ 1 +--R (2) | ------------- d%R +--R ++ +----------+ +--R | 3 +--R \|a sec(%R) +--R Type: Union(Expression Integer,...) +--E 3 + +--S 4 of 528 +m0300:= a0300-r0300 +--R +--R +--R x +--R ++ 1 +--R (3) | ------------- d%R - r0300 +--R ++ +----------+ +--R | 3 +--R \|a sec(%R) +--R Type: Expression Integer +--E 4 + +--S 5 of 528 +d0300:= D(m0300,x) +--R +--R +--R 1 +--R (4) ------------ +--R +---------+ +--R | 3 +--R \|a sec(x) +--R Type: Expression Integer +--E 5 + +--S 6 of 528 +t0301:= 1/(a-a*sec(c+d*x)) +--R +--R +--R 1 +--R (5) - ------------------ +--R a sec(d x + c) - a +--R Type: Expression Integer +--E 6 + +--S 7 of 528 +r0301:= x/a+sin(c+d*x)/a/d/(1-cos(c+d*x)) +--R +--R +--R - sin(d x + c) + d x cos(d x + c) - d x +--R (6) --------------------------------------- +--R a d cos(d x + c) - a d +--R Type: Expression Integer +--E 7 + +--S 8 of 528 +a0301:= integrate(t0301,x) +--R +--R +--R d x sin(d x + c) + cos(d x + c) + 1 +--R (7) ----------------------------------- +--R a d sin(d x + c) +--R Type: Union(Expression Integer,...) +--E 8 + +--S 9 of 528 +m0301:= a0301-r0301 +--R +--R +--R 2 2 +--R sin(d x + c) + cos(d x + c) - 1 +--R (8) ------------------------------------ +--R (a d cos(d x + c) - a d)sin(d x + c) +--R Type: Expression Integer +--E 9 + +--S 10 of 528 +d0301:= D(m0301,x) +--R +--R +--R (9) +--R 4 2 4 +--R sin(d x + c) + (cos(d x + c) - 1)sin(d x + c) - cos(d x + c) +--R + +--R 3 2 +--R cos(d x + c) + cos(d x + c) - cos(d x + c) +--R / +--R 2 2 +--R (a cos(d x + c) - 2a cos(d x + c) + a)sin(d x + c) +--R Type: Expression Integer +--E 10 + +--S 11 of 528 +t0302:= (3+3*sec(x))^(1/2) +--R +--R +--R +-----------+ +--R (10) \|3sec(x) + 3 +--R Type: Expression Integer +--E 11 + +--S 12 of 528 +r0302:= 2*3^(1/2)*atan((-1+sec(x))^(1/2))*tan(x)/(-1+sec(x))^(1/2)/(1+sec(x))^(1/2) +--R +--R +--R +-+ +----------+ +--R 2\|3 tan(x)atan(\|sec(x) - 1 ) +--R (11) ------------------------------ +--R +----------+ +----------+ +--R \|sec(x) - 1 \|sec(x) + 1 +--R Type: Expression Integer +--E 12 + +--S 13 of 528 +a0302:= integrate(t0302,x) +--R +--R +--R (12) 0 +--R Type: Union(Expression Integer,...) +--E 13 + +--S 14 of 528 +m0302:= a0302-r0302 +--R +--R +--R +-+ +----------+ +--R 2\|3 tan(x)atan(\|sec(x) - 1 ) +--R (13) - ------------------------------ +--R +----------+ +----------+ +--R \|sec(x) - 1 \|sec(x) + 1 +--R Type: Expression Integer +--E 14 + +--S 15 of 528 +d0302:= D(m0302,x) +--R +--R +--R (14) +--R +-+ 2 +-+ 2 +-+ +----------+ +--R (2\|3 tan(x) - 2\|3 sec(x) + 2\|3 )atan(\|sec(x) - 1 ) +--R + +--R +-+ +-+ 2 +----------+ +--R (- \|3 sec(x) - \|3 )tan(x) \|sec(x) - 1 +--R / +--R 2 +----------+ +----------+ +--R (sec(x) - 1)\|sec(x) - 1 \|sec(x) + 1 +--R Type: Expression Integer +--E 15 + +--S 16 of 528 +t0303:= (3-3*sec(x))^(1/2) +--R +--R +--R +-------------+ +--R (15) \|- 3sec(x) + 3 +--R Type: Expression Integer +--E 16 + +--S 17 of 528 +r0303:= 2*3^(1/2)*atan((-1-sec(x))^(1/2))*tan(x)/(-1-sec(x))^(1/2)/(1-sec(x))^(1/2) +--R +--R +--R +-+ +------------+ +--R 2\|3 tan(x)atan(\|- sec(x) - 1 ) +--R (16) -------------------------------- +--R +------------+ +------------+ +--R \|- sec(x) - 1 \|- sec(x) + 1 +--R Type: Expression Integer +--E 17 + +--S 18 of 528 +a0303:= integrate(t0303,x) +--R +--R +--R +-+ +-+ +--R +-+ 2\|3 cos(x) + \|3 +--R (17) \|3 atan(-----------------------) +--R +-------------+ +--R |- 3cos(x) - 3 +--R 2cos(x) |------------- +--R \| cos(x) +--R Type: Union(Expression Integer,...) +--E 18 + +--S 19 of 528 +m0303:= a0303-r0303 +--R +--R +--R (18) +--R +-+ +------------+ +--R - 2\|3 tan(x)atan(\|- sec(x) - 1 ) +--R + +--R +-+ +-+ +--R +-+ +------------+ +------------+ 2\|3 cos(x) + \|3 +--R \|3 \|- sec(x) - 1 \|- sec(x) + 1 atan(-----------------------) +--R +-------------+ +--R |- 3cos(x) - 3 +--R 2cos(x) |------------- +--R \| cos(x) +--R / +--R +------------+ +------------+ +--R \|- sec(x) - 1 \|- sec(x) + 1 +--R Type: Expression Integer +--E 19 + +--S 20 of 528 +d0303:= D(m0303,x) +--R +--R +--R (19) +--R +-------------+ +--R +-+ 2 +-+ 2 +-+ |- 3cos(x) - 3 +--R (2\|3 cos(x)tan(x) - 2\|3 cos(x)sec(x) + 2\|3 cos(x)) |------------- +--R \| cos(x) +--R * +--R +------------+ +--R atan(\|- sec(x) - 1 ) +--R + +--R +-------------+ +--R +-+ +-+ 2 +------------+ |- 3cos(x) - 3 +--R (\|3 cos(x)sec(x) - \|3 cos(x))tan(x) \|- sec(x) - 1 |------------- +--R \| cos(x) +--R + +--R 2 +------------+ +------------+ +--R (- 3sec(x) + 3)sin(x)\|- sec(x) - 1 \|- sec(x) + 1 +--R / +--R +-------------+ +--R 2 +------------+ +------------+ |- 3cos(x) - 3 +--R (cos(x)sec(x) - cos(x))\|- sec(x) - 1 \|- sec(x) + 1 |------------- +--R \| cos(x) +--R Type: Expression Integer +--E 20 + +--S 21 of 528 +t0304:= (a+a*sec(x))^(1/2) +--R +--R +--R +------------+ +--R (20) \|a sec(x) + a +--R Type: Expression Integer +--E 21 + +--S 22 of 528 +r0304:= 2*a*atan((-1+sec(x))^(1/2))*tan(x)/(-1+sec(x))^(1/2)/(a+a*sec(x))^(1/2) +--R +--R +--R +----------+ +--R 2a tan(x)atan(\|sec(x) - 1 ) +--R (21) ---------------------------- +--R +----------+ +------------+ +--R \|sec(x) - 1 \|a sec(x) + a +--R Type: Expression Integer +--E 22 + +--S 23 of 528 +a0304:= integrate(t0304,x) +--R +--R +--R (22) +--R [ +--R +---+ +--R \|- a +--R * +--R log +--R +------------+ +--R 2 +---+ |a cos(x) + a 3 +--R (- 8cos(x) + 4cos(x))sin(x)\|- a |------------ + 8a cos(x) +--R \| cos(x) +--R + +--R - 7a cos(x) + a +--R / +--R cos(x) + 1 +--R / +--R 2 +--R , +--R +------------+ +--R +-+ |a cos(x) + a +--R 2cos(x)sin(x)\|a |------------ +--R +-+ \| cos(x) +--R \|a atan(--------------------------------)] +--R 2 +--R 2a cos(x) + a cos(x) - a +--R Type: Union(List Expression Integer,...) +--E 23 + +--S 24 of 528 +m0304a:= a0304.1-r0304 +--R +--R +--R (23) +--R +---+ +----------+ +------------+ +--R \|- a \|sec(x) - 1 \|a sec(x) + a +--R * +--R log +--R +------------+ +--R 2 +---+ |a cos(x) + a 3 +--R (- 8cos(x) + 4cos(x))sin(x)\|- a |------------ + 8a cos(x) +--R \| cos(x) +--R + +--R - 7a cos(x) + a +--R / +--R cos(x) + 1 +--R + +--R +----------+ +--R - 4a tan(x)atan(\|sec(x) - 1 ) +--R / +--R +----------+ +------------+ +--R 2\|sec(x) - 1 \|a sec(x) + a +--R Type: Expression Integer +--E 24 + +--S 25 of 528 +d0304a:= D(m0304a,x) +--R +--R +--R (24) +--R 4 2 2 +--R (16a cos(x) - 14a cos(x) + 2a cos(x))tan(x) +--R + +--R 4 2 2 4 +--R (- 16a cos(x) + 14a cos(x) - 2a cos(x))sec(x) + 16a cos(x) +--R + +--R 2 +--R - 14a cos(x) + 2a cos(x) +--R * +--R +------------+ +--R |a cos(x) + a +--R |------------ +--R \| cos(x) +--R + +--R 3 2 2 +--R (- 16a cos(x) - 8a cos(x) + 8a cos(x))sin(x)tan(x) +--R + +--R 3 2 2 3 +--R (16a cos(x) + 8a cos(x) - 8a cos(x))sec(x) - 16a cos(x) +--R + +--R 2 +--R - 8a cos(x) + 8a cos(x) +--R * +--R sin(x) +--R * +--R +---+ +--R \|- a +--R * +--R +----------+ +--R atan(\|sec(x) - 1 ) +--R + +--R 3 2 2 3 2 +--R (- 8cos(x) - 4cos(x) + 4cos(x))sec(x) + 8cos(x) + 4cos(x) +--R + +--R - 4cos(x) +--R * +--R +------------+ +--R +---+ |a cos(x) + a +--R sin(x)\|- a |------------ +--R \| cos(x) +--R + +--R 2 2 2 +--R (- 4a cos(x) - 6a cos(x) + a)sec(x) + 4a cos(x) + 6a cos(x) +--R + +--R - a +--R * +--R 2 +--R sin(x) +--R + +--R 4 3 2 2 4 +--R (4a cos(x) + 2a cos(x) - 2a cos(x) )sec(x) - 4a cos(x) +--R + +--R 3 2 +--R - 2a cos(x) + 2a cos(x) +--R * +--R +----------+ +------------+ +--R \|sec(x) - 1 \|a sec(x) + a +--R + +--R 4 2 4 +--R (- 8a cos(x) + 7a cos(x) - a cos(x))sec(x) - 8a cos(x) +--R + +--R 2 +--R 7a cos(x) - a cos(x) +--R * +--R +------------+ +--R 2 |a cos(x) + a +--R tan(x) |------------ +--R \| cos(x) +--R + +--R 3 2 3 +--R (8a cos(x) + 4a cos(x) - 4a cos(x))sec(x) + 8a cos(x) +--R + +--R 2 +--R 4a cos(x) - 4a cos(x) +--R * +--R 2 +---+ +--R sin(x)tan(x) \|- a +--R * +--R +----------+ +--R \|sec(x) - 1 +--R / +--R 4 2 2 4 2 +--R (8cos(x) - 7cos(x) + cos(x))sec(x) - 8cos(x) + 7cos(x) +--R + +--R - cos(x) +--R * +--R +------------+ +--R |a cos(x) + a +--R |------------ +--R \| cos(x) +--R + +--R 3 2 2 3 2 +--R (- 8cos(x) - 4cos(x) + 4cos(x))sec(x) + 8cos(x) + 4cos(x) +--R + +--R - 4cos(x) +--R * +--R +---+ +--R sin(x)\|- a +--R * +--R +----------+ +------------+ +--R \|sec(x) - 1 \|a sec(x) + a +--R Type: Expression Integer +--E 25 + +--S 26 of 528 +m0304b:= a0304.2-r0304 +--R +--R +--R (25) +--R +----------+ +--R - 2a tan(x)atan(\|sec(x) - 1 ) +--R + +--R +------------+ +--R +-+ |a cos(x) + a +--R 2cos(x)sin(x)\|a |------------ +--R +-+ +----------+ +------------+ \| cos(x) +--R \|a \|sec(x) - 1 \|a sec(x) + a atan(--------------------------------) +--R 2 +--R 2a cos(x) + a cos(x) - a +--R / +--R +----------+ +------------+ +--R \|sec(x) - 1 \|a sec(x) + a +--R Type: Expression Integer +--E 26 + +--S 27 of 528 +d0304b:= D(m0304b,x) +--R +--R +--R (26) +--R 2 2 4 2 2 +--R (8a cos(x) sin(x) + 8a cos(x) - 6a cos(x) + 2a cos(x))tan(x) +--R + +--R 2 2 2 2 +--R (- 8a cos(x) sec(x) + 8a cos(x) )sin(x) +--R + +--R 4 2 2 4 +--R (- 8a cos(x) + 6a cos(x) - 2a cos(x))sec(x) + 8a cos(x) +--R + +--R 2 +--R - 6a cos(x) + 2a cos(x) +--R * +--R +------------+ +--R |a cos(x) + a +----------+ +--R |------------ atan(\|sec(x) - 1 ) +--R \| cos(x) +--R + +--R 2 2 2 +--R ((4a cos(x) + 2a cos(x) + a)sec(x) - 4a cos(x) - 2a cos(x) - a) +--R * +--R 2 +--R sin(x) +--R + +--R 4 3 2 2 4 +--R (4a cos(x) + 2a cos(x) - 2a cos(x) )sec(x) - 4a cos(x) +--R + +--R 3 2 +--R - 2a cos(x) + 2a cos(x) +--R * +--R +----------+ +------------+ +--R \|sec(x) - 1 \|a sec(x) + a +--R + +--R 2 2 2 +--R (- 4a cos(x) sec(x) - 4a cos(x) )sin(x) +--R + +--R 4 2 4 +--R (- 4a cos(x) + 3a cos(x) - a cos(x))sec(x) - 4a cos(x) +--R + +--R 2 +--R 3a cos(x) - a cos(x) +--R * +--R +------------+ +--R 2 |a cos(x) + a +----------+ +--R tan(x) |------------ \|sec(x) - 1 +--R \| cos(x) +--R / +--R 2 2 2 2 +--R (4cos(x) sec(x) - 4cos(x) )sin(x) +--R + +--R 4 2 2 4 2 +--R (4cos(x) - 3cos(x) + cos(x))sec(x) - 4cos(x) + 3cos(x) - cos(x) +--R * +--R +------------+ +--R |a cos(x) + a +----------+ +------------+ +--R |------------ \|sec(x) - 1 \|a sec(x) + a +--R \| cos(x) +--R Type: Expression Integer +--E 27 + +--S 28 of 528 +t0305:= (a-a*sec(x))^(1/2) +--R +--R +--R +--------------+ +--R (27) \|- a sec(x) + a +--R Type: Expression Integer +--E 28 + +--S 29 of 528 +r0305:= 2*a*atan((-1-sec(x))^(1/2))*tan(x)/(-1-sec(x))^(1/2)/(a-a*sec(x))^(1/2) +--R +--R +--R +------------+ +--R 2a tan(x)atan(\|- sec(x) - 1 ) +--R (28) -------------------------------- +--R +--------------+ +------------+ +--R \|- a sec(x) + a \|- sec(x) - 1 +--R Type: Expression Integer +--E 29 + +--S 30 of 528 +a0305:= integrate(t0305,x) +--R +--R +--R (29) +--R - +--R +----+ +--R \|- 4a +--R * +--R log +--R +--------------+ +--R 2 +----+ |- a cos(x) - a 2 +--R (4cos(x) + 2cos(x))\|- 4a |-------------- - 8a cos(x) +--R \| cos(x) +--R + +--R - 8a cos(x) - a +--R / +--R 4 +--R Type: Union(Expression Integer,...) +--E 30 + +--S 31 of 528 +m0305:= a0305-r0305 +--R +--R +--R (30) +--R - +--R +----+ +--------------+ +------------+ +--R \|- 4a \|- a sec(x) + a \|- sec(x) - 1 +--R * +--R log +--R +--------------+ +--R 2 +----+ |- a cos(x) - a 2 +--R (4cos(x) + 2cos(x))\|- 4a |-------------- - 8a cos(x) +--R \| cos(x) +--R + +--R - 8a cos(x) - a +--R + +--R +------------+ +--R - 8a tan(x)atan(\|- sec(x) - 1 ) +--R / +--R +--------------+ +------------+ +--R 4\|- a sec(x) + a \|- sec(x) - 1 +--R Type: Expression Integer +--E 31 + +--S 32 of 528 +d0305:= D(m0305,x) +--R +--R +--R (31) +--R 3 2 2 +--R (16a cos(x) + 16a cos(x) + 2a cos(x))tan(x) +--R + +--R 3 2 2 3 +--R (- 16a cos(x) - 16a cos(x) - 2a cos(x))sec(x) + 16a cos(x) +--R + +--R 2 +--R 16a cos(x) + 2a cos(x) +--R * +--R +--------------+ +--R |- a cos(x) - a +--R |-------------- +--R \| cos(x) +--R + +--R 3 2 2 +--R (8a cos(x) + 12a cos(x) + 4a cos(x))tan(x) +--R + +--R 3 2 2 3 +--R (- 8a cos(x) - 12a cos(x) - 4a cos(x))sec(x) + 8a cos(x) +--R + +--R 2 +--R 12a cos(x) + 4a cos(x) +--R * +--R +----+ +--R \|- 4a +--R * +--R +------------+ +--R atan(\|- sec(x) - 1 ) +--R + +--R 2 2 2 +----+ +--R ((4cos(x) + 2cos(x))sec(x) - 4cos(x) - 2cos(x))sin(x)\|- 4a +--R * +--R +--------------+ +--R \|- a sec(x) + a +--R + +--R 3 2 3 +--R (8a cos(x) + 8a cos(x) + a cos(x))sec(x) - 8a cos(x) +--R + +--R 2 +--R - 8a cos(x) - a cos(x) +--R * +--R 2 +--R tan(x) +--R * +--R +--------------+ +--R +------------+ |- a cos(x) - a +--R \|- sec(x) - 1 |-------------- +--R \| cos(x) +--R + +--R 2 2 2 +--R (- 8a cos(x) - 8a cos(x) - a)sec(x) + 8a cos(x) + 8a cos(x) +--R + +--R a +--R * +--R +--------------+ +--R sin(x)\|- a sec(x) + a +--R + +--R 3 2 3 +--R (4a cos(x) + 6a cos(x) + 2a cos(x))sec(x) - 4a cos(x) +--R + +--R 2 +--R - 6a cos(x) - 2a cos(x) +--R * +--R 2 +----+ +--R tan(x) \|- 4a +--R * +--R +------------+ +--R \|- sec(x) - 1 +--R / +--R 3 2 2 3 2 +--R ((8cos(x) + 8cos(x) + cos(x))sec(x) - 8cos(x) - 8cos(x) - cos(x)) +--R * +--R +--------------+ +--R +--------------+ +------------+ |- a cos(x) - a +--R \|- a sec(x) + a \|- sec(x) - 1 |-------------- +--R \| cos(x) +--R + +--R 3 2 2 3 2 +--R (4cos(x) + 6cos(x) + 2cos(x))sec(x) - 4cos(x) - 6cos(x) +--R + +--R - 2cos(x) +--R * +--R +----+ +--------------+ +------------+ +--R \|- 4a \|- a sec(x) + a \|- sec(x) - 1 +--R Type: Expression Integer +--E 32 + +--S 33 of 528 +t0306:= (a+b*sec(c+d*x))^3 +--R +--R +--R 3 3 2 2 2 3 +--R (32) b sec(d x + c) + 3a b sec(d x + c) + 3a b sec(d x + c) + a +--R Type: Expression Integer +--E 33 + +--S 34 of 528 +r0306:= a^3*x+3*a^2*b*atanh(sin(c+d*x))/d+1/2*b^3*atanh(sin(c+d*x))/d+3*a*b^2*tan(c+d*x)/d+1/2*b^3*sec(c+d*x)*tan(c+d*x)/d +--R +--R +--R (33) +--R 3 2 3 2 +--R (b + 6a b)atanh(sin(d x + c)) + (b sec(d x + c) + 6a b )tan(d x + c) +--R + +--R 3 +--R 2a d x +--R / +--R 2d +--R Type: Expression Integer +--E 34 + +--S 35 of 528 +a0306:= integrate(t0306,x) +--R +--R +--R (34) +--R 3 2 2 sin(d x + c) + cos(d x + c) + 1 +--R (b + 6a b)cos(d x + c) log(-------------------------------) +--R cos(d x + c) + 1 +--R + +--R 3 2 2 sin(d x + c) - cos(d x + c) - 1 +--R (- b - 6a b)cos(d x + c) log(-------------------------------) +--R cos(d x + c) + 1 +--R + +--R 2 3 3 2 +--R (6a b cos(d x + c) + b )sin(d x + c) + 2a d x cos(d x + c) +--R / +--R 2 +--R 2d cos(d x + c) +--R Type: Union(Expression Integer,...) +--E 35 + +--S 36 of 528 +m0306:= a0306-r0306 +--R +--R +--R (35) +--R 3 2 2 sin(d x + c) + cos(d x + c) + 1 +--R (b + 6a b)cos(d x + c) log(-------------------------------) +--R cos(d x + c) + 1 +--R + +--R 3 2 2 sin(d x + c) - cos(d x + c) - 1 +--R (- b - 6a b)cos(d x + c) log(-------------------------------) +--R cos(d x + c) + 1 +--R + +--R 3 2 2 +--R (- b - 6a b)cos(d x + c) atanh(sin(d x + c)) +--R + +--R 3 2 2 2 +--R (- b cos(d x + c) sec(d x + c) - 6a b cos(d x + c) )tan(d x + c) +--R + +--R 2 3 +--R (6a b cos(d x + c) + b )sin(d x + c) +--R / +--R 2 +--R 2d cos(d x + c) +--R Type: Expression Integer +--E 36 + +--S 37 of 528 +d0306:= D(m0306,x) +--R +--R +--R (36) +--R 3 3 2 3 4 +--R (- 2b cos(d x + c) sec(d x + c) - 6a b cos(d x + c) )sin(d x + c) +--R + +--R 3 5 3 4 3 3 +--R (2b cos(d x + c) + 4b cos(d x + c) + 4b cos(d x + c) ) +--R * +--R sec(d x + c) +--R + +--R 2 5 2 4 2 3 +--R 6a b cos(d x + c) + 12a b cos(d x + c) + 12a b cos(d x + c) +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 5 3 4 3 3 +--R (- 2b cos(d x + c) - 4b cos(d x + c) - 2b cos(d x + c) ) +--R * +--R sec(d x + c) +--R + +--R 2 5 2 4 2 3 +--R - 6a b cos(d x + c) - 12a b cos(d x + c) - 6a b cos(d x + c) +--R * +--R 2 +--R tan(d x + c) +--R + +--R 2 3 6 +--R (6a b cos(d x + c) + 2b )sin(d x + c) +--R + +--R 3 3 3 2 2 3 +--R - b cos(d x + c) sec(d x + c) + (- 2b - 6a b - 12a b)cos(d x + c) +--R + +--R 3 2 2 3 2 3 +--R (- b - 12a b )cos(d x + c) + (- 4b - 12a b )cos(d x + c) - 4b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 3 5 3 4 3 3 +--R (b cos(d x + c) + 2b cos(d x + c) + 2b cos(d x + c) )sec(d x + c) +--R + +--R 3 2 5 3 2 4 +--R (- 2b - 12a b)cos(d x + c) + (- 2b - 6a b)cos(d x + c) +--R + +--R 2 2 3 2 2 +--R (6a b + 12a b)cos(d x + c) + 12a b cos(d x + c) +--R + +--R 3 2 3 +--R (4b + 6a b )cos(d x + c) + 2b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 5 3 4 3 3 +--R (- b cos(d x + c) - 2b cos(d x + c) - b cos(d x + c) )sec(d x + c) +--R + +--R 3 2 6 3 2 4 3 3 +--R (- b - 6a b)cos(d x + c) + (2b + 6a b)cos(d x + c) + 2b cos(d x + c) +--R + +--R 3 2 +--R b cos(d x + c) +--R / +--R 3 4 +--R 2cos(d x + c) sin(d x + c) +--R + +--R 5 4 3 2 +--R (- 2cos(d x + c) - 4cos(d x + c) - 4cos(d x + c) )sin(d x + c) +--R + +--R 5 4 3 +--R 2cos(d x + c) + 4cos(d x + c) + 2cos(d x + c) +--R Type: Expression Integer +--E 37 + +--S 38 of 528 +t0307:= (a+b*sec(c+d*x))^2 +--R +--R +--R 2 2 2 +--R (37) b sec(d x + c) + 2a b sec(d x + c) + a +--R Type: Expression Integer +--E 38 + +--S 39 of 528 +r0307:= a^2*x+2*a*b*atanh(sin(c+d*x))/d+b^2*tan(c+d*x)/d +--R +--R +--R 2 2 +--R 2a b atanh(sin(d x + c)) + b tan(d x + c) + a d x +--R (38) ------------------------------------------------- +--R d +--R Type: Expression Integer +--E 39 + +--S 40 of 528 +a0307:= integrate(t0307,x) +--R +--R +--R (39) +--R sin(d x + c) + cos(d x + c) + 1 +--R 2a b cos(d x + c)log(-------------------------------) +--R cos(d x + c) + 1 +--R + +--R sin(d x + c) - cos(d x + c) - 1 2 +--R - 2a b cos(d x + c)log(-------------------------------) + b sin(d x + c) +--R cos(d x + c) + 1 +--R + +--R 2 +--R a d x cos(d x + c) +--R / +--R d cos(d x + c) +--R Type: Union(Expression Integer,...) +--E 40 + +--S 41 of 528 +m0307:= a0307-r0307 +--R +--R +--R (40) +--R sin(d x + c) + cos(d x + c) + 1 +--R 2a b cos(d x + c)log(-------------------------------) +--R cos(d x + c) + 1 +--R + +--R sin(d x + c) - cos(d x + c) - 1 +--R - 2a b cos(d x + c)log(-------------------------------) +--R cos(d x + c) + 1 +--R + +--R 2 +--R - 2a b cos(d x + c)atanh(sin(d x + c)) - b cos(d x + c)tan(d x + c) +--R + +--R 2 +--R b sin(d x + c) +--R / +--R d cos(d x + c) +--R Type: Expression Integer +--E 41 + +--S 42 of 528 +d0307:= D(m0307,x) +--R +--R +--R (41) +--R 2 2 4 +--R - b cos(d x + c) sin(d x + c) +--R + +--R 2 4 2 3 2 2 2 +--R (b cos(d x + c) + 2b cos(d x + c) + 2b cos(d x + c) )sin(d x + c) +--R + +--R 2 4 2 3 2 2 +--R - b cos(d x + c) - 2b cos(d x + c) - b cos(d x + c) +--R * +--R 2 +--R tan(d x + c) +--R + +--R 2 6 +--R b sin(d x + c) +--R + +--R 2 2 2 2 4 +--R ((- b - 4a b)cos(d x + c) - 2b cos(d x + c) - 2b )sin(d x + c) +--R + +--R 4 3 2 2 +--R - 4a b cos(d x + c) - 2a b cos(d x + c) + (b + 4a b)cos(d x + c) +--R + +--R 2 2 +--R 2b cos(d x + c) + b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 5 3 +--R - 2a b cos(d x + c) + 2a b cos(d x + c) +--R / +--R 2 4 +--R cos(d x + c) sin(d x + c) +--R + +--R 4 3 2 2 +--R (- cos(d x + c) - 2cos(d x + c) - 2cos(d x + c) )sin(d x + c) +--R + +--R 4 3 2 +--R cos(d x + c) + 2cos(d x + c) + cos(d x + c) +--R Type: Expression Integer +--E 42 + +--S 43 of 528 +t0308:= 1/(3+5*sec(c+d*x)) +--R +--R +--R 1 +--R (42) ----------------- +--R 5sec(d x + c) + 3 +--R Type: Expression Integer +--E 43 + +--S 44 of 528 +r0308:= 1/3*x-5/6*atan(1/2*tan(1/2*c+1/2*d*x))/d +--R +--R +--R d x + c +--R tan(-------) +--R 2 +--R - 5atan(------------) + 2d x +--R 2 +--R (43) ---------------------------- +--R 6d +--R Type: Expression Integer +--E 44 + +--S 45 of 528 +a0308:= integrate(t0308,x) +--R +--R +--R sin(d x + c) +--R - 5atan(-----------------) + 2d x +--R 2cos(d x + c) + 2 +--R (44) --------------------------------- +--R 6d +--R Type: Union(Expression Integer,...) +--E 45 + +--S 46 of 528 +m0308:= a0308-r0308 +--R +--R +--R d x + c +--R tan(-------) +--R 2 sin(d x + c) +--R 5atan(------------) - 5atan(-----------------) +--R 2 2cos(d x + c) + 2 +--R (45) ---------------------------------------------- +--R 6d +--R Type: Expression Integer +--E 46 + +--S 47 of 528 +d0308:= D(m0308,x) +--R +--R +--R (46) +--R 2 2 d x + c 2 +--R (- 5sin(d x + c) + 10cos(d x + c) + 30cos(d x + c) + 20)tan(-------) +--R 2 +--R + +--R 2 2 +--R - 35sin(d x + c) - 20cos(d x + c) + 20 +--R / +--R 2 2 d x + c 2 +--R (6sin(d x + c) + 24cos(d x + c) + 48cos(d x + c) + 24)tan(-------) +--R 2 +--R + +--R 2 2 +--R 24sin(d x + c) + 96cos(d x + c) + 192cos(d x + c) + 96 +--R Type: Expression Integer +--E 47 + +--S 48 of 528 +t0309:= 1/(5+3*sec(c+d*x)) +--R +--R +--R 1 +--R (47) ----------------- +--R 3sec(d x + c) + 5 +--R Type: Expression Integer +--E 48 + +--S 49 of 528 +r0309:= 1/5*x-3/10*atanh(1/2*tan(1/2*c+1/2*d*x))/d +--R +--R +--R d x + c +--R tan(-------) +--R 2 +--R - 3atanh(------------) + 2d x +--R 2 +--R (48) ----------------------------- +--R 10d +--R Type: Expression Integer +--E 49 + +--S 50 of 528 +a0309:= integrate(t0309,x) +--R +--R +--R (49) +--R sin(d x + c) + 2cos(d x + c) + 2 +--R - 3log(--------------------------------) +--R cos(d x + c) + 1 +--R + +--R sin(d x + c) - 2cos(d x + c) - 2 +--R 3log(--------------------------------) + 4d x +--R cos(d x + c) + 1 +--R / +--R 20d +--R Type: Union(Expression Integer,...) +--E 50 + +--S 51 of 528 +m0309:= a0309-r0309 +--R +--R +--R (50) +--R sin(d x + c) + 2cos(d x + c) + 2 +--R - 3log(--------------------------------) +--R cos(d x + c) + 1 +--R + +--R d x + c +--R tan(-------) +--R sin(d x + c) - 2cos(d x + c) - 2 2 +--R 3log(--------------------------------) + 6atanh(------------) +--R cos(d x + c) + 1 2 +--R / +--R 20d +--R Type: Expression Integer +--E 51 + +--S 52 of 528 +d0309:= D(m0309,x) +--R +--R +--R (51) +--R 2 2 d x + c 2 +--R (3sin(d x + c) + 18cos(d x + c) + 30cos(d x + c) + 12)tan(-------) +--R 2 +--R + +--R 2 2 +--R - 27sin(d x + c) - 12cos(d x + c) + 12 +--R / +--R 2 2 d x + c 2 +--R (10sin(d x + c) - 40cos(d x + c) - 80cos(d x + c) - 40)tan(-------) +--R 2 +--R + +--R 2 2 +--R - 40sin(d x + c) + 160cos(d x + c) + 320cos(d x + c) + 160 +--R Type: Expression Integer +--E 52 + +--S 53 of 528 +t0310:= 1/(a+b*sec(c+d*x))^2 +--R +--R +--R 1 +--R (52) ---------------------------------------- +--R 2 2 2 +--R b sec(d x + c) + 2a b sec(d x + c) + a +--R Type: Expression Integer +--E 53 + +--S 54 of 528 +r0310:= x/a^2-2*b^3*atanh((a-b)*tan(1/2*c+1/2*d*x)/(a^2-b^2)^(1/2))/a^2/(a^2-b^2)^(3/2)/d-4*b*atanh((a-b)*tan(1/2*c+1/2*d*x)/(a^2-b^2)^(1/2))/a^2/(a^2-b^2)^(1/2)/d+b^2*sin(c+d*x)/a/(a^2-b^2)/d/(b+a*cos(c+d*x)) +--R +--R +--R (53) +--R d x + c +--R (b - a)tan(-------) +--R 3 3 4 2 2 2 +--R ((2a b - 4a b)cos(d x + c) + 2b - 4a b )atanh(-------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 2 2 3 3 2 +--R (- a b sin(d x + c) + (a b - a )d x cos(d x + c) + (b - a b)d x) +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +--R 3 2 5 2 3 4 | 2 2 +--R ((a b - a )d cos(d x + c) + (a b - a b)d)\|- b + a +--R Type: Expression Integer +--E 54 + +--S 55 of 528 +a0310:= integrate(t0310,x) +--R +--R +--R (54) +--R [ +--R 3 3 4 2 2 +--R ((a b - 2a b)cos(d x + c) + b - 2a b ) +--R * +--R +---------+ +--R | 2 2 2 2 +--R (- b cos(d x + c) - a)\|- b + a + (- b + a )sin(d x + c) +--R log(------------------------------------------------------------) +--R a cos(d x + c) + b +--R + +--R 2 2 3 3 2 +--R (- a b sin(d x + c) + (a b - a )d x cos(d x + c) + (b - a b)d x) +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +--R 3 2 5 2 3 4 | 2 2 +--R ((a b - a )d cos(d x + c) + (a b - a b)d)\|- b + a +--R , +--R +--R 3 3 4 2 2 +--R ((- 2a b + 4a b)cos(d x + c) - 2b + 4a b ) +--R * +--R +-------+ +--R | 2 2 +--R sin(d x + c)\|b - a +--R atan(---------------------------) +--R (b + a)cos(d x + c) + b + a +--R + +--R 2 2 3 3 2 +--R (- a b sin(d x + c) + (a b - a )d x cos(d x + c) + (b - a b)d x) +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R / +--R +-------+ +--R 3 2 5 2 3 4 | 2 2 +--R ((a b - a )d cos(d x + c) + (a b - a b)d)\|b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 55 + +--S 56 of 528 +m0310a:= a0310.1-r0310 +--R +--R +--R (55) +--R 3 2 +--R (b - 2a b) +--R * +--R +---------+ +--R | 2 2 2 2 +--R (- b cos(d x + c) - a)\|- b + a + (- b + a )sin(d x + c) +--R log(------------------------------------------------------------) +--R a cos(d x + c) + b +--R + +--R d x + c +--R (b - a)tan(-------) +--R 3 2 2 +--R (- 2b + 4a b)atanh(-------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +--R 2 2 4 | 2 2 +--R (a b - a )d\|- b + a +--R Type: Expression Integer +--E 56 + +--S 57 of 528 +d0310a:= D(m0310a,x) +--R +--R +--R (56) +--R 4 3 2 2 3 2 +--R (- b + a b + 2a b - 2a b)sin(d x + c) +--R + +--R 3 3 2 +--R (a b - 2a b)cos(d x + c) +--R + +--R 4 3 2 2 3 4 2 2 +--R (b + a b - 2a b - 2a b)cos(d x + c) + b - 2a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 4 3 2 2 3 2 +--R (- b - a b + 2a b + 2a b)sin(d x + c) +--R + +--R 3 3 2 +--R (- a b + 2a b)cos(d x + c) +--R + +--R 4 3 2 2 3 4 2 2 +--R (- b + a b + 2a b - 2a b)cos(d x + c) + b - 2a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 5 2 3 4 5 2 3 4 +--R ((b - 3a b + 2a b)cos(d x + c) + b - 3a b + 2a b)sin(d x + c) +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 5 2 3 4 5 2 3 4 +--R ((b - 3a b + 2a b)cos(d x + c) - b + 3a b - 2a b)sin(d x + c) +--R / +--R 2 4 3 3 4 2 5 2 +--R (a b - a b - a b + a b)cos(d x + c) +--R + +--R 5 2 4 5 6 2 4 3 3 4 2 5 +--R (a b - a b - a b + a )cos(d x + c) + a b - a b - a b + a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 2 4 3 3 4 2 5 2 +--R (a b + a b - a b - a b)cos(d x + c) +--R + +--R 5 2 4 5 6 2 4 3 3 4 2 5 +--R (a b + a b - a b - a )cos(d x + c) + a b + a b - a b - a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 2 5 3 4 4 3 5 2 6 7 6 2 5 +--R (a b - a b - 2a b + 2a b + a b - a )cos(d x + c) + a b - a b +--R + +--R 3 4 4 3 5 2 6 +--R - 2a b + 2a b + a b - a b +--R * +--R d x + c 2 +--R sin(d x + c)tan(-------) +--R 2 +--R + +--R 2 5 3 4 4 3 5 2 6 7 6 2 5 +--R (a b + a b - 2a b - 2a b + a b + a )cos(d x + c) + a b + a b +--R + +--R 3 4 4 3 5 2 6 +--R - 2a b - 2a b + a b + a b +--R * +--R sin(d x + c) +--R Type: Expression Integer +--E 57 + +--S 58 of 528 +m0310b:= a0310.2-r0310 +--R +--R +--R (57) +--R d x + c +--R +-------+ (b - a)tan(-------) +--R 3 2 | 2 2 2 +--R (- 2b + 4a b)\|b - a atanh(-------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +-------+ +--R +---------+ | 2 2 +--R 3 2 | 2 2 sin(d x + c)\|b - a +--R (- 2b + 4a b)\|- b + a atan(---------------------------) +--R (b + a)cos(d x + c) + b + a +--R / +--R +---------+ +-------+ +--R 2 2 4 | 2 2 | 2 2 +--R (a b - a )d\|- b + a \|b - a +--R Type: Expression Integer +--E 58 + +--S 59 of 528 +d0310b:= D(m0310b,x) +--R +--R +--R (58) +--R 4 3 2 2 3 2 +--R (- b + a b + 2a b - 2a b)sin(d x + c) +--R + +--R 4 3 2 2 3 2 +--R (- b + 3a b + 2a b - 6a b)cos(d x + c) +--R + +--R 3 3 4 3 2 2 3 +--R (4a b - 8a b)cos(d x + c) + b + a b - 2a b - 2a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 4 3 2 2 3 2 +--R (- b - 3a b + 2a b + 6a b)sin(d x + c) +--R + +--R 4 3 2 2 3 2 4 3 2 2 3 +--R (- b - a b + 2a b + 2a b)cos(d x + c) + b + a b - 2a b - 2a b +--R / +--R 2 4 3 3 5 6 2 +--R (a b - 2a b + 2a b - a )sin(d x + c) +--R + +--R 2 4 4 2 6 2 2 4 4 2 6 +--R (a b - 2a b + a )cos(d x + c) + (2a b - 4a b + 2a )cos(d x + c) +--R + +--R 2 4 4 2 6 +--R a b - 2a b + a +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 2 4 4 2 6 2 +--R (a b - 2a b + a )sin(d x + c) +--R + +--R 2 4 3 3 5 6 2 +--R (a b + 2a b - 2a b - a )cos(d x + c) +--R + +--R 2 4 3 3 5 6 2 4 3 3 5 6 +--R (2a b + 4a b - 4a b - 2a )cos(d x + c) + a b + 2a b - 2a b - a +--R Type: Expression Integer +--E 59 + +--S 60 of 528 +t0311:= 1/(a+b*sec(c+d*x))^3 +--R +--R +--R 1 +--R (59) ------------------------------------------------------------- +--R 3 3 2 2 2 3 +--R b sec(d x + c) + 3a b sec(d x + c) + 3a b sec(d x + c) + a +--R Type: Expression Integer +--E 60 + +--S 61 of 528 +r0311:= x/a^3-6*b^3*atanh((a-b)*tan(1/2*c+1/2*d*x)/(a^2-b^2)^(1/2))/a^3/(a^2-b^2)^(3/2)/d-6*b*atanh((a-b)*tan(1/2*c+1/2*d*x)/(a^2-b^2)^(1/2))/a^3/(a^2-b^2)^(1/2)/d-b^3*(a^2+2*b^2)*atanh((a-b)*tan(1/2*c+1/2*d*x)/(a^2-b^2)^(1/2))/a^3/(a^2-b^2)^(5/2)/d-1/2*b^3*sin(c+d*x)/a^2/(a^2-b^2)/d/(b+a*cos(c+d*x))^2+3/2*b^4*sin(c+d*x)/a^2/(a^2-b^2)^2/d/(b+a*cos(c+d*x))+3*b^2*sin(c+d*x)/a^2/(a^2-b^2)/d/(b+a*cos(c+d*x)) +--R +--R +--R (60) +--R 2 5 4 3 6 2 +--R (4a b - 10a b + 12a b)cos(d x + c) +--R + +--R 6 3 4 5 2 7 2 5 4 3 +--R (8a b - 20a b + 24a b )cos(d x + c) + 4b - 10a b + 12a b +--R * +--R d x + c +--R (b - a)tan(-------) +--R 2 +--R atanh(-------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 2 4 4 2 5 3 3 +--R ((- 3a b + 6a b )cos(d x + c) - 2a b + 5a b )sin(d x + c) +--R + +--R 2 4 4 2 6 2 +--R (2a b - 4a b + 2a )d x cos(d x + c) +--R + +--R 5 3 3 5 6 2 4 4 2 +--R (4a b - 8a b + 4a b)d x cos(d x + c) + (2b - 4a b + 2a b )d x +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 5 4 7 2 9 2 +--R (2a b - 4a b + 2a )d cos(d x + c) +--R + +--R 4 5 6 3 8 3 6 5 4 7 2 +--R (4a b - 8a b + 4a b)d cos(d x + c) + (2a b - 4a b + 2a b )d +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R Type: Expression Integer +--E 61 + +--S 62 of 528 +a0311:= integrate(t0311,x) +--R +--R +--R (61) +--R [ +--R 2 5 4 3 6 2 +--R (2a b - 5a b + 6a b)cos(d x + c) +--R + +--R 6 3 4 5 2 7 2 5 4 3 +--R (4a b - 10a b + 12a b )cos(d x + c) + 2b - 5a b + 6a b +--R * +--R +---------+ +--R | 2 2 2 2 +--R (- b cos(d x + c) - a)\|- b + a + (- b + a )sin(d x + c) +--R log(------------------------------------------------------------) +--R a cos(d x + c) + b +--R + +--R 2 4 4 2 5 3 3 +--R ((- 3a b + 6a b )cos(d x + c) - 2a b + 5a b )sin(d x + c) +--R + +--R 2 4 4 2 6 2 +--R (2a b - 4a b + 2a )d x cos(d x + c) +--R + +--R 5 3 3 5 6 2 4 4 2 +--R (4a b - 8a b + 4a b)d x cos(d x + c) + (2b - 4a b + 2a b )d x +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 5 4 7 2 9 2 +--R (2a b - 4a b + 2a )d cos(d x + c) +--R + +--R 4 5 6 3 8 3 6 5 4 7 2 +--R (4a b - 8a b + 4a b)d cos(d x + c) + (2a b - 4a b + 2a b )d +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R , +--R +--R 2 5 4 3 6 2 +--R (- 4a b + 10a b - 12a b)cos(d x + c) +--R + +--R 6 3 4 5 2 7 2 5 4 3 +--R (- 8a b + 20a b - 24a b )cos(d x + c) - 4b + 10a b - 12a b +--R * +--R +-------+ +--R | 2 2 +--R sin(d x + c)\|b - a +--R atan(---------------------------) +--R (b + a)cos(d x + c) + b + a +--R + +--R 2 4 4 2 5 3 3 +--R ((- 3a b + 6a b )cos(d x + c) - 2a b + 5a b )sin(d x + c) +--R + +--R 2 4 4 2 6 2 +--R (2a b - 4a b + 2a )d x cos(d x + c) +--R + +--R 5 3 3 5 6 2 4 4 2 +--R (4a b - 8a b + 4a b)d x cos(d x + c) + (2b - 4a b + 2a b )d x +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R / +--R 5 4 7 2 9 2 +--R (2a b - 4a b + 2a )d cos(d x + c) +--R + +--R 4 5 6 3 8 3 6 5 4 7 2 +--R (4a b - 8a b + 4a b)d cos(d x + c) + (2a b - 4a b + 2a b )d +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 62 + +--S 63 of 528 +m0311a:= a0311.1-r0311 +--R +--R +--R (62) +--R 5 2 3 4 +--R (2b - 5a b + 6a b) +--R * +--R +---------+ +--R | 2 2 2 2 +--R (- b cos(d x + c) - a)\|- b + a + (- b + a )sin(d x + c) +--R log(------------------------------------------------------------) +--R a cos(d x + c) + b +--R + +--R d x + c +--R (b - a)tan(-------) +--R 5 2 3 4 2 +--R (- 4b + 10a b - 12a b)atanh(-------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +--R 3 4 5 2 7 | 2 2 +--R (2a b - 4a b + 2a )d\|- b + a +--R Type: Expression Integer +--E 63 + +--S 64 of 528 +d0311a:= D(m0311a,x) +--R +--R +--R (63) +--R 6 5 2 4 3 3 4 2 5 2 +--R (- 2b + 2a b + 5a b - 5a b - 6a b + 6a b)sin(d x + c) +--R + +--R 5 3 3 5 2 +--R (2a b - 5a b + 6a b)cos(d x + c) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (2b + 2a b - 5a b - 5a b + 6a b + 6a b)cos(d x + c) + 2b +--R + +--R 2 4 4 2 +--R - 5a b + 6a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 6 5 2 4 3 3 4 2 5 2 +--R (- 2b - 2a b + 5a b + 5a b - 6a b - 6a b)sin(d x + c) +--R + +--R 5 3 3 5 2 +--R (- 2a b + 5a b - 6a b)cos(d x + c) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 2b + 2a b + 5a b - 5a b - 6a b + 6a b)cos(d x + c) + 2b +--R + +--R 2 4 4 2 +--R - 5a b + 6a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 7 2 5 4 3 6 7 2 5 4 3 +--R (2b - 7a b + 11a b - 6a b)cos(d x + c) + 2b - 7a b + 11a b +--R + +--R 6 +--R - 6a b +--R * +--R d x + c 2 +--R sin(d x + c)tan(-------) +--R 2 +--R + +--R 7 2 5 4 3 6 7 2 5 4 3 +--R (2b - 7a b + 11a b - 6a b)cos(d x + c) - 2b + 7a b - 11a b +--R + +--R 6 +--R 6a b +--R * +--R sin(d x + c) +--R / +--R 3 6 4 5 5 4 6 3 7 2 8 2 +--R (2a b - 2a b - 4a b + 4a b + 2a b - 2a b)cos(d x + c) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 9 +--R (2a b - 2a b - 2a b + 2a b - 2a b + 2a b + 2a b - 2a ) +--R * +--R cos(d x + c) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R 2a b - 2a b - 4a b + 4a b + 2a b - 2a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 2 +--R (2a b + 2a b - 4a b - 4a b + 2a b + 2a b)cos(d x + c) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 2 8 9 +--R (2a b + 2a b - 2a b - 2a b - 2a b - 2a b + 2a b + 2a ) +--R * +--R cos(d x + c) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R 2a b + 2a b - 4a b - 4a b + 2a b + 2a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 9 10 +--R (2a b - 2a b - 6a b + 6a b + 6a b - 6a b - 2a b + 2a ) +--R * +--R cos(d x + c) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 8 2 9 +--R 2a b - 2a b - 6a b + 6a b + 6a b - 6a b - 2a b + 2a b +--R * +--R d x + c 2 +--R sin(d x + c)tan(-------) +--R 2 +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 2 9 10 +--R (2a b + 2a b - 6a b - 6a b + 6a b + 6a b - 2a b - 2a ) +--R * +--R cos(d x + c) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 8 2 9 +--R 2a b + 2a b - 6a b - 6a b + 6a b + 6a b - 2a b - 2a b +--R * +--R sin(d x + c) +--R Type: Expression Integer +--E 64 + +--S 65 of 528 +m0311b:= a0311.2-r0311 +--R +--R +--R (64) +--R d x + c +--R +-------+ (b - a)tan(-------) +--R 5 2 3 4 | 2 2 2 +--R (- 2b + 5a b - 6a b)\|b - a atanh(-------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +-------+ +--R +---------+ | 2 2 +--R 5 2 3 4 | 2 2 sin(d x + c)\|b - a +--R (- 2b + 5a b - 6a b)\|- b + a atan(---------------------------) +--R (b + a)cos(d x + c) + b + a +--R / +--R +---------+ +-------+ +--R 3 4 5 2 7 | 2 2 | 2 2 +--R (a b - 2a b + a )d\|- b + a \|b - a +--R Type: Expression Integer +--E 65 + +--S 66 of 528 +d0311b:= D(m0311b,x) +--R +--R +--R (65) +--R 6 5 2 4 3 3 4 2 5 2 +--R (- 2b + 2a b + 5a b - 5a b - 6a b + 6a b)sin(d x + c) +--R + +--R 6 5 2 4 3 3 4 2 5 2 +--R (- 2b + 6a b + 5a b - 15a b - 6a b + 18a b)cos(d x + c) +--R + +--R 5 3 3 5 6 5 2 4 3 3 +--R (8a b - 20a b + 24a b)cos(d x + c) + 2b + 2a b - 5a b - 5a b +--R + +--R 4 2 5 +--R 6a b + 6a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 6 5 2 4 3 3 4 2 5 2 +--R (- 2b - 6a b + 5a b + 15a b - 6a b - 18a b)sin(d x + c) +--R + +--R 6 5 2 4 3 3 4 2 5 2 6 5 +--R (- 2b - 2a b + 5a b + 5a b - 6a b - 6a b)cos(d x + c) + 2b + 2a b +--R + +--R 2 4 3 3 4 2 5 +--R - 5a b - 5a b + 6a b + 6a b +--R / +--R 3 6 4 5 5 4 6 3 7 2 8 9 2 +--R (2a b - 4a b - 2a b + 8a b - 2a b - 4a b + 2a )sin(d x + c) +--R + +--R 3 6 5 4 7 2 9 2 +--R (2a b - 6a b + 6a b - 2a )cos(d x + c) +--R + +--R 3 6 5 4 7 2 9 3 6 5 4 7 2 +--R (4a b - 12a b + 12a b - 4a )cos(d x + c) + 2a b - 6a b + 6a b +--R + +--R 9 +--R - 2a +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 3 6 5 4 7 2 9 2 +--R (2a b - 6a b + 6a b - 2a )sin(d x + c) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 9 2 +--R (2a b + 4a b - 2a b - 8a b - 2a b + 4a b + 2a )cos(d x + c) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 9 3 6 +--R (4a b + 8a b - 4a b - 16a b - 4a b + 8a b + 4a )cos(d x + c) + 2a b +--R + +--R 4 5 5 4 6 3 7 2 8 9 +--R 4a b - 2a b - 8a b - 2a b + 4a b + 2a +--R Type: Expression Integer +--E 66 + +--S 67 of 528 +t0312:= (1+sec(x)^2)^(1/2) +--R +--R +--R +-----------+ +--R | 2 +--R (66) \|sec(x) + 1 +--R Type: Expression Integer +--E 67 + +--S 68 of 528 +r0312:= asinh(1/2*2^(1/2)*tan(x))+atan(tan(x)/(2+tan(x)^2)^(1/2)) +--R +--R +--R +-+ +--R tan(x) \|2 tan(x) +--R (67) atan(--------------) + asinh(----------) +--R +-----------+ 2 +--R | 2 +--R \|tan(x) + 2 +--R Type: Expression Integer +--E 68 + +--S 69 of 528 +a0312:= integrate(t0312,x) +--R +--R +--R (68) +--R - +--R log +--R +---------------------+ +--R | 2 +--R 2 | 4cos(x) + 4 +--R ((cos(x) + 1)sin(x) - cos(x) - cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 +--R - 2cos(x)sin(x) + 2cos(x) + 2 +--R + +--R log +--R +---------------------+ +--R | 2 +--R 2 | 4cos(x) + 4 +--R ((- cos(x) - 1)sin(x) - cos(x) - cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 +--R 2cos(x)sin(x) + 2cos(x) + 2 +--R + +--R atan +--R +---------------------+ +--R | 2 +--R 3 2 | 4cos(x) + 4 +--R (2cos(x) + 2cos(x) )sin(x) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 +--R (- 4cos(x) - 2cos(x))sin(x) +--R / +--R +---------------------+ +--R | 2 +--R 4 3 2 | 4cos(x) + 4 +--R (2cos(x) + 2cos(x) - cos(x) - cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 4 +--R - 4cos(x) + 2 +--R + +--R sin(x) +--R - atan(------) +--R cos(x) +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 69 + +--S 70 of 528 +m0312:= a0312-r0312 +--R +--R +--R (69) +--R - +--R log +--R +---------------------+ +--R | 2 +--R 2 | 4cos(x) + 4 +--R ((cos(x) + 1)sin(x) - cos(x) - cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 +--R - 2cos(x)sin(x) + 2cos(x) + 2 +--R + +--R log +--R +---------------------+ +--R | 2 +--R 2 | 4cos(x) + 4 +--R ((- cos(x) - 1)sin(x) - cos(x) - cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 +--R 2cos(x)sin(x) + 2cos(x) + 2 +--R + +--R atan +--R +---------------------+ +--R | 2 +--R 3 2 | 4cos(x) + 4 +--R (2cos(x) + 2cos(x) )sin(x) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 +--R (- 4cos(x) - 2cos(x))sin(x) +--R / +--R +---------------------+ +--R | 2 +--R 4 3 2 | 4cos(x) + 4 +--R (2cos(x) + 2cos(x) - cos(x) - cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 4 +--R - 4cos(x) + 2 +--R + +--R +-+ +--R tan(x) sin(x) \|2 tan(x) +--R - 2atan(--------------) - atan(------) - 2asinh(----------) +--R +-----------+ cos(x) 2 +--R | 2 +--R \|tan(x) + 2 +--R / +--R 2 +--R Type: Expression Integer +--E 70 + +--S 71 of 528 +d0312:= D(m0312,x) +--R +--R +--R (70) +--R 17 16 15 14 +--R - 1024cos(x) - 1024cos(x) - 768cos(x) - 768cos(x) +--R + +--R 13 12 11 10 +--R 1280cos(x) + 1280cos(x) + 816cos(x) + 816cos(x) +--R + +--R 9 8 7 6 +--R - 540cos(x) - 540cos(x) - 275cos(x) - 275cos(x) +--R + +--R 5 4 3 2 +--R 72cos(x) + 72cos(x) + 30cos(x) + 30cos(x) + cos(x) + 1 +--R * +--R 4 +--R sin(x) +--R + +--R 19 18 17 16 +--R - 2048cos(x) - 2048cos(x) - 2048cos(x) - 2048cos(x) +--R + +--R 15 14 13 12 +--R 896cos(x) + 896cos(x) + 384cos(x) + 384cos(x) +--R + +--R 11 10 9 8 +--R - 264cos(x) - 264cos(x) + 632cos(x) + 632cos(x) +--R + +--R 7 6 5 4 3 +--R 238cos(x) + 238cos(x) - 176cos(x) - 176cos(x) - 60cos(x) +--R + +--R 2 +--R - 60cos(x) - 2cos(x) - 2 +--R * +--R 2 +--R sin(x) +--R + +--R 21 20 19 18 +--R - 1024cos(x) - 1024cos(x) - 1280cos(x) - 1280cos(x) +--R + +--R 17 16 15 14 +--R 1152cos(x) + 1152cos(x) + 1488cos(x) + 1488cos(x) +--R + +--R 13 12 11 10 +--R - 524cos(x) - 524cos(x) - 533cos(x) - 533cos(x) +--R + +--R 9 8 7 6 5 +--R 132cos(x) + 132cos(x) + 39cos(x) + 39cos(x) - 17cos(x) +--R + +--R 4 3 2 +--R - 17cos(x) + 6cos(x) + 6cos(x) + cos(x) + 1 +--R * +--R +---------------------+ +--R | 2 +--R | 4cos(x) + 4 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 17 15 13 11 +--R 2048cos(x) + 2560cos(x) - 2048cos(x) - 2976cos(x) +--R + +--R 9 7 5 3 +--R 600cos(x) + 1130cos(x) - 6cos(x) - 138cos(x) - 16cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 19 17 15 13 +--R 4096cos(x) + 6144cos(x) - 256cos(x) - 1920cos(x) +--R + +--R 11 9 7 5 3 +--R 464cos(x) - 1064cos(x) - 1124cos(x) + 268cos(x) + 284cos(x) +--R + +--R 32cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 21 19 17 15 +--R 2048cos(x) + 3584cos(x) - 1280cos(x) - 4320cos(x) +--R + +--R 13 11 9 7 5 +--R - 72cos(x) + 1774cos(x) + 70cos(x) - 244cos(x) + 34cos(x) +--R + +--R 3 +--R - 2cos(x) - 8cos(x) +--R * +--R +-----------+ +--R | 2 +--R \|tan(x) + 2 +--R + +--R 17 16 15 14 +--R - 1024cos(x) - 1024cos(x) - 1536cos(x) - 1536cos(x) +--R + +--R 13 12 11 10 +--R 320cos(x) + 320cos(x) + 1184cos(x) + 1184cos(x) +--R + +--R 9 8 7 6 5 +--R 188cos(x) + 188cos(x) - 222cos(x) - 222cos(x) - 62cos(x) +--R + +--R 4 3 2 +--R - 62cos(x) - 2cos(x) - 2cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 17 16 15 14 +--R 2048cos(x) + 2048cos(x) + 3072cos(x) + 3072cos(x) +--R + +--R 13 12 11 10 +--R - 896cos(x) - 896cos(x) - 2624cos(x) - 2624cos(x) +--R + +--R 9 8 7 6 +--R - 184cos(x) - 184cos(x) + 636cos(x) + 636cos(x) +--R + +--R 5 4 3 2 +--R 90cos(x) + 90cos(x) - 30cos(x) - 30cos(x) - 2cos(x) - 2 +--R * +--R 2 +--R sin(x) +--R + +--R 21 20 19 18 +--R 1024cos(x) + 1024cos(x) + 1536cos(x) + 1536cos(x) +--R + +--R 17 16 15 14 +--R - 1344cos(x) - 1344cos(x) - 2464cos(x) - 2464cos(x) +--R + +--R 13 12 11 10 +--R 644cos(x) + 644cos(x) + 1470cos(x) + 1470cos(x) +--R + +--R 9 8 7 6 5 +--R - 134cos(x) - 134cos(x) - 378cos(x) - 378cos(x) + 6cos(x) +--R + +--R 4 3 2 +--R 6cos(x) + 34cos(x) + 34cos(x) + 2cos(x) + 2 +--R * +--R 2 +--R tan(x) +--R + +--R 17 16 15 14 +--R - 2048cos(x) - 2048cos(x) - 3072cos(x) - 3072cos(x) +--R + +--R 13 12 11 10 +--R 640cos(x) + 640cos(x) + 2368cos(x) + 2368cos(x) +--R + +--R 9 8 7 6 5 +--R 376cos(x) + 376cos(x) - 444cos(x) - 444cos(x) - 124cos(x) +--R + +--R 4 3 2 +--R - 124cos(x) - 4cos(x) - 4cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 17 16 15 14 +--R 4096cos(x) + 4096cos(x) + 6144cos(x) + 6144cos(x) +--R + +--R 13 12 11 10 +--R - 1792cos(x) - 1792cos(x) - 5248cos(x) - 5248cos(x) +--R + +--R 9 8 7 6 +--R - 368cos(x) - 368cos(x) + 1272cos(x) + 1272cos(x) +--R + +--R 5 4 3 2 +--R 180cos(x) + 180cos(x) - 60cos(x) - 60cos(x) - 4cos(x) - 4 +--R * +--R 2 +--R sin(x) +--R + +--R 21 20 19 18 +--R 2048cos(x) + 2048cos(x) + 3072cos(x) + 3072cos(x) +--R + +--R 17 16 15 14 +--R - 2688cos(x) - 2688cos(x) - 4928cos(x) - 4928cos(x) +--R + +--R 13 12 11 10 +--R 1288cos(x) + 1288cos(x) + 2940cos(x) + 2940cos(x) +--R + +--R 9 8 7 6 5 +--R - 268cos(x) - 268cos(x) - 756cos(x) - 756cos(x) + 12cos(x) +--R + +--R 4 3 2 +--R 12cos(x) + 68cos(x) + 68cos(x) + 4cos(x) + 4 +--R * +--R +---------------------+ +--R | 2 +--R | 4cos(x) + 4 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 17 15 13 11 +--R 2048cos(x) + 4096cos(x) + 640cos(x) - 2944cos(x) +--R + +--R 9 7 5 3 +--R - 1368cos(x) + 448cos(x) + 312cos(x) + 32cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 17 15 13 11 +--R - 4096cos(x) - 8192cos(x) - 768cos(x) + 6656cos(x) +--R + +--R 9 7 5 3 +--R 2544cos(x) - 1504cos(x) - 688cos(x) + 56cos(x) + 24cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 21 19 17 15 +--R - 2048cos(x) - 4096cos(x) + 1408cos(x) + 6528cos(x) +--R + +--R 13 11 9 7 5 +--R 728cos(x) - 3968cos(x) - 880cos(x) + 1088cos(x) + 256cos(x) +--R + +--R 3 +--R - 112cos(x) - 24cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R 17 15 13 11 +--R 4096cos(x) + 8192cos(x) + 1280cos(x) - 5888cos(x) +--R + +--R 9 7 5 3 +--R - 2736cos(x) + 896cos(x) + 624cos(x) + 64cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 17 15 13 11 +--R - 8192cos(x) - 16384cos(x) - 1536cos(x) + 13312cos(x) +--R + +--R 9 7 5 3 +--R 5088cos(x) - 3008cos(x) - 1376cos(x) + 112cos(x) + 48cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 21 19 17 15 +--R - 4096cos(x) - 8192cos(x) + 2816cos(x) + 13056cos(x) +--R + +--R 13 11 9 7 5 +--R 1456cos(x) - 7936cos(x) - 1760cos(x) + 2176cos(x) + 512cos(x) +--R + +--R 3 +--R - 224cos(x) - 48cos(x) +--R / +--R 17 16 15 14 +--R 1024cos(x) + 1024cos(x) + 1536cos(x) + 1536cos(x) +--R + +--R 13 12 11 10 +--R - 320cos(x) - 320cos(x) - 1184cos(x) - 1184cos(x) +--R + +--R 9 8 7 6 5 +--R - 188cos(x) - 188cos(x) + 222cos(x) + 222cos(x) + 62cos(x) +--R + +--R 4 3 2 +--R 62cos(x) + 2cos(x) + 2cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 17 16 15 14 +--R - 2048cos(x) - 2048cos(x) - 3072cos(x) - 3072cos(x) +--R + +--R 13 12 11 10 +--R 896cos(x) + 896cos(x) + 2624cos(x) + 2624cos(x) +--R + +--R 9 8 7 6 5 +--R 184cos(x) + 184cos(x) - 636cos(x) - 636cos(x) - 90cos(x) +--R + +--R 4 3 2 +--R - 90cos(x) + 30cos(x) + 30cos(x) + 2cos(x) + 2 +--R * +--R 2 +--R sin(x) +--R + +--R 21 20 19 18 +--R - 1024cos(x) - 1024cos(x) - 1536cos(x) - 1536cos(x) +--R + +--R 17 16 15 14 +--R 1344cos(x) + 1344cos(x) + 2464cos(x) + 2464cos(x) +--R + +--R 13 12 11 10 +--R - 644cos(x) - 644cos(x) - 1470cos(x) - 1470cos(x) +--R + +--R 9 8 7 6 5 +--R 134cos(x) + 134cos(x) + 378cos(x) + 378cos(x) - 6cos(x) +--R + +--R 4 3 2 +--R - 6cos(x) - 34cos(x) - 34cos(x) - 2cos(x) - 2 +--R * +--R +---------------------+ +--R | 2 +--R | 4cos(x) + 4 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 17 15 13 11 +--R - 2048cos(x) - 4096cos(x) - 640cos(x) + 2944cos(x) +--R + +--R 9 7 5 3 +--R 1368cos(x) - 448cos(x) - 312cos(x) - 32cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 17 15 13 11 +--R 4096cos(x) + 8192cos(x) + 768cos(x) - 6656cos(x) +--R + +--R 9 7 5 3 +--R - 2544cos(x) + 1504cos(x) + 688cos(x) - 56cos(x) - 24cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 21 19 17 15 13 +--R 2048cos(x) + 4096cos(x) - 1408cos(x) - 6528cos(x) - 728cos(x) +--R + +--R 11 9 7 5 3 +--R 3968cos(x) + 880cos(x) - 1088cos(x) - 256cos(x) + 112cos(x) +--R + +--R 24cos(x) +--R * +--R +-----------+ +--R | 2 +--R \|tan(x) + 2 +--R Type: Expression Integer +--E 71 + +--S 72 of 528 +t0313:= (1-sec(x)^2)^(1/2) +--R +--R +--R +-------------+ +--R | 2 +--R (71) \|- sec(x) + 1 +--R Type: Expression Integer +--E 72 + +--S 73 of 528 +r0313:= -cot(x)*log(cos(x))*(-tan(x)^2)^(1/2) +--R +--R +--R +---------+ +--R | 2 +--R (72) - cot(x)log(cos(x))\|- tan(x) +--R Type: Expression Integer +--E 73 + +--S 74 of 528 +a0313:= integrate(t0313,x) +--R +--R +--R x x 3 x 3 x x +--R 2cos(-)sin(-) + (2cos(-) - 2cos(-))sin(-) +--R 2 2 2 2 2 +--R (73) atan(-------------------------------------------) +--R x 4 x 2 x 4 x 2 +--R sin(-) - sin(-) - cos(-) - 3cos(-) +--R 2 2 2 2 +--R Type: Union(Expression Integer,...) +--E 74 + +--S 75 of 528 +m0313:= a0313-r0313 +--R +--R +--R (74) +--R +---------+ +--R | 2 +--R cot(x)log(cos(x))\|- tan(x) +--R + +--R x x 3 x 3 x x +--R 2cos(-)sin(-) + (2cos(-) - 2cos(-))sin(-) +--R 2 2 2 2 2 +--R atan(-------------------------------------------) +--R x 4 x 2 x 4 x 2 +--R sin(-) - sin(-) - cos(-) - 3cos(-) +--R 2 2 2 2 +--R Type: Expression Integer +--E 75 + +--S 76 of 528 +d0313:= D(m0313,x) +--R +--R +--R (75) +--R x 6 x 2 x 4 +--R - cos(x)sin(-) + (- 3cos(-) + 2)cos(x)sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 x 6 x 4 x 2 +--R (- 3cos(-) - 1)cos(x)sin(-) + (- cos(-) - 2cos(-) + 3cos(-) )cos(x) +--R 2 2 2 2 2 +--R * +--R +---------+ +--R | 2 +--R \|- tan(x) +--R + +--R x 6 x 2 x 4 +--R - cos(x)cot(x)sin(-) + (- 3cos(-) + 2)cos(x)cot(x)sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 x 2 +--R (- 3cos(-) + 12cos(-) - 1)cos(x)cot(x)sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R (- cos(-) - 6cos(-) - 9cos(-) )cos(x)cot(x) +--R 2 2 2 +--R * +--R 3 +--R tan(x) +--R + +--R 2 x 6 +--R (cos(x)cot(x) + cos(x))sin(-) +--R 2 +--R + +--R x 2 2 x 2 x 4 +--R ((3cos(-) - 2)cos(x)cot(x) + (3cos(-) - 2)cos(x))sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 2 +--R (3cos(-) - 12cos(-) + 1)cos(x)cot(x) +--R 2 2 +--R + +--R x 4 x 2 +--R (3cos(-) - 12cos(-) + 1)cos(x) +--R 2 2 +--R * +--R x 2 +--R sin(-) +--R 2 +--R + +--R x 6 x 4 x 2 2 +--R (cos(-) + 6cos(-) + 9cos(-) )cos(x)cot(x) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R (cos(-) + 6cos(-) + 9cos(-) )cos(x) +--R 2 2 2 +--R * +--R 2 +--R tan(x) +--R + +--R x 6 x 2 x 4 +--R - cos(x)cot(x)sin(-) + (- 3cos(-) + 2)cos(x)cot(x)sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 x 2 +--R (- 3cos(-) + 12cos(-) - 1)cos(x)cot(x)sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R (- cos(-) - 6cos(-) - 9cos(-) )cos(x)cot(x) +--R 2 2 2 +--R * +--R tan(x) +--R * +--R log(cos(x)) +--R + +--R x 6 x 2 x 4 +--R cot(x)sin(-) + (3cos(-) - 2)cot(x)sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 x 2 +--R (3cos(-) - 12cos(-) + 1)cot(x)sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R (cos(-) + 6cos(-) + 9cos(-) )cot(x) +--R 2 2 2 +--R * +--R 2 +--R sin(x)tan(x) +--R / +--R x 6 x 2 x 4 +--R cos(x)sin(-) + (3cos(-) - 2)cos(x)sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 x 2 +--R (3cos(-) - 12cos(-) + 1)cos(x)sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R (cos(-) + 6cos(-) + 9cos(-) )cos(x) +--R 2 2 2 +--R * +--R +---------+ +--R | 2 +--R \|- tan(x) +--R Type: Expression Integer +--E 76 + +--S 77 of 528 +t0314:= (-1+sec(x)^2)^(1/2) +--R +--R +--R +-----------+ +--R | 2 +--R (76) \|sec(x) - 1 +--R Type: Expression Integer +--E 77 + +--S 78 of 528 +r0314:= -cot(x)*log(cos(x))*(tan(x)^2)^(1/2) +--R +--R +--R +-------+ +--R | 2 +--R (77) - cot(x)log(cos(x))\|tan(x) +--R Type: Expression Integer +--E 78 + +--S 79 of 528 +a0314:= integrate(t0314,x) +--R +--R +--R 2 2cos(x) +--R (78) - log(----------) + log(- ----------) +--R cos(x) + 1 cos(x) + 1 +--R Type: Union(Expression Integer,...) +--E 79 + +--S 80 of 528 +m0314:= a0314-r0314 +--R +--R +--R +-------+ +--R | 2 2 2cos(x) +--R (79) cot(x)log(cos(x))\|tan(x) - log(----------) + log(- ----------) +--R cos(x) + 1 cos(x) + 1 +--R Type: Expression Integer +--E 80 + +--S 81 of 528 +d0314:= D(m0314,x) +--R +--R +--R (80) +--R +-------+ +--R | 2 +--R - sin(x)\|tan(x) +--R + +--R 3 2 2 +--R cos(x)cot(x)tan(x) + (- cos(x)cot(x) - cos(x))tan(x) +--R + +--R cos(x)cot(x)tan(x) +--R * +--R log(cos(x)) +--R + +--R 2 +--R - cot(x)sin(x)tan(x) +--R / +--R +-------+ +--R | 2 +--R cos(x)\|tan(x) +--R Type: Expression Integer +--E 81 + +--S 82 of 528 +t0315:= (-1-sec(x)^2)^(1/2) +--R +--R +--R +-------------+ +--R | 2 +--R (81) \|- sec(x) - 1 +--R Type: Expression Integer +--E 82 + +--S 83 of 528 +r0315:= atan(cot(x)*(-2-tan(x)^2)^(1/2))-atanh(tan(x)/(-2-tan(x)^2)^(1/2)) +--R +--R +--R +-------------+ +--R tan(x) | 2 +--R (82) - atanh(----------------) + atan(cot(x)\|- tan(x) - 2 ) +--R +-------------+ +--R | 2 +--R \|- tan(x) - 2 +--R Type: Expression Integer +--E 83 + +--S 84 of 528 +a0315:= integrate(t0315,x) +--R +--R +--R (83) +--R +---+ +--R 2\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +---+ +--R log(\|(%e ) + 6(%e ) + 1 - (%e ) + 2\|- 1 - 1) +--R + +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +--R log(\|(%e ) + 6(%e ) + 1 - (%e ) - 1) +--R + +--R - +--R +---+ +--R 2\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +---+ +--R log(\|(%e ) + 6(%e ) + 1 - (%e ) - 2\|- 1 - 1) +--R + +--R - +--R log +--R +--------------------------------+ +--R +---+ 2 | +---+ 4 +---+ 2 +--R x\|- 1 | x\|- 1 x\|- 1 +--R (- 2(%e ) - 2)\|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R 2(%e ) + 8(%e ) - 2 +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 84 + +--S 85 of 528 +m0315:= a0315-r0315 +--R +--R +--R (84) +--R +---+ +--R 2\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +---+ +--R log(\|(%e ) + 6(%e ) + 1 - (%e ) + 2\|- 1 - 1) +--R + +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +--R log(\|(%e ) + 6(%e ) + 1 - (%e ) - 1) +--R + +--R - +--R +---+ +--R 2\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +---+ +--R log(\|(%e ) + 6(%e ) + 1 - (%e ) - 2\|- 1 - 1) +--R + +--R - +--R log +--R +--------------------------------+ +--R +---+ 2 | +---+ 4 +---+ 2 +--R x\|- 1 | x\|- 1 x\|- 1 +--R (- 2(%e ) - 2)\|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R 2(%e ) + 8(%e ) - 2 +--R + +--R +-------------+ +--R tan(x) | 2 +--R 2atanh(----------------) - 2atan(cot(x)\|- tan(x) - 2 ) +--R +-------------+ +--R | 2 +--R \|- tan(x) - 2 +--R / +--R 2 +--R Type: Expression Integer +--E 85 + +--S 86 of 528 +d0315:= D(m0315,x) +--R +--R +--R (85) +--R +---+ 6 +---+ 4 +--R +---+ 2 x\|- 1 +---+ 2 x\|- 1 +--R - \|- 1 cot(x) (%e ) - 9\|- 1 cot(x) (%e ) +--R + +--R +---+ 2 +--R +---+ 2 x\|- 1 +---+ 2 +--R - 21\|- 1 cot(x) (%e ) - 9\|- 1 cot(x) +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 6 +--R +---+ 2 +---+ x\|- 1 +--R (- 2\|- 1 cot(x) + \|- 1 )(%e ) +--R + +--R +---+ 4 +--R +---+ 2 +---+ x\|- 1 +--R (- 18\|- 1 cot(x) + 9\|- 1 )(%e ) +--R + +--R +---+ 2 +--R +---+ 2 +---+ x\|- 1 +---+ 2 +--R (- 42\|- 1 cot(x) + 21\|- 1 )(%e ) - 18\|- 1 cot(x) +--R + +--R +---+ +--R 9\|- 1 +--R * +--R +-------------+ +--R | 2 +--R \|- tan(x) - 2 +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R - cot(x)(%e ) - 7cot(x)(%e ) - 13cot(x)(%e ) +--R + +--R - 7cot(x) +--R * +--R 3 +--R tan(x) +--R + +--R +---+ 6 +---+ 4 +--R 2 x\|- 1 2 x\|- 1 +--R (2cot(x) + 1)(%e ) + (14cot(x) + 7)(%e ) +--R + +--R +---+ 2 +--R 2 x\|- 1 2 +--R (26cot(x) + 13)(%e ) + 14cot(x) + 7 +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R - cot(x)(%e ) - 7cot(x)(%e ) - 13cot(x)(%e ) +--R + +--R - 7cot(x) +--R * +--R tan(x) +--R + +--R +---+ 6 +---+ 4 +--R 2 x\|- 1 2 x\|- 1 +--R (4cot(x) + 1)(%e ) + (28cot(x) + 7)(%e ) +--R + +--R +---+ 2 +--R 2 x\|- 1 2 +--R (52cot(x) + 13)(%e ) + 28cot(x) + 7 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +--R +---+ 2 x\|- 1 +---+ 2 x\|- 1 +--R \|- 1 cot(x) (%e ) + 12\|- 1 cot(x) (%e ) +--R + +--R +---+ 4 +---+ 2 +--R +---+ 2 x\|- 1 +---+ 2 x\|- 1 +--R 44\|- 1 cot(x) (%e ) + 48\|- 1 cot(x) (%e ) +--R + +--R +---+ 2 +--R 7\|- 1 cot(x) +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 8 +--R +---+ 2 +---+ x\|- 1 +--R (2\|- 1 cot(x) - \|- 1 )(%e ) +--R + +--R +---+ 6 +--R +---+ 2 +---+ x\|- 1 +--R (24\|- 1 cot(x) - 12\|- 1 )(%e ) +--R + +--R +---+ 4 +--R +---+ 2 +---+ x\|- 1 +--R (88\|- 1 cot(x) - 44\|- 1 )(%e ) +--R + +--R +---+ 2 +--R +---+ 2 +---+ x\|- 1 +---+ 2 +---+ +--R (96\|- 1 cot(x) - 48\|- 1 )(%e ) + 14\|- 1 cot(x) - 7\|- 1 +--R * +--R +-------------+ +--R | 2 +--R \|- tan(x) - 2 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +--R x\|- 1 x\|- 1 x\|- 1 +--R cot(x)(%e ) + 10cot(x)(%e ) + 30cot(x)(%e ) +--R + +--R +---+ 2 +--R x\|- 1 +--R 30cot(x)(%e ) + 9cot(x) +--R * +--R 3 +--R tan(x) +--R + +--R +---+ 8 +---+ 6 +--R 2 x\|- 1 2 x\|- 1 +--R (- 2cot(x) - 1)(%e ) + (- 20cot(x) - 10)(%e ) +--R + +--R +---+ 4 +---+ 2 +--R 2 x\|- 1 2 x\|- 1 +--R (- 60cot(x) - 30)(%e ) + (- 60cot(x) - 30)(%e ) +--R + +--R 2 +--R - 18cot(x) - 9 +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 8 +---+ 6 +---+ 4 +--R x\|- 1 x\|- 1 x\|- 1 +--R cot(x)(%e ) + 10cot(x)(%e ) + 30cot(x)(%e ) +--R + +--R +---+ 2 +--R x\|- 1 +--R 30cot(x)(%e ) + 9cot(x) +--R * +--R tan(x) +--R + +--R +---+ 8 +---+ 6 +--R 2 x\|- 1 2 x\|- 1 +--R (- 4cot(x) - 1)(%e ) + (- 40cot(x) - 10)(%e ) +--R + +--R +---+ 4 +---+ 2 +--R 2 x\|- 1 2 x\|- 1 +--R (- 120cot(x) - 30)(%e ) + (- 120cot(x) - 30)(%e ) +--R + +--R 2 +--R - 36cot(x) - 9 +--R / +--R +---+ 6 +---+ 4 +--R 2 x\|- 1 2 x\|- 1 +--R cot(x) (%e ) + 7cot(x) (%e ) +--R + +--R +---+ 2 +--R 2 x\|- 1 2 +--R 13cot(x) (%e ) + 7cot(x) +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 6 +---+ 4 +--R 2 x\|- 1 2 x\|- 1 +--R (2cot(x) - 1)(%e ) + (14cot(x) - 7)(%e ) +--R + +--R +---+ 2 +--R 2 x\|- 1 2 +--R (26cot(x) - 13)(%e ) + 14cot(x) - 7 +--R * +--R +--------------------------------+ +--R +-------------+ | +---+ 4 +---+ 2 +--R | 2 | x\|- 1 x\|- 1 +--R \|- tan(x) - 2 \|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +--R 2 x\|- 1 2 x\|- 1 +--R - cot(x) (%e ) - 10cot(x) (%e ) +--R + +--R +---+ 4 +---+ 2 +--R 2 x\|- 1 2 x\|- 1 2 +--R - 30cot(x) (%e ) - 30cot(x) (%e ) - 9cot(x) +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 8 +---+ 6 +--R 2 x\|- 1 2 x\|- 1 +--R (- 2cot(x) + 1)(%e ) + (- 20cot(x) + 10)(%e ) +--R + +--R +---+ 4 +---+ 2 +--R 2 x\|- 1 2 x\|- 1 +--R (- 60cot(x) + 30)(%e ) + (- 60cot(x) + 30)(%e ) +--R + +--R 2 +--R - 18cot(x) + 9 +--R * +--R +-------------+ +--R | 2 +--R \|- tan(x) - 2 +--R Type: Expression Integer +--E 86 + +--S 87 of 528 +t0316:= (a+b*sec(x)^2)^(1/2) +--R +--R +--R +-------------+ +--R | 2 +--R (86) \|b sec(x) + a +--R Type: Expression Integer +--E 87 + +--S 88 of 528 +r0316:= a^(1/2)*atan(a^(1/2)*tan(x)/(a+b*sec(x)^2)^(1/2))+b^(1/2)*atanh(cot(x)*(a+b*sec(x)^2)^(1/2)/b^(1/2)) +--R +--R +--R +-------------+ +--R | 2 +-+ +--R +-+ cot(x)\|b sec(x) + a +-+ tan(x)\|a +--R (87) \|b atanh(----------------------) + \|a atan(----------------) +--R +-+ +-------------+ +--R \|b | 2 +--R \|b sec(x) + a +--R Type: Expression Integer +--E 88 + +--S 89 of 528 +a0316:= integrate(t0316,x) +--R +--R +--R (88) +--R [ +--R +-+ +-+ +--R \|a \|b +--R * +--R log +--R 4 9 4 8 3 7 +--R 128a cos(x) + 128a cos(x) + 256a b cos(x) +--R + +--R 3 6 2 2 5 2 2 4 +--R 256a b cos(x) + 160a b cos(x) + 160a b cos(x) +--R + +--R 3 3 3 2 4 4 +--R 32a b cos(x) + 32a b cos(x) + b cos(x) + b +--R * +--R +-+ +--R sin(x)\|b +--R + +--R 3 4 10 3 4 9 +--R (- 64a b + 64a )cos(x) + (- 64a b + 64a )cos(x) +--R + +--R 2 2 3 8 +--R (- 96a b + 224a b)cos(x) +--R + +--R 2 2 3 7 +--R (- 96a b + 224a b)cos(x) +--R + +--R 3 2 2 6 +--R (- 40a b + 232a b )cos(x) +--R + +--R 3 2 2 5 4 3 4 +--R (- 40a b + 232a b )cos(x) + (- 4b + 84a b )cos(x) +--R + +--R 4 3 3 4 2 4 +--R (- 4b + 84a b )cos(x) + 8b cos(x) + 8b cos(x) +--R * +--R +-+ +--R \|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 4 9 3 7 2 2 5 +--R - 256a cos(x) - 640a b cos(x) - 544a b cos(x) +--R + +--R 3 3 4 +--R - 176a b cos(x) - 16b cos(x) +--R * +--R +-+ +-+ +--R sin(x)\|a \|b +--R + +--R 4 5 10 3 2 4 8 +--R (128a b - 128a )cos(x) + (256a b - 512a b)cos(x) +--R + +--R 2 3 3 2 6 4 2 3 4 +--R (160a b - 672a b )cos(x) + (32a b - 352a b )cos(x) +--R + +--R 5 4 2 5 +--R (b - 65a b )cos(x) - 2b +--R / +--R 3 10 3 9 2 8 2 7 +--R 64a cos(x) + 64a cos(x) + 96a b cos(x) + 96a b cos(x) +--R + +--R 2 6 2 5 3 4 3 3 +--R 40a b cos(x) + 40a b cos(x) + 4b cos(x) + 4b cos(x) +--R * +--R +---------------------+ +--R | 2 +--R +-+ | 4a cos(x) + 4b +--R \|a |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 4 10 3 8 2 2 6 +--R - 128a cos(x) - 256a b cos(x) - 160a b cos(x) +--R + +--R 3 4 4 2 +--R - 32a b cos(x) - b cos(x) +--R + +--R a +--R * +--R atan +--R 3 2 +-+ +--R (4a cos(x) + 4a cos(x) + (b - a)cos(x) + b - a)sin(x)\|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 3 2 +--R (- 8a cos(x) + (- 6a b + 2a )cos(x))sin(x) +--R / +--R 4 3 2 +--R (4a cos(x) + 4a cos(x) + (b - 3a)cos(x) + (b - 3a)cos(x)) +--R * +--R +---------------------+ +--R | 2 +--R +-+ | 4a cos(x) + 4b +--R \|a |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 4 2 2 +--R - 8a cos(x) + (- 6a b + 6a )cos(x) + 4a b +--R + +--R sin(x) +--R - a atan(------) +--R cos(x) +--R / +--R +-+ +--R 2\|a +--R , +--R +--R a +--R * +--R atan +--R 3 2 +-+ +--R (4a cos(x) + 4a cos(x) + (b - a)cos(x) + b - a)sin(x)\|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 3 2 +--R (- 8a cos(x) + (- 6a b + 2a )cos(x))sin(x) +--R / +--R 4 3 2 +--R (4a cos(x) + 4a cos(x) + (b - 3a)cos(x) + (b - 3a)cos(x)) +--R * +--R +---------------------+ +--R | 2 +--R +-+ | 4a cos(x) + 4b +--R \|a |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 4 2 2 +--R - 8a cos(x) + (- 6a b + 6a )cos(x) + 4a b +--R + +--R - +--R +---+ +-+ +--R 2\|- b \|a +--R * +--R atan +--R +---------------------+ +--R | 2 +--R +---+ | 4a cos(x) + 4b +--R (cos(x) + 1)sin(x)\|- b |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R +---+ +-+ +--R - 2cos(x)sin(x)\|- b \|a +--R / +--R +---------------------+ +--R | 2 +--R 2 +-+ | 4a cos(x) + 4b 2 +--R (cos(x) + cos(x))\|a |--------------------- - 2a cos(x) +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R - 2b +--R + +--R sin(x) +--R - a atan(------) +--R cos(x) +--R / +--R +-+ +--R 2\|a +--R ] +--R Type: Union(List Expression Integer,...) +--E 89 + +--S 90 of 528 +m0316a:= a0316.1-r0316 +--R +--R +--R (89) +--R +-+ +-+ +--R \|a \|b +--R * +--R log +--R 4 9 4 8 3 7 +--R 128a cos(x) + 128a cos(x) + 256a b cos(x) +--R + +--R 3 6 2 2 5 2 2 4 +--R 256a b cos(x) + 160a b cos(x) + 160a b cos(x) +--R + +--R 3 3 3 2 4 4 +--R 32a b cos(x) + 32a b cos(x) + b cos(x) + b +--R * +--R +-+ +--R sin(x)\|b +--R + +--R 3 4 10 3 4 9 +--R (- 64a b + 64a )cos(x) + (- 64a b + 64a )cos(x) +--R + +--R 2 2 3 8 2 2 3 7 +--R (- 96a b + 224a b)cos(x) + (- 96a b + 224a b)cos(x) +--R + +--R 3 2 2 6 +--R (- 40a b + 232a b )cos(x) +--R + +--R 3 2 2 5 4 3 4 +--R (- 40a b + 232a b )cos(x) + (- 4b + 84a b )cos(x) +--R + +--R 4 3 3 4 2 4 +--R (- 4b + 84a b )cos(x) + 8b cos(x) + 8b cos(x) +--R * +--R +-+ +--R \|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 4 9 3 7 2 2 5 +--R - 256a cos(x) - 640a b cos(x) - 544a b cos(x) +--R + +--R 3 3 4 +--R - 176a b cos(x) - 16b cos(x) +--R * +--R +-+ +-+ +--R sin(x)\|a \|b +--R + +--R 4 5 10 3 2 4 8 +--R (128a b - 128a )cos(x) + (256a b - 512a b)cos(x) +--R + +--R 2 3 3 2 6 4 2 3 4 +--R (160a b - 672a b )cos(x) + (32a b - 352a b )cos(x) +--R + +--R 5 4 2 5 +--R (b - 65a b )cos(x) - 2b +--R / +--R 3 10 3 9 2 8 2 7 +--R 64a cos(x) + 64a cos(x) + 96a b cos(x) + 96a b cos(x) +--R + +--R 2 6 2 5 3 4 3 3 +--R 40a b cos(x) + 40a b cos(x) + 4b cos(x) + 4b cos(x) +--R * +--R +---------------------+ +--R | 2 +--R +-+ | 4a cos(x) + 4b +--R \|a |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 4 10 3 8 2 2 6 +--R - 128a cos(x) - 256a b cos(x) - 160a b cos(x) +--R + +--R 3 4 4 2 +--R - 32a b cos(x) - b cos(x) +--R + +--R +-------------+ +--R | 2 +--R +-+ +-+ cot(x)\|b sec(x) + a +--R - 2\|a \|b atanh(----------------------) +--R +-+ +--R \|b +--R + +--R a +--R * +--R atan +--R 3 2 +-+ +--R (4a cos(x) + 4a cos(x) + (b - a)cos(x) + b - a)sin(x)\|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 3 2 +--R (- 8a cos(x) + (- 6a b + 2a )cos(x))sin(x) +--R / +--R 4 3 2 +--R (4a cos(x) + 4a cos(x) + (b - 3a)cos(x) + (b - 3a)cos(x)) +--R * +--R +---------------------+ +--R | 2 +--R +-+ | 4a cos(x) + 4b +--R \|a |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 4 2 2 +--R - 8a cos(x) + (- 6a b + 6a )cos(x) + 4a b +--R + +--R +-+ +--R tan(x)\|a sin(x) +--R - 2a atan(----------------) - a atan(------) +--R +-------------+ cos(x) +--R | 2 +--R \|b sec(x) + a +--R / +--R +-+ +--R 2\|a +--R Type: Expression Integer +--E 90 + +--S 91 of 528 +--d0316a:= D(m0316a,x) +--E 91 + +--S 92 of 528 +m0316b:= a0316.2-r0316 +--R +--R +--R (90) +--R +-------------+ +--R | 2 +--R +-+ +-+ cot(x)\|b sec(x) + a +--R - 2\|a \|b atanh(----------------------) +--R +-+ +--R \|b +--R + +--R a +--R * +--R atan +--R 3 2 +-+ +--R (4a cos(x) + 4a cos(x) + (b - a)cos(x) + b - a)sin(x)\|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 3 2 +--R (- 8a cos(x) + (- 6a b + 2a )cos(x))sin(x) +--R / +--R 4 3 2 +--R (4a cos(x) + 4a cos(x) + (b - 3a)cos(x) + (b - 3a)cos(x)) +--R * +--R +---------------------+ +--R | 2 +--R +-+ | 4a cos(x) + 4b +--R \|a |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 4 2 2 +--R - 8a cos(x) + (- 6a b + 6a )cos(x) + 4a b +--R + +--R - +--R +---+ +-+ +--R 2\|- b \|a +--R * +--R atan +--R +---------------------+ +--R | 2 +--R +---+ | 4a cos(x) + 4b +--R (cos(x) + 1)sin(x)\|- b |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R +---+ +-+ +--R - 2cos(x)sin(x)\|- b \|a +--R / +--R +---------------------+ +--R | 2 +--R 2 +-+ | 4a cos(x) + 4b 2 +--R (cos(x) + cos(x))\|a |--------------------- - 2a cos(x) +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R - 2b +--R + +--R +-+ +--R tan(x)\|a sin(x) +--R - 2a atan(----------------) - a atan(------) +--R +-------------+ cos(x) +--R | 2 +--R \|b sec(x) + a +--R / +--R +-+ +--R 2\|a +--R Type: Expression Integer +--E 92 + +--S 93 of 528 +d0316b:= D(m0316b,x) +--R +--R +--R (91) +--R 7 2 16 7 2 15 +--R - 2048a b cos(x) - 2048a b cos(x) +--R + +--R 6 3 7 2 14 +--R (- 6144a b + 4608a b )cos(x) +--R + +--R 6 3 7 2 13 +--R (- 6144a b + 4608a b )cos(x) +--R + +--R 5 4 6 3 7 2 12 +--R (- 6912a b + 13056a b - 3456a b )cos(x) +--R + +--R 5 4 6 3 7 2 11 +--R (- 6912a b + 13056a b - 3456a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 10 +--R (- 3584a b + 13536a b - 9216a b + 864a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 9 +--R (- 3584a b + 13536a b - 9216a b + 864a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 8 +--R (- 840a b + 6192a b - 8736a b + 2160a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 +--R (- 840a b + 6192a b - 8736a b + 2160a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 +--R (- 72a b + 1170a b - 3456a b + 1854a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 5 +--R (- 72a b + 1170a b - 3456a b + 1854a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 4 +--R (- a b + 63a b - 495a b + 617a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 3 +--R (- a b + 63a b - 495a b + 617a b )cos(x) +--R + +--R 2 7 3 6 2 2 7 3 6 +--R (- 12a b + 60a b )cos(x) + (- 12a b + 60a b )cos(x) +--R * +--R 2 2 +--R cot(x) sec(x) +--R + +--R 8 16 8 15 +--R - 2048a b cos(x) - 2048a b cos(x) +--R + +--R 7 2 8 14 +--R (- 6144a b + 4608a b)cos(x) +--R + +--R 7 2 8 13 +--R (- 6144a b + 4608a b)cos(x) +--R + +--R 6 3 7 2 8 12 +--R (- 6912a b + 13056a b - 3456a b)cos(x) +--R + +--R 6 3 7 2 8 11 +--R (- 6912a b + 13056a b - 3456a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 10 +--R (- 3584a b + 13536a b - 9216a b + 864a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 9 +--R (- 3584a b + 13536a b - 9216a b + 864a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R (- 840a b + 6192a b - 8736a b + 2160a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 7 +--R (- 840a b + 6192a b - 8736a b + 2160a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 6 +--R (- 72a b + 1170a b - 3456a b + 1854a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 5 +--R (- 72a b + 1170a b - 3456a b + 1854a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 4 +--R (- a b + 63a b - 495a b + 617a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 3 +--R (- a b + 63a b - 495a b + 617a b )cos(x) +--R + +--R 3 6 4 5 2 3 6 4 5 +--R (- 12a b + 60a b )cos(x) + (- 12a b + 60a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 7 2 16 7 2 15 +--R 2048a b cos(x) + 2048a b cos(x) +--R + +--R 6 3 7 2 14 6 3 7 2 13 +--R (6144a b - 4608a b )cos(x) + (6144a b - 4608a b )cos(x) +--R + +--R 5 4 6 3 7 2 12 +--R (6912a b - 13056a b + 3456a b )cos(x) +--R + +--R 5 4 6 3 7 2 11 +--R (6912a b - 13056a b + 3456a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 10 +--R (3584a b - 13536a b + 9216a b - 864a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 9 +--R (3584a b - 13536a b + 9216a b - 864a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 8 +--R (840a b - 6192a b + 8736a b - 2160a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 +--R (840a b - 6192a b + 8736a b - 2160a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 +--R (72a b - 1170a b + 3456a b - 1854a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 5 +--R (72a b - 1170a b + 3456a b - 1854a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 4 +--R (a b - 63a b + 495a b - 617a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 3 +--R (a b - 63a b + 495a b - 617a b )cos(x) +--R + +--R 2 7 3 6 2 2 7 3 6 +--R (12a b - 60a b )cos(x) + (12a b - 60a b )cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 7 2 18 7 2 17 +--R - 4096a b cos(x) - 4096a b cos(x) +--R + +--R 6 3 7 2 8 16 +--R (- 14336a b + 10752a b - 512a b)cos(x) +--R + +--R 6 3 7 2 8 15 +--R (- 14336a b + 10752a b - 512a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 14 +--R (- 19968a b + 34560a b - 13184a b + 640a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 13 +--R (- 19968a b + 34560a b - 13184a b + 640a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 +--R - 14080a b + 42976a b - 36064a b + 8032a b +--R + +--R 8 +--R - 96a b +--R * +--R 12 +--R cos(x) +--R + +--R 4 5 5 4 6 3 7 2 +--R - 14080a b + 42976a b - 36064a b + 8032a b +--R + +--R 8 +--R - 96a b +--R * +--R 11 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R - 5264a b + 25968a b - 38608a b + 18896a b +--R + +--R 7 2 8 +--R - 1592a b - 72a b +--R * +--R 10 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R - 5264a b + 25968a b - 38608a b + 18896a b +--R + +--R 7 2 8 +--R - 1592a b - 72a b +--R * +--R 9 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 +--R - 984a b + 7818a b - 19106a b + 17534a b +--R + +--R 6 3 7 2 +--R - 3710a b - 192a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 +--R - 984a b + 7818a b - 19106a b + 17534a b +--R + +--R 6 3 7 2 +--R - 3710a b - 192a b +--R * +--R 7 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 74a b + 1059a b - 4224a b + 7058a b - 3214a b +--R + +--R 6 3 +--R - 173a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 74a b + 1059a b - 4224a b + 7058a b - 3214a b +--R + +--R 6 3 +--R - 173a b +--R * +--R 5 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - b + 45a b - 332a b + 1060a b - 1115a b +--R + +--R 5 4 +--R - 57a b +--R * +--R 4 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - b + 45a b - 332a b + 1060a b - 1115a b +--R + +--R 5 4 +--R - 57a b +--R * +--R 3 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 2 +--R (- 4a b + 28a b - 116a b - 4a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R (- 4a b + 28a b - 116a b - 4a b )cos(x) +--R * +--R 2 2 +--R cot(x) sec(x) +--R + +--R 8 18 8 17 +--R - 4096a b cos(x) - 4096a b cos(x) +--R + +--R 7 2 8 9 16 +--R (- 14336a b + 10752a b - 512a )cos(x) +--R + +--R 7 2 8 9 15 +--R (- 14336a b + 10752a b - 512a )cos(x) +--R + +--R 6 3 7 2 8 9 14 +--R (- 19968a b + 34560a b - 13184a b + 640a )cos(x) +--R + +--R 6 3 7 2 8 9 13 +--R (- 19968a b + 34560a b - 13184a b + 640a )cos(x) +--R + +--R 5 4 6 3 7 2 8 9 +--R (- 14080a b + 42976a b - 36064a b + 8032a b - 96a ) +--R * +--R 12 +--R cos(x) +--R + +--R 5 4 6 3 7 2 8 9 +--R (- 14080a b + 42976a b - 36064a b + 8032a b - 96a ) +--R * +--R 11 +--R cos(x) +--R + +--R 4 5 5 4 6 3 7 2 +--R - 5264a b + 25968a b - 38608a b + 18896a b +--R + +--R 8 9 +--R - 1592a b - 72a +--R * +--R 10 +--R cos(x) +--R + +--R 4 5 5 4 6 3 7 2 +--R - 5264a b + 25968a b - 38608a b + 18896a b +--R + +--R 8 9 +--R - 1592a b - 72a +--R * +--R 9 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R - 984a b + 7818a b - 19106a b + 17534a b +--R + +--R 7 2 8 +--R - 3710a b - 192a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R - 984a b + 7818a b - 19106a b + 17534a b +--R + +--R 7 2 8 +--R - 3710a b - 192a b +--R * +--R 7 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 74a b + 1059a b - 4224a b + 7058a b - 3214a b +--R + +--R 7 2 +--R - 173a b +--R * +--R 6 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 74a b + 1059a b - 4224a b + 7058a b - 3214a b +--R + +--R 7 2 +--R - 173a b +--R * +--R 5 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - a b + 45a b - 332a b + 1060a b - 1115a b +--R + +--R 6 3 +--R - 57a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - a b + 45a b - 332a b + 1060a b - 1115a b +--R + +--R 6 3 +--R - 57a b +--R * +--R 3 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 2 +--R (- 4a b + 28a b - 116a b - 4a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 +--R (- 4a b + 28a b - 116a b - 4a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 7 2 18 7 2 17 +--R 4096a b cos(x) + 4096a b cos(x) +--R + +--R 6 3 7 2 8 16 +--R (14336a b - 10752a b + 512a b)cos(x) +--R + +--R 6 3 7 2 8 15 +--R (14336a b - 10752a b + 512a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 14 +--R (19968a b - 34560a b + 13184a b - 640a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 13 +--R (19968a b - 34560a b + 13184a b - 640a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R (14080a b - 42976a b + 36064a b - 8032a b + 96a b) +--R * +--R 12 +--R cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R (14080a b - 42976a b + 36064a b - 8032a b + 96a b) +--R * +--R 11 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R 5264a b - 25968a b + 38608a b - 18896a b + 1592a b +--R + +--R 8 +--R 72a b +--R * +--R 10 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R 5264a b - 25968a b + 38608a b - 18896a b + 1592a b +--R + +--R 8 +--R 72a b +--R * +--R 9 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R 984a b - 7818a b + 19106a b - 17534a b + 3710a b +--R + +--R 7 2 +--R 192a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R 984a b - 7818a b + 19106a b - 17534a b + 3710a b +--R + +--R 7 2 +--R 192a b +--R * +--R 7 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 74a b - 1059a b + 4224a b - 7058a b + 3214a b +--R + +--R 6 3 +--R 173a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 74a b - 1059a b + 4224a b - 7058a b + 3214a b +--R + +--R 6 3 +--R 173a b +--R * +--R 5 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 4 +--R (b - 45a b + 332a b - 1060a b + 1115a b + 57a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 3 +--R (b - 45a b + 332a b - 1060a b + 1115a b + 57a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 2 +--R (4a b - 28a b + 116a b + 4a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R (4a b - 28a b + 116a b + 4a b )cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 7 2 20 7 2 19 +--R - 2048a b cos(x) - 2048a b cos(x) +--R + +--R 6 3 7 2 8 18 +--R (- 8192a b + 6144a b - 512a b)cos(x) +--R + +--R 6 3 7 2 8 17 +--R (- 8192a b + 6144a b - 512a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 16 +--R (- 13056a b + 23552a b - 9216a b + 1152a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 15 +--R (- 13056a b + 23552a b - 9216a b + 1152a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R (- 10496a b + 35456a b - 29536a b + 8448a b - 864a b) +--R * +--R 14 +--R cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R (- 10496a b + 35456a b - 29536a b + 8448a b - 864a b) +--R * +--R 13 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R - 4424a b + 26304a b - 39824a b + 20736a b - 4248a b +--R + +--R 8 +--R 216a b +--R * +--R 12 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R - 4424a b + 26304a b - 39824a b + 20736a b - 4248a b +--R + +--R 8 +--R 216a b +--R * +--R 11 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 912a b + 9816a b - 26354a b + 23592a b - 8070a b +--R + +--R 7 2 +--R 864a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 912a b + 9816a b - 26354a b + 23592a b - 8070a b +--R + +--R 7 2 +--R 864a b +--R * +--R 9 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 73a b + 1644a b - 8403a b + 13295a b - 7452a b +--R + +--R 6 3 +--R 1341a b +--R * +--R 8 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 73a b + 1644a b - 8403a b + 13295a b - 7452a b +--R + +--R 6 3 +--R 1341a b +--R * +--R 7 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R (- b + 84a b - 1066a b + 3434a b - 3393a b + 998a b ) +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R (- b + 84a b - 1066a b + 3434a b - 3393a b + 998a b ) +--R * +--R 5 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 4 +--R (- 25a b + 291a b - 655a b + 349a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 3 +--R (- 25a b + 291a b - 655a b + 349a b )cos(x) +--R + +--R 2 7 3 6 2 2 7 3 6 +--R (- 28a b + 44a b )cos(x) + (- 28a b + 44a b )cos(x) +--R * +--R 2 2 +--R cot(x) sec(x) +--R + +--R 8 20 8 19 +--R - 2048a b cos(x) - 2048a b cos(x) +--R + +--R 7 2 8 9 18 +--R (- 8192a b + 6144a b - 512a )cos(x) +--R + +--R 7 2 8 9 17 +--R (- 8192a b + 6144a b - 512a )cos(x) +--R + +--R 6 3 7 2 8 9 16 +--R (- 13056a b + 23552a b - 9216a b + 1152a )cos(x) +--R + +--R 6 3 7 2 8 9 15 +--R (- 13056a b + 23552a b - 9216a b + 1152a )cos(x) +--R + +--R 5 4 6 3 7 2 8 9 +--R (- 10496a b + 35456a b - 29536a b + 8448a b - 864a ) +--R * +--R 14 +--R cos(x) +--R + +--R 5 4 6 3 7 2 8 9 +--R (- 10496a b + 35456a b - 29536a b + 8448a b - 864a ) +--R * +--R 13 +--R cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R - 4424a b + 26304a b - 39824a b + 20736a b - 4248a b +--R + +--R 9 +--R 216a +--R * +--R 12 +--R cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R - 4424a b + 26304a b - 39824a b + 20736a b - 4248a b +--R + +--R 9 +--R 216a +--R * +--R 11 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R - 912a b + 9816a b - 26354a b + 23592a b - 8070a b +--R + +--R 8 +--R 864a b +--R * +--R 10 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R - 912a b + 9816a b - 26354a b + 23592a b - 8070a b +--R + +--R 8 +--R 864a b +--R * +--R 9 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 73a b + 1644a b - 8403a b + 13295a b - 7452a b +--R + +--R 7 2 +--R 1341a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 73a b + 1644a b - 8403a b + 13295a b - 7452a b +--R + +--R 7 2 +--R 1341a b +--R * +--R 7 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - a b + 84a b - 1066a b + 3434a b - 3393a b +--R + +--R 6 3 +--R 998a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - a b + 84a b - 1066a b + 3434a b - 3393a b +--R + +--R 6 3 +--R 998a b +--R * +--R 5 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 4 +--R (- 25a b + 291a b - 655a b + 349a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 3 +--R (- 25a b + 291a b - 655a b + 349a b )cos(x) +--R + +--R 3 6 4 5 2 3 6 4 5 +--R (- 28a b + 44a b )cos(x) + (- 28a b + 44a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 7 2 20 7 2 19 +--R 2048a b cos(x) + 2048a b cos(x) +--R + +--R 6 3 7 2 8 18 +--R (8192a b - 6144a b + 512a b)cos(x) +--R + +--R 6 3 7 2 8 17 +--R (8192a b - 6144a b + 512a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 16 +--R (13056a b - 23552a b + 9216a b - 1152a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 15 +--R (13056a b - 23552a b + 9216a b - 1152a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 14 +--R (10496a b - 35456a b + 29536a b - 8448a b + 864a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 13 +--R (10496a b - 35456a b + 29536a b - 8448a b + 864a b)cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R 4424a b - 26304a b + 39824a b - 20736a b + 4248a b +--R + +--R 8 +--R - 216a b +--R * +--R 12 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R 4424a b - 26304a b + 39824a b - 20736a b + 4248a b +--R + +--R 8 +--R - 216a b +--R * +--R 11 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R 912a b - 9816a b + 26354a b - 23592a b + 8070a b +--R + +--R 7 2 +--R - 864a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R 912a b - 9816a b + 26354a b - 23592a b + 8070a b +--R + +--R 7 2 +--R - 864a b +--R * +--R 9 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 73a b - 1644a b + 8403a b - 13295a b + 7452a b +--R + +--R 6 3 +--R - 1341a b +--R * +--R 8 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 73a b - 1644a b + 8403a b - 13295a b + 7452a b +--R + +--R 6 3 +--R - 1341a b +--R * +--R 7 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 6 +--R (b - 84a b + 1066a b - 3434a b + 3393a b - 998a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 5 +--R (b - 84a b + 1066a b - 3434a b + 3393a b - 998a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 4 +--R (25a b - 291a b + 655a b - 349a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 3 +--R (25a b - 291a b + 655a b - 349a b )cos(x) +--R + +--R 2 7 3 6 2 2 7 3 6 +--R (28a b - 44a b )cos(x) + (28a b - 44a b )cos(x) +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 7 2 16 6 3 7 2 14 +--R 4096a b cos(x) + (14336a b - 9216a b )cos(x) +--R + +--R 5 4 6 3 7 2 12 +--R (19456a b - 30720a b + 6912a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 10 +--R (12800a b - 38976a b + 21888a b - 1728a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 8 +--R (4144a b - 23232a b + 25824a b - 5184a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 +--R (584a b - 6420a b + 13776a b - 5652a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 4 +--R (24a b - 672a b + 3144a b - 2656a b )cos(x) +--R + +--R 8 2 7 3 6 2 2 7 +--R (- 12a b + 216a b - 476a b )cos(x) - 16a b +--R * +--R 2 2 +--R cot(x) sec(x) +--R + +--R 8 16 7 2 8 14 +--R 4096a b cos(x) + (14336a b - 9216a b)cos(x) +--R + +--R 6 3 7 2 8 12 +--R (19456a b - 30720a b + 6912a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 10 +--R (12800a b - 38976a b + 21888a b - 1728a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R (4144a b - 23232a b + 25824a b - 5184a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 6 +--R (584a b - 6420a b + 13776a b - 5652a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 4 +--R (24a b - 672a b + 3144a b - 2656a b )cos(x) +--R + +--R 2 7 3 6 4 5 2 3 6 +--R (- 12a b + 216a b - 476a b )cos(x) - 16a b +--R * +--R 2 +--R cot(x) +--R + +--R 7 2 16 6 3 7 2 14 +--R - 4096a b cos(x) + (- 14336a b + 9216a b )cos(x) +--R + +--R 5 4 6 3 7 2 12 +--R (- 19456a b + 30720a b - 6912a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 10 +--R (- 12800a b + 38976a b - 21888a b + 1728a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 8 +--R (- 4144a b + 23232a b - 25824a b + 5184a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 +--R (- 584a b + 6420a b - 13776a b + 5652a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 4 +--R (- 24a b + 672a b - 3144a b + 2656a b )cos(x) +--R + +--R 8 2 7 3 6 2 2 7 +--R (12a b - 216a b + 476a b )cos(x) + 16a b +--R * +--R 4 +--R sin(x) +--R + +--R 7 2 18 +--R 8192a b cos(x) +--R + +--R 6 3 7 2 8 16 +--R (32768a b - 21504a b + 1024a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 14 +--R (53248a b - 79872a b + 26880a b - 1280a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 +--R 45056a b - 117824a b + 85184a b - 16704a b +--R + +--R 8 +--R 192a b +--R * +--R 12 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R 21088a b - 87616a b + 110048a b - 45664a b +--R + +--R 7 2 8 +--R 3280a b + 144a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 +--R 5312a b - 34340a b + 69412a b - 52036a b +--R + +--R 6 3 7 2 +--R 8988a b + 456a b +--R * +--R 8 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 632a b - 6704a b + 21408a b - 27880a b + 9752a b +--R + +--R 6 3 +--R 520a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 24b - 532a b + 2820a b - 6564a b + 4708a b +--R + +--R 5 4 +--R 248a b +--R * +--R 4 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 2 +--R (- 8b + 104a b - 480a b + 888a b + 40a b )cos(x) +--R + +--R 2 7 +--R 32a b +--R * +--R 2 2 +--R cot(x) sec(x) +--R + +--R 8 18 +--R 8192a b cos(x) +--R + +--R 7 2 8 9 16 +--R (32768a b - 21504a b + 1024a )cos(x) +--R + +--R 6 3 7 2 8 9 14 +--R (53248a b - 79872a b + 26880a b - 1280a )cos(x) +--R + +--R 5 4 6 3 7 2 8 9 +--R (45056a b - 117824a b + 85184a b - 16704a b + 192a ) +--R * +--R 12 +--R cos(x) +--R + +--R 4 5 5 4 6 3 7 2 +--R 21088a b - 87616a b + 110048a b - 45664a b +--R + +--R 8 9 +--R 3280a b + 144a +--R * +--R 10 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R 5312a b - 34340a b + 69412a b - 52036a b +--R + +--R 7 2 8 +--R 8988a b + 456a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R 632a b - 6704a b + 21408a b - 27880a b + 9752a b +--R + +--R 7 2 +--R 520a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 24a b - 532a b + 2820a b - 6564a b + 4708a b +--R + +--R 6 3 +--R 248a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 2 +--R (- 8a b + 104a b - 480a b + 888a b + 40a b )cos(x) +--R + +--R 3 6 +--R 32a b +--R * +--R 2 +--R cot(x) +--R + +--R 7 2 18 +--R - 8192a b cos(x) +--R + +--R 6 3 7 2 8 16 +--R (- 32768a b + 21504a b - 1024a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 14 +--R (- 53248a b + 79872a b - 26880a b + 1280a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R (- 45056a b + 117824a b - 85184a b + 16704a b - 192a b) +--R * +--R 12 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R - 21088a b + 87616a b - 110048a b + 45664a b +--R + +--R 7 2 8 +--R - 3280a b - 144a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 5312a b + 34340a b - 69412a b + 52036a b - 8988a b +--R + +--R 7 2 +--R - 456a b +--R * +--R 8 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 632a b + 6704a b - 21408a b + 27880a b - 9752a b +--R + +--R 6 3 +--R - 520a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 24b + 532a b - 2820a b + 6564a b - 4708a b +--R + +--R 5 4 +--R - 248a b +--R * +--R 4 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 2 2 7 +--R (8b - 104a b + 480a b - 888a b - 40a b )cos(x) - 32a b +--R * +--R 2 +--R sin(x) +--R + +--R 7 2 20 6 3 7 2 8 18 +--R 4096a b cos(x) + (18432a b - 12288a b + 1024a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 16 +--R (33792a b - 53248a b + 18944a b - 2304a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R (32256a b - 92928a b + 68160a b - 18048a b + 1728a b) +--R * +--R 14 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R 16944a b - 82944a b + 106944a b - 49632a b + 9360a b +--R + +--R 8 +--R - 432a b +--R * +--R 12 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R 4728a b - 39536a b + 86260a b - 65952a b + 20172a b +--R + +--R 7 2 +--R - 1944a b +--R * +--R 10 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 608a b - 9456a b + 36204a b - 45964a b + 22020a b +--R + +--R 6 3 +--R - 3492a b +--R * +--R 8 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 24b - 912a b + 7100a b - 16260a b + 12684a b +--R + +--R 5 4 +--R - 3148a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 4 +--R (- 16b + 452a b - 2436a b + 3564a b - 1452a b )cos(x) +--R + +--R 8 2 7 3 6 2 2 7 +--R (- 76a b + 360a b - 300a b )cos(x) - 16a b +--R * +--R 2 2 +--R cot(x) sec(x) +--R + +--R 8 20 7 2 8 9 18 +--R 4096a b cos(x) + (18432a b - 12288a b + 1024a )cos(x) +--R + +--R 6 3 7 2 8 9 16 +--R (33792a b - 53248a b + 18944a b - 2304a )cos(x) +--R + +--R 5 4 6 3 7 2 8 9 +--R (32256a b - 92928a b + 68160a b - 18048a b + 1728a ) +--R * +--R 14 +--R cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R 16944a b - 82944a b + 106944a b - 49632a b + 9360a b +--R + +--R 9 +--R - 432a +--R * +--R 12 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R 4728a b - 39536a b + 86260a b - 65952a b + 20172a b +--R + +--R 8 +--R - 1944a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R 608a b - 9456a b + 36204a b - 45964a b + 22020a b +--R + +--R 7 2 +--R - 3492a b +--R * +--R 8 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 24a b - 912a b + 7100a b - 16260a b + 12684a b +--R + +--R 6 3 +--R - 3148a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 4 +--R (- 16a b + 452a b - 2436a b + 3564a b - 1452a b )cos(x) +--R + +--R 2 7 3 6 4 5 2 3 6 +--R (- 76a b + 360a b - 300a b )cos(x) - 16a b +--R * +--R 2 +--R cot(x) +--R + +--R 7 2 20 6 3 7 2 8 18 +--R - 4096a b cos(x) + (- 18432a b + 12288a b - 1024a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 16 +--R (- 33792a b + 53248a b - 18944a b + 2304a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R (- 32256a b + 92928a b - 68160a b + 18048a b - 1728a b) +--R * +--R 14 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R - 16944a b + 82944a b - 106944a b + 49632a b - 9360a b +--R + +--R 8 +--R 432a b +--R * +--R 12 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 4728a b + 39536a b - 86260a b + 65952a b - 20172a b +--R + +--R 7 2 +--R 1944a b +--R * +--R 10 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 608a b + 9456a b - 36204a b + 45964a b - 22020a b +--R + +--R 6 3 +--R 3492a b +--R * +--R 8 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 24b + 912a b - 7100a b + 16260a b - 12684a b +--R + +--R 5 4 +--R 3148a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 4 +--R (16b - 452a b + 2436a b - 3564a b + 1452a b )cos(x) +--R + +--R 8 2 7 3 6 2 2 7 +--R (76a b - 360a b + 300a b )cos(x) + 16a b +--R * +--R +-+ +--R \|a +--R * +--R +-------------+ +--R | 2 +--R \|b sec(x) + a +--R + +--R 6 3 16 6 3 15 +--R 2048a b cos(x) + 2048a b cos(x) +--R + +--R 5 4 6 3 14 5 4 6 3 13 +--R (7168a b - 4096a b )cos(x) + (7168a b - 4096a b )cos(x) +--R + +--R 4 5 5 4 6 3 12 +--R (9728a b - 13312a b + 2816a b )cos(x) +--R + +--R 4 5 5 4 6 3 11 +--R (9728a b - 13312a b + 2816a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 10 +--R (6400a b - 16384a b + 8320a b - 768a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 9 +--R (6400a b - 16384a b + 8320a b - 768a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 8 +--R (2072a b - 9408a b + 8992a b - 1984a b + 72a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 +--R (2072a b - 9408a b + 8992a b - 1984a b + 72a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 +--R (292a b - 2480a b + 4272a b - 1760a b + 156a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 5 +--R (292a b - 2480a b + 4272a b - 1760a b + 156a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 5 4 +--R (12b - 244a b + 828a b - 604a b + 104a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 5 3 +--R (12b - 244a b + 828a b - 604a b + 104a b )cos(x) +--R + +--R 9 8 2 7 3 6 2 +--R (- 4b + 44a b - 60a b + 20a b )cos(x) +--R + +--R 9 8 2 7 3 6 +--R (- 4b + 44a b - 60a b + 20a b )cos(x) +--R * +--R 2 4 +--R cot(x)sec(x) sin(x) +--R + +--R 6 3 7 2 18 6 3 7 2 17 +--R (2048a b - 2048a b )cos(x) + (2048a b - 2048a b )cos(x) +--R + +--R 5 4 6 3 7 2 16 +--R (7168a b - 15360a b + 4096a b )cos(x) +--R + +--R 5 4 6 3 7 2 15 +--R (7168a b - 15360a b + 4096a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 14 +--R (9728a b - 37376a b + 24320a b - 2816a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 13 +--R (9728a b - 37376a b + 24320a b - 2816a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R (6400a b - 42112a b + 51584a b - 14592a b + 768a b ) +--R * +--R 12 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R (6400a b - 42112a b + 51584a b - 14592a b + 768a b ) +--R * +--R 11 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R 2072a b - 23960a b + 51616a b - 27680a b + 3400a b +--R + +--R 7 2 +--R - 72a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R 2072a b - 23960a b + 51616a b - 27680a b + 3400a b +--R + +--R 7 2 +--R - 72a b +--R * +--R 9 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 292a b - 6644a b + 25664a b - 24568a b + 5580a b +--R + +--R 6 3 +--R - 228a b +--R * +--R 8 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 292a b - 6644a b + 25664a b - 24568a b + 5580a b +--R + +--R 6 3 +--R - 228a b +--R * +--R 7 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 12b - 752a b + 5868a b - 10412a b + 4200a b +--R + +--R 5 4 +--R - 260a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 12b - 752a b + 5868a b - 10412a b + 4200a b +--R + +--R 5 4 +--R - 260a b +--R * +--R 5 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 4 +--R (- 20b + 464a b - 1824a b + 1408a b - 124a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 5 3 +--R (- 20b + 464a b - 1824a b + 1408a b - 124a b )cos(x) +--R + +--R 9 8 2 7 3 6 2 +--R (4b - 76a b + 156a b - 20a b )cos(x) +--R + +--R 9 8 2 7 3 6 +--R (4b - 76a b + 156a b - 20a b )cos(x) +--R * +--R 2 2 +--R cot(x)sec(x) sin(x) +--R + +--R 7 2 20 7 2 19 +--R - 2048a b cos(x) - 2048a b cos(x) +--R + +--R 6 3 7 2 18 +--R (- 9216a b + 6144a b )cos(x) +--R + +--R 6 3 7 2 17 +--R (- 9216a b + 6144a b )cos(x) +--R + +--R 5 4 6 3 7 2 16 +--R (- 16896a b + 26624a b - 6912a b )cos(x) +--R + +--R 5 4 6 3 7 2 15 +--R (- 16896a b + 26624a b - 6912a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 14 +--R (- 16128a b + 46464a b - 28800a b + 3456a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 13 +--R (- 16128a b + 46464a b - 28800a b + 3456a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R (- 8472a b + 41472a b - 47712a b + 13824a b - 648a b ) +--R * +--R 12 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R (- 8472a b + 41472a b - 47712a b + 13824a b - 648a b ) +--R * +--R 11 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R (- 2364a b + 19768a b - 39600a b + 21672a b - 2484a b ) +--R * +--R 10 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R (- 2364a b + 19768a b - 39600a b + 21672a b - 2484a b ) +--R * +--R 9 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R (- 304a b + 4728a b - 16920a b + 16616a b - 3672a b ) +--R * +--R 8 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R (- 304a b + 4728a b - 16920a b + 16616a b - 3672a b ) +--R * +--R 7 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 6 +--R (- 12b + 456a b - 3360a b + 6264a b - 2580a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 5 5 +--R (- 12b + 456a b - 3360a b + 6264a b - 2580a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 +--R (8b - 216a b + 984a b - 840a b )cos(x) +--R + +--R 9 8 2 7 3 6 3 +--R (8b - 216a b + 984a b - 840a b )cos(x) +--R + +--R 8 2 7 2 8 2 7 +--R (32a b - 96a b )cos(x) + (32a b - 96a b )cos(x) +--R * +--R 2 +--R cot(x)sec(x) +--R * +--R tan(x) +--R + +--R 6 3 7 2 16 +--R (- 2048a b - 2048a b )cos(x) +--R + +--R 6 3 7 2 15 +--R (- 2048a b - 2048a b )cos(x) +--R + +--R 5 4 6 3 7 2 14 +--R (- 7168a b - 3072a b + 4096a b )cos(x) +--R + +--R 5 4 6 3 7 2 13 +--R (- 7168a b - 3072a b + 4096a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 12 +--R (- 9728a b + 3584a b + 10496a b - 2816a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 11 +--R (- 9728a b + 3584a b + 10496a b - 2816a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R (- 6400a b + 9984a b + 8064a b - 7552a b + 768a b ) +--R * +--R 10 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R (- 6400a b + 9984a b + 8064a b - 7552a b + 768a b ) +--R * +--R 9 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 2072a b + 7336a b + 416a b - 7008a b + 1912a b +--R + +--R 7 2 +--R - 72a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 2072a b + 7336a b + 416a b - 7008a b + 1912a b +--R + +--R 7 2 +--R - 72a b +--R * +--R 7 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 292a b + 2188a b - 1792a b - 2512a b + 1604a b +--R + +--R 6 3 +--R - 156a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 292a b + 2188a b - 1792a b - 2512a b + 1604a b +--R + +--R 6 3 +--R - 156a b +--R * +--R 5 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 12b + 232a b - 584a b - 224a b + 500a b +--R + +--R 5 4 +--R - 104a b +--R * +--R 4 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 12b + 232a b - 584a b - 224a b + 500a b +--R + +--R 5 4 +--R - 104a b +--R * +--R 3 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 2 +--R (4b - 40a b + 16a b + 40a b - 20a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R (4b - 40a b + 16a b + 40a b - 20a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 6 3 16 6 3 15 +--R - 2048a b cos(x) - 2048a b cos(x) +--R + +--R 5 4 6 3 14 +--R (- 7168a b + 4096a b )cos(x) +--R + +--R 5 4 6 3 13 +--R (- 7168a b + 4096a b )cos(x) +--R + +--R 4 5 5 4 6 3 12 +--R (- 9728a b + 13312a b - 2816a b )cos(x) +--R + +--R 4 5 5 4 6 3 11 +--R (- 9728a b + 13312a b - 2816a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 10 +--R (- 6400a b + 16384a b - 8320a b + 768a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 9 +--R (- 6400a b + 16384a b - 8320a b + 768a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 8 +--R (- 2072a b + 9408a b - 8992a b + 1984a b - 72a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 7 +--R (- 2072a b + 9408a b - 8992a b + 1984a b - 72a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 +--R (- 292a b + 2480a b - 4272a b + 1760a b - 156a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 5 +--R (- 292a b + 2480a b - 4272a b + 1760a b - 156a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 5 4 +--R (- 12b + 244a b - 828a b + 604a b - 104a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 5 3 +--R (- 12b + 244a b - 828a b + 604a b - 104a b )cos(x) +--R + +--R 9 8 2 7 3 6 2 +--R (4b - 44a b + 60a b - 20a b )cos(x) +--R + +--R 9 8 2 7 3 6 +--R (4b - 44a b + 60a b - 20a b )cos(x) +--R * +--R 2 +--R sec(x) +--R + +--R 7 2 8 16 +--R (- 2048a b - 2048a b)cos(x) +--R + +--R 7 2 8 15 +--R (- 2048a b - 2048a b)cos(x) +--R + +--R 6 3 7 2 8 14 +--R (- 7168a b - 3072a b + 4096a b)cos(x) +--R + +--R 6 3 7 2 8 13 +--R (- 7168a b - 3072a b + 4096a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 12 +--R (- 9728a b + 3584a b + 10496a b - 2816a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 11 +--R (- 9728a b + 3584a b + 10496a b - 2816a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R (- 6400a b + 9984a b + 8064a b - 7552a b + 768a b) +--R * +--R 10 +--R cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 9 +--R (- 6400a b + 9984a b + 8064a b - 7552a b + 768a b)cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R - 2072a b + 7336a b + 416a b - 7008a b + 1912a b +--R + +--R 8 +--R - 72a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R - 2072a b + 7336a b + 416a b - 7008a b + 1912a b +--R + +--R 8 +--R - 72a b +--R * +--R 7 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 292a b + 2188a b - 1792a b - 2512a b + 1604a b +--R + +--R 7 2 +--R - 156a b +--R * +--R 6 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 292a b + 2188a b - 1792a b - 2512a b + 1604a b +--R + +--R 7 2 +--R - 156a b +--R * +--R 5 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 12a b + 232a b - 584a b - 224a b + 500a b +--R + +--R 6 3 +--R - 104a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 12a b + 232a b - 584a b - 224a b + 500a b +--R + +--R 6 3 +--R - 104a b +--R * +--R 3 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 2 +--R (4a b - 40a b + 16a b + 40a b - 20a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R (4a b - 40a b + 16a b + 40a b - 20a b )cos(x) +--R * +--R 2 +--R cot(x) +--R * +--R 4 +--R sin(x) +--R + +--R 6 3 8 18 +--R (- 2048a b + 2048a b)cos(x) +--R + +--R 6 3 8 17 +--R (- 2048a b + 2048a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 16 +--R (- 7168a b + 8192a b + 11264a b - 4096a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 15 +--R (- 7168a b + 8192a b + 11264a b - 4096a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 +--R - 9728a b + 27648a b + 13056a b - 21504a b +--R + +--R 8 +--R 2816a b +--R * +--R 14 +--R cos(x) +--R + +--R 4 5 5 4 6 3 7 2 +--R - 9728a b + 27648a b + 13056a b - 21504a b +--R + +--R 8 +--R 2816a b +--R * +--R 13 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R - 6400a b + 35712a b - 9472a b - 36992a b +--R + +--R 7 2 8 +--R 13824a b - 768a b +--R * +--R 12 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R - 6400a b + 35712a b - 9472a b - 36992a b +--R + +--R 7 2 8 +--R 13824a b - 768a b +--R * +--R 11 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 +--R - 2072a b + 21888a b - 27656a b - 23936a b +--R + +--R 6 3 7 2 8 +--R 24280a b - 3328a b + 72a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 +--R - 2072a b + 21888a b - 27656a b - 23936a b +--R + +--R 6 3 7 2 8 +--R 24280a b - 3328a b + 72a b +--R * +--R 9 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R - 292a b + 6352a b - 19020a b - 1096a b +--R + +--R 5 4 6 3 7 2 +--R 18988a b - 5352a b + 228a b +--R * +--R 8 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 +--R - 292a b + 6352a b - 19020a b - 1096a b +--R + +--R 5 4 6 3 7 2 +--R 18988a b - 5352a b + 228a b +--R * +--R 7 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 12b + 740a b - 5116a b + 4544a b + 6212a b +--R + +--R 5 4 6 3 +--R - 3940a b + 260a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 12b + 740a b - 5116a b + 4544a b + 6212a b +--R + +--R 5 4 6 3 +--R - 3940a b + 260a b +--R * +--R 5 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 20b - 444a b + 1360a b + 416a b - 1284a b +--R + +--R 5 4 +--R 124a b +--R * +--R 4 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 20b - 444a b + 1360a b + 416a b - 1284a b +--R + +--R 5 4 +--R 124a b +--R * +--R 3 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 2 +--R (- 4b + 72a b - 80a b - 136a b + 20a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R (- 4b + 72a b - 80a b - 136a b + 20a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 6 3 7 2 18 +--R (- 2048a b + 2048a b )cos(x) +--R + +--R 6 3 7 2 17 +--R (- 2048a b + 2048a b )cos(x) +--R + +--R 5 4 6 3 7 2 16 +--R (- 7168a b + 15360a b - 4096a b )cos(x) +--R + +--R 5 4 6 3 7 2 15 +--R (- 7168a b + 15360a b - 4096a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 14 +--R (- 9728a b + 37376a b - 24320a b + 2816a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 13 +--R (- 9728a b + 37376a b - 24320a b + 2816a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R (- 6400a b + 42112a b - 51584a b + 14592a b - 768a b ) +--R * +--R 12 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R (- 6400a b + 42112a b - 51584a b + 14592a b - 768a b ) +--R * +--R 11 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 2072a b + 23960a b - 51616a b + 27680a b - 3400a b +--R + +--R 7 2 +--R 72a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 2072a b + 23960a b - 51616a b + 27680a b - 3400a b +--R + +--R 7 2 +--R 72a b +--R * +--R 9 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 292a b + 6644a b - 25664a b + 24568a b - 5580a b +--R + +--R 6 3 +--R 228a b +--R * +--R 8 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 292a b + 6644a b - 25664a b + 24568a b - 5580a b +--R + +--R 6 3 +--R 228a b +--R * +--R 7 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 12b + 752a b - 5868a b + 10412a b - 4200a b +--R + +--R 5 4 +--R 260a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R - 12b + 752a b - 5868a b + 10412a b - 4200a b +--R + +--R 5 4 +--R 260a b +--R * +--R 5 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 4 +--R (20b - 464a b + 1824a b - 1408a b + 124a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 5 3 +--R (20b - 464a b + 1824a b - 1408a b + 124a b )cos(x) +--R + +--R 9 8 2 7 3 6 2 +--R (- 4b + 76a b - 156a b + 20a b )cos(x) +--R + +--R 9 8 2 7 3 6 +--R (- 4b + 76a b - 156a b + 20a b )cos(x) +--R * +--R 2 +--R sec(x) +--R + +--R 7 2 9 18 7 2 9 17 +--R (- 2048a b + 2048a )cos(x) + (- 2048a b + 2048a )cos(x) +--R + +--R 6 3 7 2 8 9 16 +--R (- 7168a b + 8192a b + 11264a b - 4096a )cos(x) +--R + +--R 6 3 7 2 8 9 15 +--R (- 7168a b + 8192a b + 11264a b - 4096a )cos(x) +--R + +--R 5 4 6 3 7 2 8 9 +--R (- 9728a b + 27648a b + 13056a b - 21504a b + 2816a ) +--R * +--R 14 +--R cos(x) +--R + +--R 5 4 6 3 7 2 8 9 +--R (- 9728a b + 27648a b + 13056a b - 21504a b + 2816a ) +--R * +--R 13 +--R cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R - 6400a b + 35712a b - 9472a b - 36992a b + 13824a b +--R + +--R 9 +--R - 768a +--R * +--R 12 +--R cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R - 6400a b + 35712a b - 9472a b - 36992a b + 13824a b +--R + +--R 9 +--R - 768a +--R * +--R 11 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R - 2072a b + 21888a b - 27656a b - 23936a b +--R + +--R 7 2 8 9 +--R 24280a b - 3328a b + 72a +--R * +--R 10 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 +--R - 2072a b + 21888a b - 27656a b - 23936a b +--R + +--R 7 2 8 9 +--R 24280a b - 3328a b + 72a +--R * +--R 9 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 292a b + 6352a b - 19020a b - 1096a b + 18988a b +--R + +--R 7 2 8 +--R - 5352a b + 228a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 292a b + 6352a b - 19020a b - 1096a b + 18988a b +--R + +--R 7 2 8 +--R - 5352a b + 228a b +--R * +--R 7 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 12a b + 740a b - 5116a b + 4544a b + 6212a b +--R + +--R 6 3 7 2 +--R - 3940a b + 260a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 12a b + 740a b - 5116a b + 4544a b + 6212a b +--R + +--R 6 3 7 2 +--R - 3940a b + 260a b +--R * +--R 5 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 20a b - 444a b + 1360a b + 416a b - 1284a b +--R + +--R 6 3 +--R 124a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 20a b - 444a b + 1360a b + 416a b - 1284a b +--R + +--R 6 3 +--R 124a b +--R * +--R 3 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 2 +--R (- 4a b + 72a b - 80a b - 136a b + 20a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R (- 4a b + 72a b - 80a b - 136a b + 20a b )cos(x) +--R * +--R 2 +--R cot(x) +--R * +--R 2 +--R sin(x) +--R + +--R 7 2 8 20 7 2 8 19 +--R (2048a b + 2048a b)cos(x) + (2048a b + 2048a b)cos(x) +--R + +--R 6 3 7 2 8 18 +--R (9216a b + 3072a b - 6144a b)cos(x) +--R + +--R 6 3 7 2 8 17 +--R (9216a b + 3072a b - 6144a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 16 +--R (16896a b - 9728a b - 19712a b + 6912a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 15 +--R (16896a b - 9728a b - 19712a b + 6912a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R (16128a b - 30336a b - 17664a b + 25344a b - 3456a b) +--R * +--R 14 +--R cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R (16128a b - 30336a b - 17664a b + 25344a b - 3456a b) +--R * +--R 13 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R 8472a b - 33000a b + 6240a b + 33888a b - 13176a b +--R + +--R 8 +--R 648a b +--R * +--R 12 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R 8472a b - 33000a b + 6240a b + 33888a b - 13176a b +--R + +--R 8 +--R 648a b +--R * +--R 11 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R 2364a b - 17404a b + 19832a b + 17928a b - 19188a b +--R + +--R 7 2 +--R 2484a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R 2364a b - 17404a b + 19832a b + 17928a b - 19188a b +--R + +--R 7 2 +--R 2484a b +--R * +--R 9 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 304a b - 4424a b + 12192a b + 304a b - 12944a b +--R + +--R 6 3 +--R 3672a b +--R * +--R 8 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 304a b - 4424a b + 12192a b + 304a b - 12944a b +--R + +--R 6 3 +--R 3672a b +--R * +--R 7 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 12b - 444a b + 2904a b - 2904a b - 3684a b +--R + +--R 5 4 +--R 2580a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 +--R 12b - 444a b + 2904a b - 2904a b - 3684a b +--R + +--R 5 4 +--R 2580a b +--R * +--R 5 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 4 +--R (- 8b + 208a b - 768a b - 144a b + 840a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 5 3 +--R (- 8b + 208a b - 768a b - 144a b + 840a b )cos(x) +--R + +--R 8 2 7 3 6 2 +--R (- 32a b + 64a b + 96a b )cos(x) +--R + +--R 8 2 7 3 6 +--R (- 32a b + 64a b + 96a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 7 2 20 7 2 19 +--R 2048a b cos(x) + 2048a b cos(x) +--R + +--R 6 3 7 2 18 6 3 7 2 17 +--R (9216a b - 6144a b )cos(x) + (9216a b - 6144a b )cos(x) +--R + +--R 5 4 6 3 7 2 16 +--R (16896a b - 26624a b + 6912a b )cos(x) +--R + +--R 5 4 6 3 7 2 15 +--R (16896a b - 26624a b + 6912a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 14 +--R (16128a b - 46464a b + 28800a b - 3456a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 13 +--R (16128a b - 46464a b + 28800a b - 3456a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 12 +--R (8472a b - 41472a b + 47712a b - 13824a b + 648a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 11 +--R (8472a b - 41472a b + 47712a b - 13824a b + 648a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 10 +--R (2364a b - 19768a b + 39600a b - 21672a b + 2484a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 9 +--R (2364a b - 19768a b + 39600a b - 21672a b + 2484a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 8 +--R (304a b - 4728a b + 16920a b - 16616a b + 3672a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 7 +--R (304a b - 4728a b + 16920a b - 16616a b + 3672a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 5 6 +--R (12b - 456a b + 3360a b - 6264a b + 2580a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 5 5 +--R (12b - 456a b + 3360a b - 6264a b + 2580a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 +--R (- 8b + 216a b - 984a b + 840a b )cos(x) +--R + +--R 9 8 2 7 3 6 3 +--R (- 8b + 216a b - 984a b + 840a b )cos(x) +--R + +--R 8 2 7 2 8 2 7 +--R (- 32a b + 96a b )cos(x) + (- 32a b + 96a b )cos(x) +--R * +--R 2 +--R sec(x) +--R + +--R 8 9 20 8 9 19 +--R (2048a b + 2048a )cos(x) + (2048a b + 2048a )cos(x) +--R + +--R 7 2 8 9 18 +--R (9216a b + 3072a b - 6144a )cos(x) +--R + +--R 7 2 8 9 17 +--R (9216a b + 3072a b - 6144a )cos(x) +--R + +--R 6 3 7 2 8 9 16 +--R (16896a b - 9728a b - 19712a b + 6912a )cos(x) +--R + +--R 6 3 7 2 8 9 15 +--R (16896a b - 9728a b - 19712a b + 6912a )cos(x) +--R + +--R 5 4 6 3 7 2 8 9 14 +--R (16128a b - 30336a b - 17664a b + 25344a b - 3456a )cos(x) +--R + +--R 5 4 6 3 7 2 8 9 13 +--R (16128a b - 30336a b - 17664a b + 25344a b - 3456a )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R 8472a b - 33000a b + 6240a b + 33888a b - 13176a b +--R + +--R 9 +--R 648a +--R * +--R 12 +--R cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R 8472a b - 33000a b + 6240a b + 33888a b - 13176a b +--R + +--R 9 +--R 648a +--R * +--R 11 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R 2364a b - 17404a b + 19832a b + 17928a b - 19188a b +--R + +--R 8 +--R 2484a b +--R * +--R 10 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R 2364a b - 17404a b + 19832a b + 17928a b - 19188a b +--R + +--R 8 +--R 2484a b +--R * +--R 9 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R 304a b - 4424a b + 12192a b + 304a b - 12944a b +--R + +--R 7 2 +--R 3672a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R 304a b - 4424a b + 12192a b + 304a b - 12944a b +--R + +--R 7 2 +--R 3672a b +--R * +--R 7 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R (12a b - 444a b + 2904a b - 2904a b - 3684a b + 2580a b ) +--R * +--R 6 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 3 +--R (12a b - 444a b + 2904a b - 2904a b - 3684a b + 2580a b ) +--R * +--R 5 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 4 +--R (- 8a b + 208a b - 768a b - 144a b + 840a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 3 +--R (- 8a b + 208a b - 768a b - 144a b + 840a b )cos(x) +--R + +--R 2 7 3 6 4 5 2 +--R (- 32a b + 64a b + 96a b )cos(x) +--R + +--R 2 7 3 6 4 5 +--R (- 32a b + 64a b + 96a b )cos(x) +--R * +--R 2 +--R cot(x) +--R * +--R +---------------------+ +--R | 2 +--R +-+ | 4a cos(x) + 4b +--R \|a |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 7 3 16 6 4 7 3 14 +--R - 4096a b cos(x) + (- 16384a b + 8192a b )cos(x) +--R + +--R 5 5 6 4 7 3 12 +--R (- 26112a b + 30720a b - 5632a b )cos(x) +--R + +--R 4 6 5 5 6 4 7 3 10 +--R (- 20992a b + 45056a b - 19456a b + 1536a b )cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 +--R (- 8848a b + 32384a b - 25600a b + 4736a b - 144a b )cos(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 6 +--R (- 1824a b + 11616a b - 15808a b + 5312a b - 384a b )cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 4 +--R (- 146a b + 1848a b - 4500a b + 2568a b - 346a b )cos(x) +--R + +--R 10 9 2 8 3 7 4 6 2 9 +--R (- 2b + 88a b - 476a b + 472a b - 114a b )cos(x) - 8a b +--R + +--R 2 8 3 7 +--R 16a b - 8a b +--R * +--R 2 4 +--R cot(x)sec(x) sin(x) +--R + +--R 7 3 8 2 18 +--R (- 4096a b + 4096a b )cos(x) +--R + +--R 6 4 7 3 8 2 16 +--R (- 16384a b + 32768a b - 8192a b )cos(x) +--R + +--R 5 5 6 4 7 3 8 2 14 +--R (- 26112a b + 89600a b - 52736a b + 5632a b )cos(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R (- 20992a b + 118016a b - 126464a b + 32000a b - 1536a b ) +--R * +--R 12 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R - 8848a b + 82448a b - 149248a b + 69248a b - 7568a b +--R + +--R 8 2 +--R 144a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R - 1824a b + 30304a b - 92768a b + 73520a b - 14368a b +--R + +--R 7 3 +--R 528a b +--R * +--R 8 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 +--R - 146a b + 5258a b - 29268a b + 40076a b - 13226a b +--R + +--R 6 4 +--R 730a b +--R * +--R 6 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R (- 2b + 316a b - 3964a b + 10392a b - 5986a b + 460a b ) +--R * +--R 4 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 2 9 +--R (2b - 136a b + 964a b - 1144a b + 122a b )cos(x) + 8a b +--R + +--R 2 8 3 7 +--R - 48a b + 8a b +--R * +--R 2 2 +--R cot(x)sec(x) sin(x) +--R + +--R 8 2 20 7 3 8 2 18 +--R 4096a b cos(x) + (20480a b - 12288a b )cos(x) +--R + +--R 6 4 7 3 8 2 16 +--R (42496a b - 59392a b + 13824a b )cos(x) +--R + +--R 5 5 6 4 7 3 8 2 14 +--R (47104a b - 118016a b + 64512a b - 6912a b )cos(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R (29840a b - 123520a b + 122496a b - 31104a b + 1296a b ) +--R * +--R 12 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R (10672a b - 72240a b + 120576a b - 56304a b + 5616a b ) +--R * +--R 10 +--R cos(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 8 +--R (1970a b - 22920a b + 64572a b - 51880a b + 9666a b )cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 +--R (148a b - 3456a b + 17832a b - 25184a b + 8292a b )cos(x) +--R + +--R 10 9 2 8 3 7 4 6 4 +--R (2b - 168a b + 2076a b - 5896a b + 3602a b )cos(x) +--R + +--R 9 2 8 3 7 2 2 8 +--R (48a b - 480a b + 688a b )cos(x) + 32a b +--R * +--R 2 +--R cot(x)sec(x) +--R * +--R tan(x) +--R + +--R 7 3 8 2 16 +--R (4096a b + 4096a b )cos(x) +--R + +--R 6 4 7 3 8 2 14 +--R (16384a b + 8192a b - 8192a b )cos(x) +--R + +--R 5 5 6 4 7 3 8 2 12 +--R (26112a b - 4608a b - 25088a b + 5632a b )cos(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R (20992a b - 24064a b - 25600a b + 17920a b - 1536a b ) +--R * +--R 10 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R 8848a b - 23536a b - 6784a b + 20864a b - 4592a b +--R + +--R 8 2 +--R 144a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R 1824a b - 9792a b + 4192a b + 10496a b - 4928a b +--R + +--R 7 3 +--R 384a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 +--R 146a b - 1702a b + 2652a b + 1932a b - 2222a b +--R + +--R 6 4 +--R 346a b +--R * +--R 4 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 2 +--R (2b - 86a b + 388a b + 4a b - 358a b + 114a b )cos(x) +--R + +--R 9 2 8 3 7 4 6 +--R 8a b - 8a b - 8a b + 8a b +--R * +--R 2 +--R cot(x) +--R + +--R 7 3 16 6 4 7 3 14 +--R 4096a b cos(x) + (16384a b - 8192a b )cos(x) +--R + +--R 5 5 6 4 7 3 12 +--R (26112a b - 30720a b + 5632a b )cos(x) +--R + +--R 4 6 5 5 6 4 7 3 10 +--R (20992a b - 45056a b + 19456a b - 1536a b )cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 8 +--R (8848a b - 32384a b + 25600a b - 4736a b + 144a b )cos(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 6 +--R (1824a b - 11616a b + 15808a b - 5312a b + 384a b )cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 4 +--R (146a b - 1848a b + 4500a b - 2568a b + 346a b )cos(x) +--R + +--R 10 9 2 8 3 7 4 6 2 9 +--R (2b - 88a b + 476a b - 472a b + 114a b )cos(x) + 8a b +--R + +--R 2 8 3 7 +--R - 16a b + 8a b +--R * +--R 2 +--R sec(x) +--R + +--R 8 2 9 16 +--R (4096a b + 4096a b)cos(x) +--R + +--R 7 3 8 2 9 14 +--R (16384a b + 8192a b - 8192a b)cos(x) +--R + +--R 6 4 7 3 8 2 9 12 +--R (26112a b - 4608a b - 25088a b + 5632a b)cos(x) +--R + +--R 5 5 6 4 7 3 8 2 9 10 +--R (20992a b - 24064a b - 25600a b + 17920a b - 1536a b)cos(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R 8848a b - 23536a b - 6784a b + 20864a b - 4592a b +--R + +--R 9 +--R 144a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R 1824a b - 9792a b + 4192a b + 10496a b - 4928a b +--R + +--R 8 2 +--R 384a b +--R * +--R 6 +--R cos(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 7 3 +--R (146a b - 1702a b + 2652a b + 1932a b - 2222a b + 346a b ) +--R * +--R 4 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 2 +--R (2a b - 86a b + 388a b + 4a b - 358a b + 114a b )cos(x) +--R + +--R 2 8 3 7 4 6 5 5 +--R 8a b - 8a b - 8a b + 8a b +--R * +--R 2 +--R cot(x) +--R * +--R 4 +--R sin(x) +--R + +--R 7 3 9 18 +--R (4096a b - 4096a b)cos(x) +--R + +--R 6 4 7 3 8 2 9 16 +--R (16384a b - 16384a b - 24576a b + 8192a b)cos(x) +--R + +--R 5 5 6 4 7 3 8 2 9 +--R (26112a b - 63488a b - 36864a b + 47104a b - 5632a b) +--R * +--R 14 +--R cos(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R 20992a b - 97024a b + 8448a b + 94464a b - 30464a b +--R + +--R 9 +--R 1536a b +--R * +--R 12 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R 8848a b - 73600a b + 66800a b + 80000a b - 61680a b +--R + +--R 8 2 9 +--R 7424a b - 144a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R 1824a b - 28480a b + 62464a b + 19248a b - 59152a b +--R + +--R 7 3 8 2 +--R 13840a b - 528a b +--R * +--R 8 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 +--R 146a b - 5112a b + 24010a b - 10808a b - 26850a b +--R + +--R 6 4 7 3 +--R 12496a b - 730a b +--R * +--R 6 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 +--R 2b - 314a b + 3648a b - 6428a b - 4406a b +--R + +--R 5 5 6 4 +--R 5526a b - 460a b +--R * +--R 4 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R (- 2b + 134a b - 828a b + 180a b + 1022a b - 122a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 +--R - 8a b + 40a b + 40a b - 8a b +--R * +--R 2 +--R cot(x) +--R + +--R 7 3 8 2 18 +--R (4096a b - 4096a b )cos(x) +--R + +--R 6 4 7 3 8 2 16 +--R (16384a b - 32768a b + 8192a b )cos(x) +--R + +--R 5 5 6 4 7 3 8 2 14 +--R (26112a b - 89600a b + 52736a b - 5632a b )cos(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R (20992a b - 118016a b + 126464a b - 32000a b + 1536a b ) +--R * +--R 12 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R 8848a b - 82448a b + 149248a b - 69248a b + 7568a b +--R + +--R 8 2 +--R - 144a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R 1824a b - 30304a b + 92768a b - 73520a b + 14368a b +--R + +--R 7 3 +--R - 528a b +--R * +--R 8 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 +--R 146a b - 5258a b + 29268a b - 40076a b + 13226a b +--R + +--R 6 4 +--R - 730a b +--R * +--R 6 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R (2b - 316a b + 3964a b - 10392a b + 5986a b - 460a b ) +--R * +--R 4 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 2 9 +--R (- 2b + 136a b - 964a b + 1144a b - 122a b )cos(x) - 8a b +--R + +--R 2 8 3 7 +--R 48a b - 8a b +--R * +--R 2 +--R sec(x) +--R + +--R 8 2 10 18 +--R (4096a b - 4096a )cos(x) +--R + +--R 7 3 8 2 9 10 16 +--R (16384a b - 16384a b - 24576a b + 8192a )cos(x) +--R + +--R 6 4 7 3 8 2 9 10 14 +--R (26112a b - 63488a b - 36864a b + 47104a b - 5632a )cos(x) +--R + +--R 5 5 6 4 7 3 8 2 9 +--R 20992a b - 97024a b + 8448a b + 94464a b - 30464a b +--R + +--R 10 +--R 1536a +--R * +--R 12 +--R cos(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R 8848a b - 73600a b + 66800a b + 80000a b - 61680a b +--R + +--R 9 10 +--R 7424a b - 144a +--R * +--R 10 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R 1824a b - 28480a b + 62464a b + 19248a b - 59152a b +--R + +--R 8 2 9 +--R 13840a b - 528a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R 146a b - 5112a b + 24010a b - 10808a b - 26850a b +--R + +--R 7 3 8 2 +--R 12496a b - 730a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R 2a b - 314a b + 3648a b - 6428a b - 4406a b + 5526a b +--R + +--R 7 3 +--R - 460a b +--R * +--R 4 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R (- 2a b + 134a b - 828a b + 180a b + 1022a b - 122a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 2 8 3 7 4 6 5 5 +--R - 8a b + 40a b + 40a b - 8a b +--R * +--R 2 +--R cot(x) +--R * +--R 2 +--R sin(x) +--R + +--R 8 2 9 20 +--R (- 4096a b - 4096a b)cos(x) +--R + +--R 7 3 8 2 9 18 +--R (- 20480a b - 8192a b + 12288a b)cos(x) +--R + +--R 6 4 7 3 8 2 9 16 +--R (- 42496a b + 16896a b + 45568a b - 13824a b)cos(x) +--R + +--R 5 5 6 4 7 3 8 2 9 +--R (- 47104a b + 70912a b + 53504a b - 57600a b + 6912a b) +--R * +--R 14 +--R cos(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R - 29840a b + 93680a b + 1024a b - 91392a b + 29808a b +--R + +--R 9 +--R - 1296a b +--R * +--R 12 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R - 10672a b + 61568a b - 48336a b - 64272a b + 50688a b +--R + +--R 8 2 +--R - 5616a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R - 1970a b + 20950a b - 41652a b - 12692a b + 42214a b +--R + +--R 7 3 +--R - 9666a b +--R * +--R 8 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 +--R - 148a b + 3308a b - 14376a b + 7352a b + 16892a b +--R + +--R 6 4 +--R - 8292a b +--R * +--R 6 +--R cos(x) +--R + +--R 10 9 2 8 3 7 4 6 5 5 +--R (- 2b + 166a b - 1908a b + 3820a b + 2294a b - 3602a b ) +--R * +--R 4 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 2 2 8 3 7 +--R (- 48a b + 432a b - 208a b - 688a b )cos(x) - 32a b - 32a b +--R * +--R 2 +--R cot(x) +--R + +--R 8 2 20 7 3 8 2 18 +--R - 4096a b cos(x) + (- 20480a b + 12288a b )cos(x) +--R + +--R 6 4 7 3 8 2 16 +--R (- 42496a b + 59392a b - 13824a b )cos(x) +--R + +--R 5 5 6 4 7 3 8 2 14 +--R (- 47104a b + 118016a b - 64512a b + 6912a b )cos(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R (- 29840a b + 123520a b - 122496a b + 31104a b - 1296a b ) +--R * +--R 12 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 10 +--R (- 10672a b + 72240a b - 120576a b + 56304a b - 5616a b )cos(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 8 +--R (- 1970a b + 22920a b - 64572a b + 51880a b - 9666a b )cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 +--R (- 148a b + 3456a b - 17832a b + 25184a b - 8292a b )cos(x) +--R + +--R 10 9 2 8 3 7 4 6 4 +--R (- 2b + 168a b - 2076a b + 5896a b - 3602a b )cos(x) +--R + +--R 9 2 8 3 7 2 2 8 +--R (- 48a b + 480a b - 688a b )cos(x) - 32a b +--R * +--R 2 +--R sec(x) +--R + +--R 9 10 20 +--R (- 4096a b - 4096a )cos(x) +--R + +--R 8 2 9 10 18 +--R (- 20480a b - 8192a b + 12288a )cos(x) +--R + +--R 7 3 8 2 9 10 16 +--R (- 42496a b + 16896a b + 45568a b - 13824a )cos(x) +--R + +--R 6 4 7 3 8 2 9 10 14 +--R (- 47104a b + 70912a b + 53504a b - 57600a b + 6912a )cos(x) +--R + +--R 5 5 6 4 7 3 8 2 9 +--R - 29840a b + 93680a b + 1024a b - 91392a b + 29808a b +--R + +--R 10 +--R - 1296a +--R * +--R 12 +--R cos(x) +--R + +--R 4 6 5 5 6 4 7 3 8 2 +--R - 10672a b + 61568a b - 48336a b - 64272a b + 50688a b +--R + +--R 9 +--R - 5616a b +--R * +--R 10 +--R cos(x) +--R + +--R 3 7 4 6 5 5 6 4 7 3 +--R - 1970a b + 20950a b - 41652a b - 12692a b + 42214a b +--R + +--R 8 2 +--R - 9666a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 8 3 7 4 6 5 5 6 4 +--R - 148a b + 3308a b - 14376a b + 7352a b + 16892a b +--R + +--R 7 3 +--R - 8292a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 2 8 3 7 4 6 5 5 6 4 +--R (- 2a b + 166a b - 1908a b + 3820a b + 2294a b - 3602a b ) +--R * +--R 4 +--R cos(x) +--R + +--R 2 8 3 7 4 6 5 5 2 3 7 4 6 +--R (- 48a b + 432a b - 208a b - 688a b )cos(x) - 32a b - 32a b +--R * +--R 2 +--R cot(x) +--R / +--R 6 2 16 6 2 15 +--R 2048a b cos(x) + 2048a b cos(x) +--R + +--R 5 3 6 2 14 +--R (7168a b - 4096a b )cos(x) +--R + +--R 5 3 6 2 13 +--R (7168a b - 4096a b )cos(x) +--R + +--R 4 4 5 3 6 2 12 +--R (9728a b - 13312a b + 2816a b )cos(x) +--R + +--R 4 4 5 3 6 2 11 +--R (9728a b - 13312a b + 2816a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 10 +--R (6400a b - 16384a b + 8320a b - 768a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 9 +--R (6400a b - 16384a b + 8320a b - 768a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 8 +--R (2072a b - 9408a b + 8992a b - 1984a b + 72a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R (2072a b - 9408a b + 8992a b - 1984a b + 72a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 +--R (292a b - 2480a b + 4272a b - 1760a b + 156a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 5 +--R (292a b - 2480a b + 4272a b - 1760a b + 156a b )cos(x) +--R + +--R 8 7 2 6 3 5 4 4 4 +--R (12b - 244a b + 828a b - 604a b + 104a b )cos(x) +--R + +--R 8 7 2 6 3 5 4 4 3 +--R (12b - 244a b + 828a b - 604a b + 104a b )cos(x) +--R + +--R 8 7 2 6 3 5 2 +--R (- 4b + 44a b - 60a b + 20a b )cos(x) +--R + +--R 8 7 2 6 3 5 +--R (- 4b + 44a b - 60a b + 20a b )cos(x) +--R * +--R 2 2 +--R cot(x) sec(x) +--R + +--R 7 16 7 15 +--R 2048a b cos(x) + 2048a b cos(x) +--R + +--R 6 2 7 14 6 2 7 13 +--R (7168a b - 4096a b)cos(x) + (7168a b - 4096a b)cos(x) +--R + +--R 5 3 6 2 7 12 +--R (9728a b - 13312a b + 2816a b)cos(x) +--R + +--R 5 3 6 2 7 11 +--R (9728a b - 13312a b + 2816a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 10 +--R (6400a b - 16384a b + 8320a b - 768a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 9 +--R (6400a b - 16384a b + 8320a b - 768a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 +--R (2072a b - 9408a b + 8992a b - 1984a b + 72a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 7 +--R (2072a b - 9408a b + 8992a b - 1984a b + 72a b)cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 6 +--R (292a b - 2480a b + 4272a b - 1760a b + 156a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 5 +--R (292a b - 2480a b + 4272a b - 1760a b + 156a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 4 +--R (12a b - 244a b + 828a b - 604a b + 104a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 3 +--R (12a b - 244a b + 828a b - 604a b + 104a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 2 +--R (- 4a b + 44a b - 60a b + 20a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R (- 4a b + 44a b - 60a b + 20a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 6 2 16 6 2 15 +--R - 2048a b cos(x) - 2048a b cos(x) +--R + +--R 5 3 6 2 14 +--R (- 7168a b + 4096a b )cos(x) +--R + +--R 5 3 6 2 13 +--R (- 7168a b + 4096a b )cos(x) +--R + +--R 4 4 5 3 6 2 12 +--R (- 9728a b + 13312a b - 2816a b )cos(x) +--R + +--R 4 4 5 3 6 2 11 +--R (- 9728a b + 13312a b - 2816a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 10 +--R (- 6400a b + 16384a b - 8320a b + 768a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 9 +--R (- 6400a b + 16384a b - 8320a b + 768a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 8 +--R (- 2072a b + 9408a b - 8992a b + 1984a b - 72a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R (- 2072a b + 9408a b - 8992a b + 1984a b - 72a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 +--R (- 292a b + 2480a b - 4272a b + 1760a b - 156a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 5 +--R (- 292a b + 2480a b - 4272a b + 1760a b - 156a b )cos(x) +--R + +--R 8 7 2 6 3 5 4 4 4 +--R (- 12b + 244a b - 828a b + 604a b - 104a b )cos(x) +--R + +--R 8 7 2 6 3 5 4 4 3 +--R (- 12b + 244a b - 828a b + 604a b - 104a b )cos(x) +--R + +--R 8 7 2 6 3 5 2 +--R (4b - 44a b + 60a b - 20a b )cos(x) +--R + +--R 8 7 2 6 3 5 +--R (4b - 44a b + 60a b - 20a b )cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 6 2 7 18 6 2 7 17 +--R (2048a b - 2048a b)cos(x) + (2048a b - 2048a b)cos(x) +--R + +--R 5 3 6 2 7 16 +--R (7168a b - 15360a b + 4096a b)cos(x) +--R + +--R 5 3 6 2 7 15 +--R (7168a b - 15360a b + 4096a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 14 +--R (9728a b - 37376a b + 24320a b - 2816a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 13 +--R (9728a b - 37376a b + 24320a b - 2816a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (6400a b - 42112a b + 51584a b - 14592a b + 768a b) +--R * +--R 12 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (6400a b - 42112a b + 51584a b - 14592a b + 768a b) +--R * +--R 11 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 2072a b - 23960a b + 51616a b - 27680a b + 3400a b +--R + +--R 7 +--R - 72a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 2072a b - 23960a b + 51616a b - 27680a b + 3400a b +--R + +--R 7 +--R - 72a b +--R * +--R 9 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 292a b - 6644a b + 25664a b - 24568a b + 5580a b +--R + +--R 6 2 +--R - 228a b +--R * +--R 8 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 292a b - 6644a b + 25664a b - 24568a b + 5580a b +--R + +--R 6 2 +--R - 228a b +--R * +--R 7 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 12b - 752a b + 5868a b - 10412a b + 4200a b +--R + +--R 5 3 +--R - 260a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 12b - 752a b + 5868a b - 10412a b + 4200a b +--R + +--R 5 3 +--R - 260a b +--R * +--R 5 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 4 +--R (- 20b + 464a b - 1824a b + 1408a b - 124a b )cos(x) +--R + +--R 8 7 2 6 3 5 4 4 3 +--R (- 20b + 464a b - 1824a b + 1408a b - 124a b )cos(x) +--R + +--R 8 7 2 6 3 5 2 +--R (4b - 76a b + 156a b - 20a b )cos(x) +--R + +--R 8 7 2 6 3 5 +--R (4b - 76a b + 156a b - 20a b )cos(x) +--R * +--R 2 2 +--R cot(x) sec(x) +--R + +--R 7 8 18 7 8 17 +--R (2048a b - 2048a )cos(x) + (2048a b - 2048a )cos(x) +--R + +--R 6 2 7 8 16 +--R (7168a b - 15360a b + 4096a )cos(x) +--R + +--R 6 2 7 8 15 +--R (7168a b - 15360a b + 4096a )cos(x) +--R + +--R 5 3 6 2 7 8 14 +--R (9728a b - 37376a b + 24320a b - 2816a )cos(x) +--R + +--R 5 3 6 2 7 8 13 +--R (9728a b - 37376a b + 24320a b - 2816a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 +--R (6400a b - 42112a b + 51584a b - 14592a b + 768a ) +--R * +--R 12 +--R cos(x) +--R + +--R 4 4 5 3 6 2 7 8 +--R (6400a b - 42112a b + 51584a b - 14592a b + 768a ) +--R * +--R 11 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R 2072a b - 23960a b + 51616a b - 27680a b + 3400a b +--R + +--R 8 +--R - 72a +--R * +--R 10 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R 2072a b - 23960a b + 51616a b - 27680a b + 3400a b +--R + +--R 8 +--R - 72a +--R * +--R 9 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 292a b - 6644a b + 25664a b - 24568a b + 5580a b +--R + +--R 7 +--R - 228a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 292a b - 6644a b + 25664a b - 24568a b + 5580a b +--R + +--R 7 +--R - 228a b +--R * +--R 7 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 12a b - 752a b + 5868a b - 10412a b + 4200a b +--R + +--R 6 2 +--R - 260a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 12a b - 752a b + 5868a b - 10412a b + 4200a b +--R + +--R 6 2 +--R - 260a b +--R * +--R 5 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 4 +--R (- 20a b + 464a b - 1824a b + 1408a b - 124a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 3 +--R (- 20a b + 464a b - 1824a b + 1408a b - 124a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 2 +--R (4a b - 76a b + 156a b - 20a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R (4a b - 76a b + 156a b - 20a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 6 2 7 18 6 2 7 17 +--R (- 2048a b + 2048a b)cos(x) + (- 2048a b + 2048a b)cos(x) +--R + +--R 5 3 6 2 7 16 +--R (- 7168a b + 15360a b - 4096a b)cos(x) +--R + +--R 5 3 6 2 7 15 +--R (- 7168a b + 15360a b - 4096a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 14 +--R (- 9728a b + 37376a b - 24320a b + 2816a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 13 +--R (- 9728a b + 37376a b - 24320a b + 2816a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 6400a b + 42112a b - 51584a b + 14592a b - 768a b) +--R * +--R 12 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 6400a b + 42112a b - 51584a b + 14592a b - 768a b) +--R * +--R 11 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 2072a b + 23960a b - 51616a b + 27680a b - 3400a b +--R + +--R 7 +--R 72a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 2072a b + 23960a b - 51616a b + 27680a b - 3400a b +--R + +--R 7 +--R 72a b +--R * +--R 9 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 292a b + 6644a b - 25664a b + 24568a b - 5580a b +--R + +--R 6 2 +--R 228a b +--R * +--R 8 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 292a b + 6644a b - 25664a b + 24568a b - 5580a b +--R + +--R 6 2 +--R 228a b +--R * +--R 7 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 12b + 752a b - 5868a b + 10412a b - 4200a b +--R + +--R 5 3 +--R 260a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 12b + 752a b - 5868a b + 10412a b - 4200a b +--R + +--R 5 3 +--R 260a b +--R * +--R 5 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 4 +--R (20b - 464a b + 1824a b - 1408a b + 124a b )cos(x) +--R + +--R 8 7 2 6 3 5 4 4 3 +--R (20b - 464a b + 1824a b - 1408a b + 124a b )cos(x) +--R + +--R 8 7 2 6 3 5 2 +--R (- 4b + 76a b - 156a b + 20a b )cos(x) +--R + +--R 8 7 2 6 3 5 +--R (- 4b + 76a b - 156a b + 20a b )cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 7 20 7 19 +--R - 2048a b cos(x) - 2048a b cos(x) +--R + +--R 6 2 7 18 6 2 7 17 +--R (- 9216a b + 6144a b)cos(x) + (- 9216a b + 6144a b)cos(x) +--R + +--R 5 3 6 2 7 16 +--R (- 16896a b + 26624a b - 6912a b)cos(x) +--R + +--R 5 3 6 2 7 15 +--R (- 16896a b + 26624a b - 6912a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 14 +--R (- 16128a b + 46464a b - 28800a b + 3456a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 13 +--R (- 16128a b + 46464a b - 28800a b + 3456a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 8472a b + 41472a b - 47712a b + 13824a b - 648a b) +--R * +--R 12 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 8472a b + 41472a b - 47712a b + 13824a b - 648a b) +--R * +--R 11 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R (- 2364a b + 19768a b - 39600a b + 21672a b - 2484a b ) +--R * +--R 10 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R (- 2364a b + 19768a b - 39600a b + 21672a b - 2484a b ) +--R * +--R 9 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R (- 304a b + 4728a b - 16920a b + 16616a b - 3672a b ) +--R * +--R 8 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R (- 304a b + 4728a b - 16920a b + 16616a b - 3672a b ) +--R * +--R 7 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 6 +--R (- 12b + 456a b - 3360a b + 6264a b - 2580a b )cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 +--R (- 12b + 456a b - 3360a b + 6264a b - 2580a b )cos(x) +--R + +--R 8 7 2 6 3 5 4 +--R (8b - 216a b + 984a b - 840a b )cos(x) +--R + +--R 8 7 2 6 3 5 3 +--R (8b - 216a b + 984a b - 840a b )cos(x) +--R + +--R 7 2 6 2 7 2 6 +--R (32a b - 96a b )cos(x) + (32a b - 96a b )cos(x) +--R * +--R 2 2 +--R cot(x) sec(x) +--R + +--R 8 20 8 19 +--R - 2048a cos(x) - 2048a cos(x) +--R + +--R 7 8 18 7 8 17 +--R (- 9216a b + 6144a )cos(x) + (- 9216a b + 6144a )cos(x) +--R + +--R 6 2 7 8 16 +--R (- 16896a b + 26624a b - 6912a )cos(x) +--R + +--R 6 2 7 8 15 +--R (- 16896a b + 26624a b - 6912a )cos(x) +--R + +--R 5 3 6 2 7 8 14 +--R (- 16128a b + 46464a b - 28800a b + 3456a )cos(x) +--R + +--R 5 3 6 2 7 8 13 +--R (- 16128a b + 46464a b - 28800a b + 3456a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 12 +--R (- 8472a b + 41472a b - 47712a b + 13824a b - 648a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 11 +--R (- 8472a b + 41472a b - 47712a b + 13824a b - 648a )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 2364a b + 19768a b - 39600a b + 21672a b - 2484a b) +--R * +--R 10 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 2364a b + 19768a b - 39600a b + 21672a b - 2484a b) +--R * +--R 9 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R (- 304a b + 4728a b - 16920a b + 16616a b - 3672a b ) +--R * +--R 8 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R (- 304a b + 4728a b - 16920a b + 16616a b - 3672a b ) +--R * +--R 7 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 +--R (- 12a b + 456a b - 3360a b + 6264a b - 2580a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 5 +--R (- 12a b + 456a b - 3360a b + 6264a b - 2580a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 4 +--R (8a b - 216a b + 984a b - 840a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 3 +--R (8a b - 216a b + 984a b - 840a b )cos(x) +--R + +--R 2 6 3 5 2 2 6 3 5 +--R (32a b - 96a b )cos(x) + (32a b - 96a b )cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R 7 20 7 19 6 2 7 18 +--R 2048a b cos(x) + 2048a b cos(x) + (9216a b - 6144a b)cos(x) +--R + +--R 6 2 7 17 +--R (9216a b - 6144a b)cos(x) +--R + +--R 5 3 6 2 7 16 +--R (16896a b - 26624a b + 6912a b)cos(x) +--R + +--R 5 3 6 2 7 15 +--R (16896a b - 26624a b + 6912a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 14 +--R (16128a b - 46464a b + 28800a b - 3456a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 13 +--R (16128a b - 46464a b + 28800a b - 3456a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 12 +--R (8472a b - 41472a b + 47712a b - 13824a b + 648a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 11 +--R (8472a b - 41472a b + 47712a b - 13824a b + 648a b)cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 10 +--R (2364a b - 19768a b + 39600a b - 21672a b + 2484a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 9 +--R (2364a b - 19768a b + 39600a b - 21672a b + 2484a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 8 +--R (304a b - 4728a b + 16920a b - 16616a b + 3672a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 7 +--R (304a b - 4728a b + 16920a b - 16616a b + 3672a b )cos(x) +--R + +--R 8 7 2 6 3 5 4 4 6 +--R (12b - 456a b + 3360a b - 6264a b + 2580a b )cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 +--R (12b - 456a b + 3360a b - 6264a b + 2580a b )cos(x) +--R + +--R 8 7 2 6 3 5 4 +--R (- 8b + 216a b - 984a b + 840a b )cos(x) +--R + +--R 8 7 2 6 3 5 3 +--R (- 8b + 216a b - 984a b + 840a b )cos(x) +--R + +--R 7 2 6 2 7 2 6 +--R (- 32a b + 96a b )cos(x) + (- 32a b + 96a b )cos(x) +--R * +--R +---------------------+ +--R | 2 +--R +-+ | 4a cos(x) + 4b +--R \|a |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 7 2 16 6 3 7 2 14 +--R - 4096a b cos(x) + (- 16384a b + 8192a b )cos(x) +--R + +--R 5 4 6 3 7 2 12 +--R (- 26112a b + 30720a b - 5632a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 10 +--R (- 20992a b + 45056a b - 19456a b + 1536a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R (- 8848a b + 32384a b - 25600a b + 4736a b - 144a b ) +--R * +--R 8 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R (- 1824a b + 11616a b - 15808a b + 5312a b - 384a b ) +--R * +--R 6 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 4 +--R (- 146a b + 1848a b - 4500a b + 2568a b - 346a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 5 2 8 +--R (- 2b + 88a b - 476a b + 472a b - 114a b )cos(x) - 8a b +--R + +--R 2 7 3 6 +--R 16a b - 8a b +--R * +--R 2 2 +--R cot(x) sec(x) +--R + +--R 8 16 7 2 8 14 +--R - 4096a b cos(x) + (- 16384a b + 8192a b)cos(x) +--R + +--R 6 3 7 2 8 12 +--R (- 26112a b + 30720a b - 5632a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 10 +--R (- 20992a b + 45056a b - 19456a b + 1536a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 8 +--R (- 8848a b + 32384a b - 25600a b + 4736a b - 144a b)cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R (- 1824a b + 11616a b - 15808a b + 5312a b - 384a b ) +--R * +--R 6 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 4 +--R (- 146a b + 1848a b - 4500a b + 2568a b - 346a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 2 2 7 +--R (- 2a b + 88a b - 476a b + 472a b - 114a b )cos(x) - 8a b +--R + +--R 3 6 4 5 +--R 16a b - 8a b +--R * +--R 2 +--R cot(x) +--R + +--R 7 2 16 6 3 7 2 14 +--R 4096a b cos(x) + (16384a b - 8192a b )cos(x) +--R + +--R 5 4 6 3 7 2 12 +--R (26112a b - 30720a b + 5632a b )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 10 +--R (20992a b - 45056a b + 19456a b - 1536a b )cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R (8848a b - 32384a b + 25600a b - 4736a b + 144a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 6 +--R (1824a b - 11616a b + 15808a b - 5312a b + 384a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 4 +--R (146a b - 1848a b + 4500a b - 2568a b + 346a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 5 2 8 +--R (2b - 88a b + 476a b - 472a b + 114a b )cos(x) + 8a b +--R + +--R 2 7 3 6 +--R - 16a b + 8a b +--R * +--R 4 +--R sin(x) +--R + +--R 7 2 8 18 +--R (- 4096a b + 4096a b)cos(x) +--R + +--R 6 3 7 2 8 16 +--R (- 16384a b + 32768a b - 8192a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 14 +--R (- 26112a b + 89600a b - 52736a b + 5632a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R (- 20992a b + 118016a b - 126464a b + 32000a b - 1536a b) +--R * +--R 12 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R - 8848a b + 82448a b - 149248a b + 69248a b - 7568a b +--R + +--R 8 +--R 144a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 1824a b + 30304a b - 92768a b + 73520a b - 14368a b +--R + +--R 7 2 +--R 528a b +--R * +--R 8 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 146a b + 5258a b - 29268a b + 40076a b - 13226a b +--R + +--R 6 3 +--R 730a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 +--R (- 2b + 316a b - 3964a b + 10392a b - 5986a b + 460a b ) +--R * +--R 4 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 2 8 +--R (2b - 136a b + 964a b - 1144a b + 122a b )cos(x) + 8a b +--R + +--R 2 7 3 6 +--R - 48a b + 8a b +--R * +--R 2 2 +--R cot(x) sec(x) +--R + +--R 8 9 18 +--R (- 4096a b + 4096a )cos(x) +--R + +--R 7 2 8 9 16 +--R (- 16384a b + 32768a b - 8192a )cos(x) +--R + +--R 6 3 7 2 8 9 14 +--R (- 26112a b + 89600a b - 52736a b + 5632a )cos(x) +--R + +--R 5 4 6 3 7 2 8 9 +--R (- 20992a b + 118016a b - 126464a b + 32000a b - 1536a ) +--R * +--R 12 +--R cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 +--R - 8848a b + 82448a b - 149248a b + 69248a b - 7568a b +--R + +--R 9 +--R 144a +--R * +--R 10 +--R cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R - 1824a b + 30304a b - 92768a b + 73520a b - 14368a b +--R + +--R 8 +--R 528a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R - 146a b + 5258a b - 29268a b + 40076a b - 13226a b +--R + +--R 7 2 +--R 730a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R - 2a b + 316a b - 3964a b + 10392a b - 5986a b +--R + +--R 6 3 +--R 460a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 2 2 7 +--R (2a b - 136a b + 964a b - 1144a b + 122a b )cos(x) + 8a b +--R + +--R 3 6 4 5 +--R - 48a b + 8a b +--R * +--R 2 +--R cot(x) +--R + +--R 7 2 8 18 +--R (4096a b - 4096a b)cos(x) +--R + +--R 6 3 7 2 8 16 +--R (16384a b - 32768a b + 8192a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 14 +--R (26112a b - 89600a b + 52736a b - 5632a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 12 +--R (20992a b - 118016a b + 126464a b - 32000a b + 1536a b)cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 +--R 8848a b - 82448a b + 149248a b - 69248a b + 7568a b +--R + +--R 8 +--R - 144a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 +--R 1824a b - 30304a b + 92768a b - 73520a b + 14368a b +--R + +--R 7 2 +--R - 528a b +--R * +--R 8 +--R cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 +--R 146a b - 5258a b + 29268a b - 40076a b + 13226a b +--R + +--R 6 3 +--R - 730a b +--R * +--R 6 +--R cos(x) +--R + +--R 9 8 2 7 3 6 4 5 5 4 4 +--R (2b - 316a b + 3964a b - 10392a b + 5986a b - 460a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 5 2 8 +--R (- 2b + 136a b - 964a b + 1144a b - 122a b )cos(x) - 8a b +--R + +--R 2 7 3 6 +--R 48a b - 8a b +--R * +--R 2 +--R sin(x) +--R + +--R 8 20 7 2 8 18 +--R 4096a b cos(x) + (20480a b - 12288a b)cos(x) +--R + +--R 6 3 7 2 8 16 +--R (42496a b - 59392a b + 13824a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 14 +--R (47104a b - 118016a b + 64512a b - 6912a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 12 +--R (29840a b - 123520a b + 122496a b - 31104a b + 1296a b)cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 10 +--R (10672a b - 72240a b + 120576a b - 56304a b + 5616a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 8 +--R (1970a b - 22920a b + 64572a b - 51880a b + 9666a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 +--R (148a b - 3456a b + 17832a b - 25184a b + 8292a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 5 4 +--R (2b - 168a b + 2076a b - 5896a b + 3602a b )cos(x) +--R + +--R 8 2 7 3 6 2 2 7 +--R (48a b - 480a b + 688a b )cos(x) + 32a b +--R * +--R 2 2 +--R cot(x) sec(x) +--R + +--R 9 20 8 9 18 +--R 4096a cos(x) + (20480a b - 12288a )cos(x) +--R + +--R 7 2 8 9 16 +--R (42496a b - 59392a b + 13824a )cos(x) +--R + +--R 6 3 7 2 8 9 14 +--R (47104a b - 118016a b + 64512a b - 6912a )cos(x) +--R + +--R 5 4 6 3 7 2 8 9 12 +--R (29840a b - 123520a b + 122496a b - 31104a b + 1296a )cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 10 +--R (10672a b - 72240a b + 120576a b - 56304a b + 5616a b)cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 8 +--R (1970a b - 22920a b + 64572a b - 51880a b + 9666a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 6 +--R (148a b - 3456a b + 17832a b - 25184a b + 8292a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 4 +--R (2a b - 168a b + 2076a b - 5896a b + 3602a b )cos(x) +--R + +--R 2 7 3 6 4 5 2 3 6 +--R (48a b - 480a b + 688a b )cos(x) + 32a b +--R * +--R 2 +--R cot(x) +--R + +--R 8 20 7 2 8 18 +--R - 4096a b cos(x) + (- 20480a b + 12288a b)cos(x) +--R + +--R 6 3 7 2 8 16 +--R (- 42496a b + 59392a b - 13824a b)cos(x) +--R + +--R 5 4 6 3 7 2 8 14 +--R (- 47104a b + 118016a b - 64512a b + 6912a b)cos(x) +--R + +--R 4 5 5 4 6 3 7 2 8 12 +--R (- 29840a b + 123520a b - 122496a b + 31104a b - 1296a b)cos(x) +--R + +--R 3 6 4 5 5 4 6 3 7 2 10 +--R (- 10672a b + 72240a b - 120576a b + 56304a b - 5616a b )cos(x) +--R + +--R 2 7 3 6 4 5 5 4 6 3 8 +--R (- 1970a b + 22920a b - 64572a b + 51880a b - 9666a b )cos(x) +--R + +--R 8 2 7 3 6 4 5 5 4 6 +--R (- 148a b + 3456a b - 17832a b + 25184a b - 8292a b )cos(x) +--R + +--R 9 8 2 7 3 6 4 5 4 +--R (- 2b + 168a b - 2076a b + 5896a b - 3602a b )cos(x) +--R + +--R 8 2 7 3 6 2 2 7 +--R (- 48a b + 480a b - 688a b )cos(x) - 32a b +--R * +--R +-------------+ +--R | 2 +--R \|b sec(x) + a +--R Type: Expression Integer +--E 93 + +--S 94 of 528 +t0317:= 1/(1+sec(x)^2)^(1/2) +--R +--R +--R 1 +--R (92) -------------- +--R +-----------+ +--R | 2 +--R \|sec(x) + 1 +--R Type: Expression Integer +--E 94 + +--S 95 of 528 +r0317:= atan(tan(x)/(2+tan(x)^2)^(1/2)) +--R +--R +--R tan(x) +--R (93) atan(--------------) +--R +-----------+ +--R | 2 +--R \|tan(x) + 2 +--R Type: Expression Integer +--E 95 + +--S 96 of 528 +a0317:= integrate(t0317,x) +--R +--R +--R (94) +--R atan +--R +---------------------+ +--R | 2 +--R 3 2 | 4cos(x) + 4 +--R (2cos(x) + 2cos(x) )sin(x) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 +--R (- 4cos(x) - 2cos(x))sin(x) +--R / +--R +---------------------+ +--R | 2 +--R 4 3 2 | 4cos(x) + 4 +--R (2cos(x) + 2cos(x) - cos(x) - cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 4 +--R - 4cos(x) + 2 +--R + +--R sin(x) +--R - atan(------) +--R cos(x) +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 96 + +--S 97 of 528 +m0317:= a0317-r0317 +--R +--R +--R (95) +--R atan +--R +---------------------+ +--R | 2 +--R 3 2 | 4cos(x) + 4 +--R (2cos(x) + 2cos(x) )sin(x) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 +--R (- 4cos(x) - 2cos(x))sin(x) +--R / +--R +---------------------+ +--R | 2 +--R 4 3 2 | 4cos(x) + 4 +--R (2cos(x) + 2cos(x) - cos(x) - cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 4 +--R - 4cos(x) + 2 +--R + +--R tan(x) sin(x) +--R - 2atan(--------------) - atan(------) +--R +-----------+ cos(x) +--R | 2 +--R \|tan(x) + 2 +--R / +--R 2 +--R Type: Expression Integer +--E 97 + +--S 98 of 528 +d0317:= D(m0317,x) +--R +--R +--R (96) +--R 13 12 11 10 +--R 64cos(x) + 64cos(x) + 112cos(x) + 112cos(x) +--R + +--R 9 8 7 6 5 +--R - 40cos(x) - 40cos(x) - 89cos(x) - 89cos(x) + 6cos(x) +--R + +--R 4 3 2 +--R 6cos(x) + 16cos(x) + 16cos(x) + cos(x) + 1 +--R * +--R 2 +--R sin(x) +--R + +--R 15 14 13 12 11 +--R 64cos(x) + 64cos(x) + 48cos(x) + 48cos(x) - 88cos(x) +--R + +--R 10 9 8 7 6 +--R - 88cos(x) - 49cos(x) - 49cos(x) + 43cos(x) + 43cos(x) +--R + +--R 5 4 3 2 +--R 14cos(x) + 14cos(x) - 7cos(x) - 7cos(x) - cos(x) - 1 +--R * +--R +---------------------+ +--R | 2 +--R | 4cos(x) + 4 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 13 11 9 7 5 +--R - 128cos(x) - 288cos(x) - 16cos(x) + 238cos(x) + 58cos(x) +--R + +--R 3 +--R - 50cos(x) - 12cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 15 13 11 9 7 +--R - 128cos(x) - 160cos(x) + 144cos(x) + 190cos(x) - 60cos(x) +--R + +--R 5 3 +--R - 72cos(x) + 10cos(x) + 8cos(x) +--R * +--R +-----------+ +--R | 2 +--R \|tan(x) + 2 +--R + +--R 15 14 13 12 +--R - 256cos(x) - 256cos(x) - 256cos(x) - 256cos(x) +--R + +--R 11 10 9 8 7 +--R 192cos(x) + 192cos(x) + 192cos(x) + 192cos(x) - 34cos(x) +--R + +--R 6 5 4 3 2 +--R - 34cos(x) - 34cos(x) - 34cos(x) - 2cos(x) - 2cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 17 16 13 12 11 +--R - 256cos(x) - 256cos(x) + 448cos(x) + 448cos(x) - 64cos(x) +--R + +--R 10 9 8 7 6 +--R - 64cos(x) - 258cos(x) - 258cos(x) + 60cos(x) + 60cos(x) +--R + +--R 5 4 3 2 +--R 50cos(x) + 50cos(x) - 12cos(x) - 12cos(x) - 2cos(x) - 2 +--R * +--R +---------------------+ +--R | 2 +--R | 4cos(x) + 4 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 15 13 11 9 7 +--R 512cos(x) + 768cos(x) - 192cos(x) - 608cos(x) - 64cos(x) +--R + +--R 5 3 +--R 120cos(x) + 24cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 17 15 13 11 9 +--R 512cos(x) + 256cos(x) - 960cos(x) - 288cos(x) + 672cos(x) +--R + +--R 7 5 +--R 80cos(x) - 192cos(x) + 16cos(x) +--R / +--R 15 14 13 12 +--R 256cos(x) + 256cos(x) + 256cos(x) + 256cos(x) +--R + +--R 11 10 9 8 +--R - 192cos(x) - 192cos(x) - 192cos(x) - 192cos(x) +--R + +--R 7 6 5 4 3 +--R 34cos(x) + 34cos(x) + 34cos(x) + 34cos(x) + 2cos(x) +--R + +--R 2 +--R 2cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 17 16 13 12 11 +--R 256cos(x) + 256cos(x) - 448cos(x) - 448cos(x) + 64cos(x) +--R + +--R 10 9 8 7 6 +--R 64cos(x) + 258cos(x) + 258cos(x) - 60cos(x) - 60cos(x) +--R + +--R 5 4 3 2 +--R - 50cos(x) - 50cos(x) + 12cos(x) + 12cos(x) + 2cos(x) + 2 +--R * +--R +---------------------+ +--R | 2 +--R | 4cos(x) + 4 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 15 13 11 9 7 +--R - 512cos(x) - 768cos(x) + 192cos(x) + 608cos(x) + 64cos(x) +--R + +--R 5 3 +--R - 120cos(x) - 24cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 17 15 13 11 9 +--R - 512cos(x) - 256cos(x) + 960cos(x) + 288cos(x) - 672cos(x) +--R + +--R 7 5 +--R - 80cos(x) + 192cos(x) - 16cos(x) +--R * +--R +-----------+ +--R | 2 +--R \|tan(x) + 2 +--R Type: Expression Integer +--E 98 + +--S 99 of 528 +t0318:= 1/(1-sec(x)^2)^(1/2) +--R +--R +--R 1 +--R (97) ---------------- +--R +-------------+ +--R | 2 +--R \|- sec(x) + 1 +--R Type: Expression Integer +--E 99 + +--S 100 of 528 +r0318:= log(sin(x))*tan(x)/(-tan(x)^2)^(1/2) +--R +--R +--R tan(x)log(sin(x)) +--R (98) ----------------- +--R +---------+ +--R | 2 +--R \|- tan(x) +--R Type: Expression Integer +--E 100 + +--S 101 of 528 +a0318:= integrate(t0318,x) +--R +--R +--R x x 3 x 3 x x +--R 2cos(-)sin(-) + (2cos(-) - 2cos(-))sin(-) +--R 2 2 2 2 2 +--R (99) atan(-------------------------------------------) +--R x 4 x 2 x 4 x 2 +--R sin(-) - sin(-) - cos(-) - 3cos(-) +--R 2 2 2 2 +--R Type: Union(Expression Integer,...) +--E 101 + +--S 102 of 528 +m0318:= a0318-r0318 +--R +--R +--R (100) +--R x x 3 x 3 x x +--R 2cos(-)sin(-) + (2cos(-) - 2cos(-))sin(-) +---------+ +--R 2 2 2 2 2 | 2 +--R atan(-------------------------------------------)\|- tan(x) +--R x 4 x 2 x 4 x 2 +--R sin(-) - sin(-) - cos(-) - 3cos(-) +--R 2 2 2 2 +--R + +--R - tan(x)log(sin(x)) +--R / +--R +---------+ +--R | 2 +--R \|- tan(x) +--R Type: Expression Integer +--E 102 + +--S 103 of 528 +d0318:= D(m0318,x) +--R +--R +--R (101) +--R x 6 x 2 x 4 x 4 x 2 +--R - sin(-) + (- 3cos(-) + 2)sin(-) + (- 3cos(-) - 1)sin(-) +--R 2 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - cos(-) - 2cos(-) + 3cos(-) +--R 2 2 2 +--R * +--R +---------+ +--R | 2 +--R sin(x)\|- tan(x) +--R + +--R x 6 x 2 x 4 +--R - cos(x)sin(-) + (- 3cos(-) + 2)cos(x)sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 x 2 +--R (- 3cos(-) + 12cos(-) - 1)cos(x)sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R (- cos(-) - 6cos(-) - 9cos(-) )cos(x) +--R 2 2 2 +--R * +--R tan(x) +--R / +--R x 6 x 2 x 4 x 4 x 2 x 2 +--R sin(-) + (3cos(-) - 2)sin(-) + (3cos(-) - 12cos(-) + 1)sin(-) +--R 2 2 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R cos(-) + 6cos(-) + 9cos(-) +--R 2 2 2 +--R * +--R +---------+ +--R | 2 +--R sin(x)\|- tan(x) +--R Type: Expression Integer +--E 103 + +--S 104 of 528 +t0319:= 1/(-1+sec(x)^2)^(1/2) +--R +--R +--R 1 +--R (102) -------------- +--R +-----------+ +--R | 2 +--R \|sec(x) - 1 +--R Type: Expression Integer +--E 104 + +--S 105 of 528 +r0319:= log(sin(x))*tan(x)/(tan(x)^2)^(1/2) +--R +--R +--R tan(x)log(sin(x)) +--R (103) ----------------- +--R +-------+ +--R | 2 +--R \|tan(x) +--R Type: Expression Integer +--E 105 + +--S 106 of 528 +a0319:= integrate(t0319,x) +--R +--R +--R sin(x) 2 +--R (104) - log(----------) + log(----------) +--R cos(x) + 1 cos(x) + 1 +--R Type: Union(Expression Integer,...) +--E 106 + +--S 107 of 528 +m0319:= a0319-r0319 +--R +--R +--R +-------+ +--R sin(x) 2 | 2 +--R (- log(----------) + log(----------))\|tan(x) - tan(x)log(sin(x)) +--R cos(x) + 1 cos(x) + 1 +--R (105) ------------------------------------------------------------------- +--R +-------+ +--R | 2 +--R \|tan(x) +--R Type: Expression Integer +--E 107 + +--S 108 of 528 +d0319:= D(m0319,x) +--R +--R +--R +-------+ +--R | 2 +--R - cos(x)\|tan(x) - cos(x)tan(x) +--R (106) --------------------------------- +--R +-------+ +--R | 2 +--R sin(x)\|tan(x) +--R Type: Expression Integer +--E 108 + +--S 109 of 528 +t0320:= 1/(-1-sec(x)^2)^(1/2) +--R +--R +--R 1 +--R (107) ---------------- +--R +-------------+ +--R | 2 +--R \|- sec(x) - 1 +--R Type: Expression Integer +--E 109 + +--S 110 of 528 +r0320:= atanh(tan(x)/(-2-tan(x)^2)^(1/2)) +--R +--R +--R tan(x) +--R (108) atanh(----------------) +--R +-------------+ +--R | 2 +--R \|- tan(x) - 2 +--R Type: Expression Integer +--E 110 + +--S 111 of 528 +a0320:= integrate(t0320,x) +--R +--R +--R (109) +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +--R - log(\|(%e ) + 6(%e ) + 1 - (%e ) - 1) +--R + +--R log +--R +--------------------------------+ +--R +---+ 2 | +---+ 4 +---+ 2 +--R x\|- 1 | x\|- 1 x\|- 1 +--R (- 2(%e ) - 2)\|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R 2(%e ) + 8(%e ) - 2 +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 111 + +--S 112 of 528 +m0320:= a0320-r0320 +--R +--R +--R (110) +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +--R - log(\|(%e ) + 6(%e ) + 1 - (%e ) - 1) +--R + +--R log +--R +--------------------------------+ +--R +---+ 2 | +---+ 4 +---+ 2 +--R x\|- 1 | x\|- 1 x\|- 1 +--R (- 2(%e ) - 2)\|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R 2(%e ) + 8(%e ) - 2 +--R + +--R tan(x) +--R - 2atanh(----------------) +--R +-------------+ +--R | 2 +--R \|- tan(x) - 2 +--R / +--R 2 +--R Type: Expression Integer +--E 112 + +--S 113 of 528 +d0320:= D(m0320,x) +--R +--R +--R (111) +--R +---+ 6 +---+ 4 +---+ 2 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R \|- 1 (%e ) + 7\|- 1 (%e ) + 11\|- 1 (%e ) +--R + +--R +---+ +--R 5\|- 1 +--R * +--R +-------------+ +--R | 2 +--R \|- tan(x) - 2 +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R - (%e ) - 9(%e ) - 19(%e ) - 3 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R - \|- 1 (%e ) - 10\|- 1 (%e ) - 28\|- 1 (%e ) +--R + +--R +---+ 2 +--R +---+ x\|- 1 +---+ +--R - 22\|- 1 (%e ) - 3\|- 1 +--R * +--R +-------------+ +--R | 2 +--R \|- tan(x) - 2 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R (%e ) + 12(%e ) + 42(%e ) + 36(%e ) + 5 +--R / +--R +---+ 6 +---+ 4 +---+ 2 +-------------+ +--R x\|- 1 x\|- 1 x\|- 1 | 2 +--R ((%e ) + 9(%e ) + 19(%e ) + 3)\|- tan(x) - 2 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R (- (%e ) - 12(%e ) - 42(%e ) - 36(%e ) - 5) +--R * +--R +-------------+ +--R | 2 +--R \|- tan(x) - 2 +--R Type: Expression Integer +--E 113 + +--S 114 of 528 +t0321:= 1/(a+b*sec(x)^2)^(1/2) +--R +--R +--R 1 +--R (112) ---------------- +--R +-------------+ +--R | 2 +--R \|b sec(x) + a +--R Type: Expression Integer +--E 114 + +--S 115 of 528 +r0321:= atan(a^(1/2)*tan(x)/(a+b*sec(x)^2)^(1/2))/a^(1/2) +--R +--R +--R +-+ +--R tan(x)\|a +--R atan(----------------) +--R +-------------+ +--R | 2 +--R \|b sec(x) + a +--R (113) ---------------------- +--R +-+ +--R \|a +--R Type: Expression Integer +--E 115 + +--S 116 of 528 +a0321:= integrate(t0321,x) +--R +--R +--R (114) +--R atan +--R 3 2 +-+ +--R (4a cos(x) + 4a cos(x) + (b - a)cos(x) + b - a)sin(x)\|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 3 2 +--R (- 8a cos(x) + (- 6a b + 2a )cos(x))sin(x) +--R / +--R 4 3 2 +-+ +--R (4a cos(x) + 4a cos(x) + (b - 3a)cos(x) + (b - 3a)cos(x))\|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 4 2 2 +--R - 8a cos(x) + (- 6a b + 6a )cos(x) + 4a b +--R + +--R sin(x) +--R - atan(------) +--R cos(x) +--R / +--R +-+ +--R 2\|a +--R Type: Union(Expression Integer,...) +--E 116 + +--S 117 of 528 +m0321:= a0321-r0321 +--R +--R +--R (115) +--R atan +--R 3 2 +-+ +--R (4a cos(x) + 4a cos(x) + (b - a)cos(x) + b - a)sin(x)\|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 3 2 +--R (- 8a cos(x) + (- 6a b + 2a )cos(x))sin(x) +--R / +--R 4 3 2 +-+ +--R (4a cos(x) + 4a cos(x) + (b - 3a)cos(x) + (b - 3a)cos(x))\|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 4 2 2 +--R - 8a cos(x) + (- 6a b + 6a )cos(x) + 4a b +--R + +--R +-+ +--R tan(x)\|a sin(x) +--R - 2atan(----------------) - atan(------) +--R +-------------+ cos(x) +--R | 2 +--R \|b sec(x) + a +--R / +--R +-+ +--R 2\|a +--R Type: Expression Integer +--E 117 + +--S 118 of 528 +d0321:= D(m0321,x) +--R +--R +--R (116) +--R 5 13 5 12 4 5 11 +--R 512a cos(x) + 512a cos(x) + (1536a b - 640a )cos(x) +--R + +--R 4 5 10 +--R (1536a b - 640a )cos(x) +--R + +--R 3 2 4 5 9 +--R (1568a b - 1984a b + 96a )cos(x) +--R + +--R 3 2 4 5 8 +--R (1568a b - 1984a b + 96a )cos(x) +--R + +--R 2 3 3 2 4 5 7 +--R (640a b - 1936a b + 512a b + 72a )cos(x) +--R + +--R 2 3 3 2 4 5 6 +--R (640a b - 1936a b + 512a b + 72a )cos(x) +--R + +--R 4 2 3 3 2 4 5 +--R (90a b - 680a b + 554a b + 84a b)cos(x) +--R + +--R 4 2 3 3 2 4 4 +--R (90a b - 680a b + 554a b + 84a b)cos(x) +--R + +--R 5 4 2 3 3 2 3 +--R (2b - 64a b + 170a b + 20a b )cos(x) +--R + +--R 5 4 2 3 3 2 2 4 4 +--R (2b - 64a b + 170a b + 20a b )cos(x) + 8a b cos(x) + 8a b +--R * +--R 2 +--R sin(x) +--R + +--R 5 15 5 14 4 5 13 +--R 512a cos(x) + 512a cos(x) + (1536a b - 1152a )cos(x) +--R + +--R 4 5 12 3 2 4 5 11 +--R (1536a b - 1152a )cos(x) + (1696a b - 3264a b + 864a )cos(x) +--R + +--R 3 2 4 5 10 +--R (1696a b - 3264a b + 864a )cos(x) +--R + +--R 2 3 3 2 4 5 9 +--R (832a b - 3312a b + 2304a b - 216a )cos(x) +--R + +--R 2 3 3 2 4 5 8 +--R (832a b - 3312a b + 2304a b - 216a )cos(x) +--R + +--R 4 2 3 3 2 4 7 +--R (170a b - 1416a b + 2130a b - 540a b)cos(x) +--R + +--R 4 2 3 3 2 4 6 +--R (170a b - 1416a b + 2130a b - 540a b)cos(x) +--R + +--R 5 4 2 3 3 2 5 +--R (10b - 222a b + 774a b - 450a b )cos(x) +--R + +--R 5 4 2 3 3 2 4 +--R (10b - 222a b + 774a b - 450a b )cos(x) +--R + +--R 5 4 2 3 3 +--R (- 6b + 84a b - 134a b )cos(x) +--R + +--R 5 4 2 3 2 4 4 +--R (- 6b + 84a b - 134a b )cos(x) - 8a b cos(x) - 8a b +--R * +--R +---------------------+ +--R | 2 +--R +-+ | 4a cos(x) + 4b +--R \|a |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 13 5 6 11 +--R - 1024a cos(x) + (- 3584a b + 1280a )cos(x) +--R + +--R 4 2 5 6 9 +--R (- 4544a b + 4608a b - 192a )cos(x) +--R + +--R 3 3 4 2 5 6 7 +--R (- 2528a b + 5696a b - 1120a b - 144a )cos(x) +--R + +--R 2 4 3 3 4 2 5 5 +--R (- 580a b + 2880a b - 1596a b - 240a b)cos(x) +--R + +--R 5 2 4 3 3 4 2 3 +--R (- 38a b + 522a b - 778a b - 106a b )cos(x) +--R + +--R 5 2 4 3 3 +--R (16a b - 104a b - 8a b )cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 6 15 5 6 13 +--R - 1024a cos(x) + (- 3584a b + 2304a )cos(x) +--R + +--R 4 2 5 6 11 +--R (- 4800a b + 7680a b - 1728a )cos(x) +--R + +--R 3 3 4 2 5 6 9 +--R (- 3040a b + 9600a b - 5472a b + 432a )cos(x) +--R + +--R 2 4 3 3 4 2 5 7 +--R (- 900a b + 5472a b - 6348a b + 1296a b)cos(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R (- 102a b + 1350a b - 3210a b + 1386a b )cos(x) +--R + +--R 6 5 2 4 3 3 3 +--R (- 2b + 102a b - 630a b + 610a b )cos(x) +--R + +--R 5 2 4 +--R (- 24a b + 88a b )cos(x) +--R * +--R +-------------+ +--R | 2 +--R \|b sec(x) + a +--R + +--R 6 15 6 14 5 6 13 +--R - 2048a cos(x) - 2048a cos(x) + (- 6144a b + 4096a )cos(x) +--R + +--R 5 6 12 +--R (- 6144a b + 4096a )cos(x) +--R + +--R 4 2 5 6 11 +--R (- 6912a b + 11264a b - 2816a )cos(x) +--R + +--R 4 2 5 6 10 +--R (- 6912a b + 11264a b - 2816a )cos(x) +--R + +--R 3 3 4 2 5 6 9 +--R (- 3584a b + 11264a b - 6912a b + 768a )cos(x) +--R + +--R 3 3 4 2 5 6 8 +--R (- 3584a b + 11264a b - 6912a b + 768a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 7 +--R (- 840a b + 4928a b - 5888a b + 1600a b - 72a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 6 +--R (- 840a b + 4928a b - 5888a b + 1600a b - 72a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 5 +--R (- 72a b + 880a b - 2016a b + 1056a b - 120a b)cos(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (- 72a b + 880a b - 2016a b + 1056a b - 120a b)cos(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (- b + 44a b - 234a b + 228a b - 53a b )cos(x) +--R + +--R 6 5 2 4 3 3 4 2 2 +--R (- b + 44a b - 234a b + 228a b - 53a b )cos(x) +--R + +--R 5 2 4 3 3 5 2 4 3 3 +--R (- 4a b + 8a b - 4a b )cos(x) - 4a b + 8a b - 4a b +--R * +--R 2 +--R sin(x) +--R + +--R 6 17 6 16 5 6 15 +--R - 2048a cos(x) - 2048a cos(x) + (- 6144a b + 6144a )cos(x) +--R + +--R 5 6 14 +--R (- 6144a b + 6144a )cos(x) +--R + +--R 4 2 5 6 13 +--R (- 6912a b + 17408a b - 6912a )cos(x) +--R + +--R 4 2 5 6 12 +--R (- 6912a b + 17408a b - 6912a )cos(x) +--R + +--R 3 3 4 2 5 6 11 +--R (- 3584a b + 18048a b - 18432a b + 3456a )cos(x) +--R + +--R 3 3 4 2 5 6 10 +--R (- 3584a b + 18048a b - 18432a b + 3456a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 9 +--R (- 840a b + 8256a b - 17472a b + 8640a b - 648a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 8 +--R (- 840a b + 8256a b - 17472a b + 8640a b - 648a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 7 +--R (- 72a b + 1560a b - 6912a b + 7416a b - 1512a b)cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 72a b + 1560a b - 6912a b + 7416a b - 1512a b)cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (- b + 84a b - 990a b + 2468a b - 1161a b )cos(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (- b + 84a b - 990a b + 2468a b - 1161a b )cos(x) +--R + +--R 5 2 4 3 3 3 +--R (- 24a b + 240a b - 312a b )cos(x) +--R + +--R 5 2 4 3 3 2 2 4 2 4 +--R (- 24a b + 240a b - 312a b )cos(x) - 16a b cos(x) - 16a b +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 15 5 6 13 +--R 4096a cos(x) + (14336a b - 8192a )cos(x) +--R + +--R 4 2 5 6 11 +--R (19456a b - 26624a b + 5632a )cos(x) +--R + +--R 3 3 4 2 5 6 9 +--R (12800a b - 32768a b + 16640a b - 1536a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 7 +--R (4144a b - 18816a b + 17984a b - 3968a b + 144a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 5 +--R (584a b - 4960a b + 8544a b - 3520a b + 312a b)cos(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (24b - 488a b + 1656a b - 1208a b + 208a b )cos(x) +--R + +--R 6 5 2 4 3 3 +--R (- 8b + 88a b - 120a b + 40a b )cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 6 17 5 6 15 +--R 4096a cos(x) + (14336a b - 12288a )cos(x) +--R + +--R 4 2 5 6 13 +--R (19456a b - 40960a b + 13824a )cos(x) +--R + +--R 3 3 4 2 5 6 11 +--R (12800a b - 51968a b + 43776a b - 6912a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 9 +--R (4144a b - 30976a b + 51648a b - 20736a b + 1296a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 7 +--R (584a b - 8560a b + 27552a b - 22608a b + 3672a b)cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (24b - 896a b + 6288a b - 10624a b + 3672a b )cos(x) +--R + +--R 6 5 2 4 3 3 3 +--R (- 16b + 432a b - 1904a b + 1488a b )cos(x) +--R + +--R 5 2 4 +--R (- 64a b + 192a b )cos(x) +--R * +--R +-+ +--R \|a +--R / +--R 6 15 6 14 5 6 13 +--R 2048a cos(x) + 2048a cos(x) + (6144a b - 4096a )cos(x) +--R + +--R 5 6 12 +--R (6144a b - 4096a )cos(x) +--R + +--R 4 2 5 6 11 +--R (6912a b - 11264a b + 2816a )cos(x) +--R + +--R 4 2 5 6 10 +--R (6912a b - 11264a b + 2816a )cos(x) +--R + +--R 3 3 4 2 5 6 9 +--R (3584a b - 11264a b + 6912a b - 768a )cos(x) +--R + +--R 3 3 4 2 5 6 8 +--R (3584a b - 11264a b + 6912a b - 768a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 7 +--R (840a b - 4928a b + 5888a b - 1600a b + 72a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 6 +--R (840a b - 4928a b + 5888a b - 1600a b + 72a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 5 +--R (72a b - 880a b + 2016a b - 1056a b + 120a b)cos(x) +--R + +--R 5 2 4 3 3 4 2 5 4 +--R (72a b - 880a b + 2016a b - 1056a b + 120a b)cos(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (b - 44a b + 234a b - 228a b + 53a b )cos(x) +--R + +--R 6 5 2 4 3 3 4 2 2 +--R (b - 44a b + 234a b - 228a b + 53a b )cos(x) +--R + +--R 5 2 4 3 3 5 2 4 3 3 +--R (4a b - 8a b + 4a b )cos(x) + 4a b - 8a b + 4a b +--R * +--R 2 +--R sin(x) +--R + +--R 6 17 6 16 5 6 15 +--R 2048a cos(x) + 2048a cos(x) + (6144a b - 6144a )cos(x) +--R + +--R 5 6 14 4 2 5 6 13 +--R (6144a b - 6144a )cos(x) + (6912a b - 17408a b + 6912a )cos(x) +--R + +--R 4 2 5 6 12 +--R (6912a b - 17408a b + 6912a )cos(x) +--R + +--R 3 3 4 2 5 6 11 +--R (3584a b - 18048a b + 18432a b - 3456a )cos(x) +--R + +--R 3 3 4 2 5 6 10 +--R (3584a b - 18048a b + 18432a b - 3456a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 9 +--R (840a b - 8256a b + 17472a b - 8640a b + 648a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 8 +--R (840a b - 8256a b + 17472a b - 8640a b + 648a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 7 +--R (72a b - 1560a b + 6912a b - 7416a b + 1512a b)cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (72a b - 1560a b + 6912a b - 7416a b + 1512a b)cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (b - 84a b + 990a b - 2468a b + 1161a b )cos(x) +--R + +--R 6 5 2 4 3 3 4 2 4 +--R (b - 84a b + 990a b - 2468a b + 1161a b )cos(x) +--R + +--R 5 2 4 3 3 3 +--R (24a b - 240a b + 312a b )cos(x) +--R + +--R 5 2 4 3 3 2 2 4 2 4 +--R (24a b - 240a b + 312a b )cos(x) + 16a b cos(x) + 16a b +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 15 5 6 13 +--R - 4096a cos(x) + (- 14336a b + 8192a )cos(x) +--R + +--R 4 2 5 6 11 +--R (- 19456a b + 26624a b - 5632a )cos(x) +--R + +--R 3 3 4 2 5 6 9 +--R (- 12800a b + 32768a b - 16640a b + 1536a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 7 +--R (- 4144a b + 18816a b - 17984a b + 3968a b - 144a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 5 +--R (- 584a b + 4960a b - 8544a b + 3520a b - 312a b)cos(x) +--R + +--R 6 5 2 4 3 3 4 2 3 +--R (- 24b + 488a b - 1656a b + 1208a b - 208a b )cos(x) +--R + +--R 6 5 2 4 3 3 +--R (8b - 88a b + 120a b - 40a b )cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 6 17 5 6 15 +--R - 4096a cos(x) + (- 14336a b + 12288a )cos(x) +--R + +--R 4 2 5 6 13 +--R (- 19456a b + 40960a b - 13824a )cos(x) +--R + +--R 3 3 4 2 5 6 11 +--R (- 12800a b + 51968a b - 43776a b + 6912a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 9 +--R (- 4144a b + 30976a b - 51648a b + 20736a b - 1296a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 7 +--R (- 584a b + 8560a b - 27552a b + 22608a b - 3672a b)cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R (- 24b + 896a b - 6288a b + 10624a b - 3672a b )cos(x) +--R + +--R 6 5 2 4 3 3 3 +--R (16b - 432a b + 1904a b - 1488a b )cos(x) +--R + +--R 5 2 4 +--R (64a b - 192a b )cos(x) +--R * +--R +-+ +--R \|a +--R * +--R +-------------+ +--R | 2 +--R \|b sec(x) + a +--R Type: Expression Integer +--E 118 + +--S 119 of 528 +t0322:= (1+sec(x)^2)^(3/2) +--R +--R +--R +-----------+ +--R 2 | 2 +--R (117) (sec(x) + 1)\|sec(x) + 1 +--R Type: Expression Integer +--E 119 + +--S 120 of 528 +r0322:= 2*asinh(1/2*2^(1/2)*tan(x))+atan(tan(x)/(2+tan(x)^2)^(1/2))+1/2*tan(x)*(2+tan(x)^2)^(1/2) +--R +--R +--R +-----------+ +-+ +--R tan(x) | 2 \|2 tan(x) +--R 2atan(--------------) + tan(x)\|tan(x) + 2 + 4asinh(----------) +--R +-----------+ 2 +--R | 2 +--R \|tan(x) + 2 +--R (118) ----------------------------------------------------------------- +--R 2 +--R Type: Expression Integer +--E 120 + +--S 121 of 528 +a0322:= integrate(t0322,x) +--R +--R +--R (119) +--R 6 5 4 3 +--R (- 16cos(x) - 16cos(x) - 8cos(x) - 8cos(x) ) +--R * +--R +---------------------+ +--R | 2 +--R | 4cos(x) + 4 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R 32cos(x) + 32cos(x) + 4cos(x) +--R * +--R log +--R +---------------------+ +--R | 2 +--R 2 | 4cos(x) + 4 +--R ((cos(x) + 1)sin(x) - cos(x) - cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 +--R - 2cos(x)sin(x) + 2cos(x) + 2 +--R + +--R +---------------------+ +--R | 2 +--R 6 5 4 3 | 4cos(x) + 4 +--R (16cos(x) + 16cos(x) + 8cos(x) + 8cos(x) ) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R - 32cos(x) - 32cos(x) - 4cos(x) +--R * +--R log +--R +---------------------+ +--R | 2 +--R 2 | 4cos(x) + 4 +--R ((- cos(x) - 1)sin(x) - cos(x) - cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 +--R 2cos(x)sin(x) + 2cos(x) + 2 +--R + +--R +---------------------+ +--R | 2 +--R 6 5 4 3 | 4cos(x) + 4 +--R (8cos(x) + 8cos(x) + 4cos(x) + 4cos(x) ) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R - 16cos(x) - 16cos(x) - 2cos(x) +--R * +--R atan +--R +---------------------+ +--R | 2 +--R 3 2 | 4cos(x) + 4 +--R (2cos(x) + 2cos(x) )sin(x) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 +--R (- 4cos(x) - 2cos(x))sin(x) +--R / +--R +---------------------+ +--R | 2 +--R 4 3 2 | 4cos(x) + 4 +--R (2cos(x) + 2cos(x) - cos(x) - cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 4 +--R - 4cos(x) + 2 +--R + +--R 6 5 4 3 sin(x) +--R (- 8cos(x) - 8cos(x) - 4cos(x) - 4cos(x) )atan(------) +--R cos(x) +--R + +--R 5 4 3 2 +--R (8cos(x) + 8cos(x) + 8cos(x) + 8cos(x) + cos(x) + 1)sin(x) +--R * +--R +---------------------+ +--R | 2 +--R | 4cos(x) + 4 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 sin(x) +--R (16cos(x) + 16cos(x) + 2cos(x) )atan(------) +--R cos(x) +--R + +--R 5 3 +--R (- 16cos(x) - 24cos(x) - 8cos(x))sin(x) +--R / +--R +---------------------+ +--R | 2 +--R 6 5 4 3 | 4cos(x) + 4 +--R (16cos(x) + 16cos(x) + 8cos(x) + 8cos(x) ) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R - 32cos(x) - 32cos(x) - 4cos(x) +--R Type: Union(Expression Integer,...) +--E 121 + +--S 122 of 528 +m0322:= a0322-r0322 +--R +--R +--R (120) +--R 6 5 4 3 +--R (- 16cos(x) - 16cos(x) - 8cos(x) - 8cos(x) ) +--R * +--R +---------------------+ +--R | 2 +--R | 4cos(x) + 4 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R 32cos(x) + 32cos(x) + 4cos(x) +--R * +--R log +--R +---------------------+ +--R | 2 +--R 2 | 4cos(x) + 4 +--R ((cos(x) + 1)sin(x) - cos(x) - cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 +--R - 2cos(x)sin(x) + 2cos(x) + 2 +--R + +--R +---------------------+ +--R | 2 +--R 6 5 4 3 | 4cos(x) + 4 +--R (16cos(x) + 16cos(x) + 8cos(x) + 8cos(x) ) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R - 32cos(x) - 32cos(x) - 4cos(x) +--R * +--R log +--R +---------------------+ +--R | 2 +--R 2 | 4cos(x) + 4 +--R ((- cos(x) - 1)sin(x) - cos(x) - cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 +--R 2cos(x)sin(x) + 2cos(x) + 2 +--R + +--R +---------------------+ +--R | 2 +--R 6 5 4 3 | 4cos(x) + 4 +--R (8cos(x) + 8cos(x) + 4cos(x) + 4cos(x) ) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R - 16cos(x) - 16cos(x) - 2cos(x) +--R * +--R atan +--R +---------------------+ +--R | 2 +--R 3 2 | 4cos(x) + 4 +--R (2cos(x) + 2cos(x) )sin(x) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 +--R (- 4cos(x) - 2cos(x))sin(x) +--R / +--R +---------------------+ +--R | 2 +--R 4 3 2 | 4cos(x) + 4 +--R (2cos(x) + 2cos(x) - cos(x) - cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 4 +--R - 4cos(x) + 2 +--R + +--R 6 5 4 3 +--R (- 16cos(x) - 16cos(x) - 8cos(x) - 8cos(x) ) +--R * +--R +---------------------+ +--R | 2 +--R | 4cos(x) + 4 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R 32cos(x) + 32cos(x) + 4cos(x) +--R * +--R tan(x) +--R atan(--------------) +--R +-----------+ +--R | 2 +--R \|tan(x) + 2 +--R + +--R 6 5 4 3 +--R (- 8cos(x) - 8cos(x) - 4cos(x) - 4cos(x) )tan(x) +--R * +--R +---------------------+ +--R | 2 +--R | 4cos(x) + 4 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R (16cos(x) + 16cos(x) + 2cos(x) )tan(x) +--R * +--R +-----------+ +--R | 2 +--R \|tan(x) + 2 +--R + +--R 6 5 4 3 sin(x) +--R (- 8cos(x) - 8cos(x) - 4cos(x) - 4cos(x) )atan(------) +--R cos(x) +--R + +--R +-+ +--R 6 5 4 3 \|2 tan(x) +--R (- 32cos(x) - 32cos(x) - 16cos(x) - 16cos(x) )asinh(----------) +--R 2 +--R + +--R 5 4 3 2 +--R (8cos(x) + 8cos(x) + 8cos(x) + 8cos(x) + cos(x) + 1)sin(x) +--R * +--R +---------------------+ +--R | 2 +--R | 4cos(x) + 4 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 sin(x) +--R (16cos(x) + 16cos(x) + 2cos(x) )atan(------) +--R cos(x) +--R + +--R +-+ +--R 6 4 2 \|2 tan(x) +--R (64cos(x) + 64cos(x) + 8cos(x) )asinh(----------) +--R 2 +--R + +--R 5 3 +--R (- 16cos(x) - 24cos(x) - 8cos(x))sin(x) +--R / +--R +---------------------+ +--R | 2 +--R 6 5 4 3 | 4cos(x) + 4 +--R (16cos(x) + 16cos(x) + 8cos(x) + 8cos(x) ) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R - 32cos(x) - 32cos(x) - 4cos(x) +--R Type: Expression Integer +--E 122 + +--S 123 of 528 +d0322:= D(m0322,x) +--R +--R +--R (121) +--R 26 25 24 +--R 131072cos(x) + 131072cos(x) + 655360cos(x) +--R + +--R 23 22 21 +--R 655360cos(x) + 1122304cos(x) + 1122304cos(x) +--R + +--R 20 19 18 +--R 589824cos(x) + 589824cos(x) - 428544cos(x) +--R + +--R 17 16 15 +--R - 428544cos(x) - 634368cos(x) - 634368cos(x) +--R + +--R 14 13 12 +--R - 183872cos(x) - 183872cos(x) + 80512cos(x) +--R + +--R 11 10 9 8 +--R 80512cos(x) + 63954cos(x) + 63954cos(x) + 14898cos(x) +--R + +--R 7 6 5 4 +--R 14898cos(x) + 1324cos(x) + 1324cos(x) + 32cos(x) +--R + +--R 3 +--R 32cos(x) +--R * +--R 6 +--R sin(x) +--R + +--R 28 27 26 +--R - 393216cos(x) - 393216cos(x) - 1245184cos(x) +--R + +--R 25 24 23 +--R - 1245184cos(x) - 1646592cos(x) - 1646592cos(x) +--R + +--R 22 21 20 +--R - 1241088cos(x) - 1241088cos(x) - 211456cos(x) +--R + +--R 19 18 17 +--R - 211456cos(x) + 900864cos(x) + 900864cos(x) +--R + +--R 16 15 14 +--R 948544cos(x) + 948544cos(x) + 165344cos(x) +--R + +--R 13 12 11 +--R 165344cos(x) - 217414cos(x) - 217414cos(x) +--R + +--R 10 9 8 7 +--R - 111339cos(x) - 111339cos(x) - 7462cos(x) - 7462cos(x) +--R + +--R 6 5 4 3 +--R 4678cos(x) + 4678cos(x) + 815cos(x) + 815cos(x) +--R + +--R 2 +--R 28cos(x) + 28cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 30 29 28 +--R - 1179648cos(x) - 1179648cos(x) - 4063232cos(x) +--R + +--R 27 26 25 +--R - 4063232cos(x) - 4857856cos(x) - 4857856cos(x) +--R + +--R 24 23 22 +--R - 1359872cos(x) - 1359872cos(x) + 2152960cos(x) +--R + +--R 21 20 19 +--R 2152960cos(x) + 2220544cos(x) + 2220544cos(x) +--R + +--R 18 17 16 +--R 540736cos(x) + 540736cos(x) - 328448cos(x) +--R + +--R 15 14 13 +--R - 328448cos(x) - 193122cos(x) - 193122cos(x) +--R + +--R 12 11 10 9 +--R 8602cos(x) + 8602cos(x) + 5348cos(x) + 5348cos(x) +--R + +--R 8 7 6 5 +--R - 14858cos(x) - 14858cos(x) - 6604cos(x) - 6604cos(x) +--R + +--R 4 3 2 +--R - 862cos(x) - 862cos(x) - 28cos(x) - 28cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 32 31 30 +--R - 655360cos(x) - 655360cos(x) - 2162688cos(x) +--R + +--R 29 28 27 +--R - 2162688cos(x) - 1695744cos(x) - 1695744cos(x) +--R + +--R 26 25 24 +--R 1617920cos(x) + 1617920cos(x) + 2812416cos(x) +--R + +--R 23 22 21 +--R 2812416cos(x) + 316672cos(x) + 316672cos(x) +--R + +--R 20 19 18 +--R - 1303872cos(x) - 1303872cos(x) - 566368cos(x) +--R + +--R 17 16 15 +--R - 566368cos(x) + 186358cos(x) + 186358cos(x) +--R + +--R 14 13 12 11 +--R 160887cos(x) + 160887cos(x) + 13740cos(x) + 13740cos(x) +--R + +--R 10 9 8 7 +--R - 12277cos(x) - 12277cos(x) - 3781cos(x) - 3781cos(x) +--R + +--R 6 5 4 3 +--R - 402cos(x) - 402cos(x) - 13cos(x) - 13cos(x) +--R * +--R +---------------------+ +--R | 2 +--R | 4cos(x) + 4 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 26 24 22 +--R - 262144cos(x) - 1441792cos(x) - 2867200cos(x) +--R + +--R 20 18 16 +--R - 2154496cos(x) + 476160cos(x) + 1748480cos(x) +--R + +--R 14 12 10 8 +--R 878464cos(x) - 74816cos(x) - 212484cos(x) - 74438cos(x) +--R + +--R 6 4 2 +--R - 10362cos(x) - 510cos(x) - 4cos(x) +--R * +--R 6 +--R sin(x) +--R + +--R 28 26 24 +--R 786432cos(x) + 2883584cos(x) + 4440064cos(x) +--R + +--R 22 20 18 +--R 3866624cos(x) + 1377280cos(x) - 1770496cos(x) +--R + +--R 16 14 12 +--R - 2772352cos(x) - 1072896cos(x) + 407660cos(x) +--R + +--R 10 8 6 4 +--R 422940cos(x) + 84166cos(x) - 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524288cos(x) - 524288cos(x) - 1835008cos(x) +--R + +--R 25 24 23 +--R - 1835008cos(x) - 1998848cos(x) - 1998848cos(x) +--R + +--R 22 21 20 +--R 16384cos(x) + 16384cos(x) + 1476608cos(x) +--R + +--R 19 18 17 +--R 1476608cos(x) + 822272cos(x) + 822272cos(x) +--R + +--R 16 15 14 +--R - 120064cos(x) - 120064cos(x) - 224896cos(x) +--R + +--R 13 12 11 10 +--R - 224896cos(x) - 53256cos(x) - 53256cos(x) + 3588cos(x) +--R + +--R 9 8 7 6 +--R 3588cos(x) + 2374cos(x) + 2374cos(x) + 190cos(x) +--R + +--R 5 4 3 +--R 190cos(x) + 2cos(x) + 2cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 32 31 30 29 +--R - 262144cos(x) - 262144cos(x) - 917504cos(x) - 917504cos(x) +--R + +--R 28 27 26 25 +--R - 770048cos(x) - 770048cos(x) + 761856cos(x) + 761856cos(x) +--R + +--R 24 23 22 21 +--R 1426432cos(x) + 1426432cos(x) + 165376cos(x) + 165376cos(x) +--R + +--R 20 19 18 17 +--R - 764032cos(x) - 764032cos(x) - 341312cos(x) - 341312cos(x) +--R + +--R 16 15 14 13 +--R 139516cos(x) + 139516cos(x) + 114818cos(x) + 114818cos(x) +--R + +--R 12 11 10 9 +--R 4614cos(x) + 4614cos(x) - 11526cos(x) - 11526cos(x) +--R + +--R 8 7 6 5 4 +--R - 2822cos(x) - 2822cos(x) - 194cos(x) - 194cos(x) - 2cos(x) +--R + +--R 3 +--R - 2cos(x) +--R * +--R +---------------------+ +--R | 2 +--R | 4cos(x) + 4 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 28 26 24 +--R - 524288cos(x) - 2097152cos(x) - 2916352cos(x) +--R + +--R 22 20 18 +--R - 1015808cos(x) + 1386496cos(x) + 1478656cos(x) +--R + +--R 16 14 12 10 +--R 315648cos(x) - 217856cos(x) - 142152cos(x) - 31104cos(x) +--R + +--R 8 6 +--R - 2680cos(x) - 64cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R 28 26 24 +--R 1048576cos(x) + 4194304cos(x) + 5701632cos(x) +--R + +--R 22 20 18 +--R 1572864cos(x) - 3280896cos(x) - 2981888cos(x) +--R + +--R 16 14 12 10 +--R - 292352cos(x) + 643072cos(x) + 276496cos(x) + 16832cos(x) +--R + +--R 8 6 4 +--R - 9872cos(x) - 1656cos(x) - 56cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 32 30 28 26 +--R 524288cos(x) + 2097152cos(x) + 2392064cos(x) - 950272cos(x) +--R + +--R 24 22 20 18 +--R - 3713024cos(x) - 1527808cos(x) + 1603328cos(x) + 1382144cos(x) +--R + +--R 16 14 12 10 +--R - 88504cos(x) - 386304cos(x) - 86288cos(x) + 29568cos(x) +--R + +--R 8 6 4 +--R 14336cos(x) + 1776cos(x) + 56cos(x) +--R * +--R +-----------+ +--R | 2 +--R \|tan(x) + 2 +--R Type: Expression Integer +--E 123 + +--S 124 of 528 +t0323:= (1-sec(x)^2)^(3/2) +--R +--R +--R +-------------+ +--R 2 | 2 +--R (122) (- sec(x) + 1)\|- sec(x) + 1 +--R Type: Expression Integer +--E 124 + +--S 125 of 528 +r0323:= -1/2*cot(x)*(-tan(x)^2)^(1/2)*(2*log(cos(x))+tan(x)^2) +--R +--R +--R +---------+ +--R 2 | 2 +--R (- 2cot(x)log(cos(x)) - cot(x)tan(x) )\|- tan(x) +--R (123) -------------------------------------------------- +--R 2 +--R Type: Expression Integer +--E 125 + +--S 126 of 528 +a0323:= integrate(t0323,x) +--R +--R +--R (124) +--R x 16 x 2 x 14 x 4 x 12 +--R sin(-) + 8cos(-) sin(-) + (28cos(-) + 4)sin(-) +--R 2 2 2 2 2 +--R + +--R x 6 x 2 x 10 x 8 x 4 x 8 +--R (56cos(-) - 8cos(-) )sin(-) + (70cos(-) - 68cos(-) + 6)sin(-) +--R 2 2 2 2 2 2 +--R + +--R x 10 x 6 x 2 x 6 +--R (56cos(-) - 112cos(-) - 40cos(-) )sin(-) +--R 2 2 2 2 +--R + +--R x 12 x 8 x 4 x 4 +--R (28cos(-) - 68cos(-) + 164cos(-) + 4)sin(-) +--R 2 2 2 2 +--R + +--R x 14 x 10 x 6 x 2 x 2 x 16 +--R (8cos(-) - 8cos(-) - 40cos(-) - 24cos(-) )sin(-) + cos(-) +--R 2 2 2 2 2 2 +--R + +--R x 12 x 8 x 4 +--R 4cos(-) + 6cos(-) + 4cos(-) + 1 +--R 2 2 2 +--R * +--R x x 3 x 3 x x +--R 2cos(-)sin(-) + (2cos(-) - 2cos(-))sin(-) +--R 2 2 2 2 2 +--R atan(-------------------------------------------) +--R x 4 x 2 x 4 x 2 +--R sin(-) - sin(-) - cos(-) - 3cos(-) +--R 2 2 2 2 +--R + +--R x x 11 x 3 x 9 x 5 x 7 +--R - 8cos(-)sin(-) - 24cos(-) sin(-) - 16cos(-) sin(-) +--R 2 2 2 2 2 2 +--R + +--R x 7 x 5 x 9 x x 3 +--R 16cos(-) sin(-) + (24cos(-) + 8cos(-))sin(-) +--R 2 2 2 2 2 +--R + +--R x 11 x 3 x +--R (8cos(-) - 8cos(-) )sin(-) +--R 2 2 2 +--R / +--R x 16 x 2 x 14 x 4 x 12 +--R sin(-) + 8cos(-) sin(-) + (28cos(-) + 4)sin(-) +--R 2 2 2 2 2 +--R + +--R x 6 x 2 x 10 x 8 x 4 x 8 +--R (56cos(-) - 8cos(-) )sin(-) + (70cos(-) - 68cos(-) + 6)sin(-) +--R 2 2 2 2 2 2 +--R + +--R x 10 x 6 x 2 x 6 +--R (56cos(-) - 112cos(-) - 40cos(-) )sin(-) +--R 2 2 2 2 +--R + +--R x 12 x 8 x 4 x 4 +--R (28cos(-) - 68cos(-) + 164cos(-) + 4)sin(-) +--R 2 2 2 2 +--R + +--R x 14 x 10 x 6 x 2 x 2 x 16 +--R (8cos(-) - 8cos(-) - 40cos(-) - 24cos(-) )sin(-) + cos(-) +--R 2 2 2 2 2 2 +--R + +--R x 12 x 8 x 4 +--R 4cos(-) + 6cos(-) + 4cos(-) + 1 +--R 2 2 2 +--R Type: Union(Expression Integer,...) +--E 126 + +--S 127 of 528 +m0323:= a0323-r0323 +--R +--R +--R (125) +--R x 16 x 2 x 14 +--R 2cot(x)sin(-) + 16cos(-) cot(x)sin(-) +--R 2 2 2 +--R + +--R x 4 x 12 +--R (56cos(-) + 8)cot(x)sin(-) +--R 2 2 +--R + +--R x 6 x 2 x 10 +--R (112cos(-) - 16cos(-) )cot(x)sin(-) +--R 2 2 2 +--R + +--R x 8 x 4 x 8 +--R (140cos(-) - 136cos(-) + 12)cot(x)sin(-) +--R 2 2 2 +--R + +--R x 10 x 6 x 2 x 6 +--R (112cos(-) - 224cos(-) - 80cos(-) )cot(x)sin(-) +--R 2 2 2 2 +--R + +--R x 12 x 8 x 4 x 4 +--R (56cos(-) - 136cos(-) + 328cos(-) + 8)cot(x)sin(-) +--R 2 2 2 2 +--R + +--R x 14 x 10 x 6 x 2 x 2 +--R (16cos(-) - 16cos(-) - 80cos(-) - 48cos(-) )cot(x)sin(-) +--R 2 2 2 2 2 +--R + +--R x 16 x 12 x 8 x 4 +--R (2cos(-) + 8cos(-) + 12cos(-) + 8cos(-) + 2)cot(x) +--R 2 2 2 2 +--R * +--R log(cos(x)) +--R + +--R x 16 x 2 x 14 +--R cot(x)sin(-) + 8cos(-) cot(x)sin(-) +--R 2 2 2 +--R + +--R x 4 x 12 +--R (28cos(-) + 4)cot(x)sin(-) +--R 2 2 +--R + +--R x 6 x 2 x 10 +--R (56cos(-) - 8cos(-) )cot(x)sin(-) +--R 2 2 2 +--R + +--R x 8 x 4 x 8 +--R (70cos(-) - 68cos(-) + 6)cot(x)sin(-) +--R 2 2 2 +--R + +--R x 10 x 6 x 2 x 6 +--R (56cos(-) - 112cos(-) - 40cos(-) )cot(x)sin(-) +--R 2 2 2 2 +--R + +--R x 12 x 8 x 4 x 4 +--R (28cos(-) - 68cos(-) + 164cos(-) + 4)cot(x)sin(-) +--R 2 2 2 2 +--R + +--R x 14 x 10 x 6 x 2 x 2 +--R (8cos(-) - 8cos(-) - 40cos(-) - 24cos(-) )cot(x)sin(-) +--R 2 2 2 2 2 +--R + +--R x 16 x 12 x 8 x 4 +--R (cos(-) + 4cos(-) + 6cos(-) + 4cos(-) + 1)cot(x) +--R 2 2 2 2 +--R * +--R 2 +--R tan(x) +--R * +--R +---------+ +--R | 2 +--R \|- tan(x) +--R + +--R x 16 x 2 x 14 x 4 x 12 +--R 2sin(-) + 16cos(-) sin(-) + (56cos(-) + 8)sin(-) +--R 2 2 2 2 2 +--R + +--R x 6 x 2 x 10 +--R (112cos(-) - 16cos(-) )sin(-) +--R 2 2 2 +--R + +--R x 8 x 4 x 8 +--R (140cos(-) - 136cos(-) + 12)sin(-) +--R 2 2 2 +--R + +--R x 10 x 6 x 2 x 6 +--R (112cos(-) - 224cos(-) - 80cos(-) )sin(-) +--R 2 2 2 2 +--R + +--R x 12 x 8 x 4 x 4 +--R (56cos(-) - 136cos(-) + 328cos(-) + 8)sin(-) +--R 2 2 2 2 +--R + +--R x 14 x 10 x 6 x 2 x 2 x 16 +--R (16cos(-) - 16cos(-) - 80cos(-) - 48cos(-) )sin(-) + 2cos(-) +--R 2 2 2 2 2 2 +--R + +--R x 12 x 8 x 4 +--R 8cos(-) + 12cos(-) + 8cos(-) + 2 +--R 2 2 2 +--R * +--R x x 3 x 3 x x +--R 2cos(-)sin(-) + (2cos(-) - 2cos(-))sin(-) +--R 2 2 2 2 2 +--R atan(-------------------------------------------) +--R x 4 x 2 x 4 x 2 +--R sin(-) - sin(-) - cos(-) - 3cos(-) +--R 2 2 2 2 +--R + +--R x x 11 x 3 x 9 x 5 x 7 +--R - 16cos(-)sin(-) - 48cos(-) sin(-) - 32cos(-) sin(-) +--R 2 2 2 2 2 2 +--R + +--R x 7 x 5 x 9 x x 3 +--R 32cos(-) sin(-) + (48cos(-) + 16cos(-))sin(-) +--R 2 2 2 2 2 +--R + +--R x 11 x 3 x +--R (16cos(-) - 16cos(-) )sin(-) +--R 2 2 2 +--R / +--R x 16 x 2 x 14 x 4 x 12 +--R 2sin(-) + 16cos(-) sin(-) + (56cos(-) + 8)sin(-) +--R 2 2 2 2 2 +--R + +--R x 6 x 2 x 10 x 8 x 4 x 8 +--R (112cos(-) - 16cos(-) )sin(-) + (140cos(-) - 136cos(-) + 12)sin(-) +--R 2 2 2 2 2 2 +--R + +--R x 10 x 6 x 2 x 6 +--R (112cos(-) - 224cos(-) - 80cos(-) )sin(-) +--R 2 2 2 2 +--R + +--R x 12 x 8 x 4 x 4 +--R (56cos(-) - 136cos(-) + 328cos(-) + 8)sin(-) +--R 2 2 2 2 +--R + +--R x 14 x 10 x 6 x 2 x 2 x 16 +--R (16cos(-) - 16cos(-) - 80cos(-) - 48cos(-) )sin(-) + 2cos(-) +--R 2 2 2 2 2 2 +--R + +--R x 12 x 8 x 4 +--R 8cos(-) + 12cos(-) + 8cos(-) + 2 +--R 2 2 2 +--R Type: Expression Integer +--E 127 + +--S 128 of 528 +d0323:= D(m0323,x) +--R +--R +--R (126) +--R x 30 x 2 x 28 +--R - 2cos(x)sin(-) + (- 30cos(-) + 4)cos(x)sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 x 26 +--R (- 210cos(-) + 48cos(-) - 6)cos(x)sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 x 24 +--R (- 910cos(-) + 260cos(-) - 38cos(-) + 8)cos(x)sin(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R (- 2730cos(-) + 832cos(-) - 20cos(-) - 80cos(-) - 18)cos(x) +--R 2 2 2 2 +--R * +--R x 22 +--R sin(-) +--R 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 6006cos(-) + 1716cos(-) + 572cos(-) - 320cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 586cos(-) + 28 +--R 2 +--R * +--R x 20 +--R cos(x)sin(-) +--R 2 +--R + +--R x 12 x 10 x 8 x 6 +--R - 10010cos(-) + 2288cos(-) + 2750cos(-) + 1040cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 2722cos(-) - 1248cos(-) - 54 +--R 2 2 +--R * +--R x 18 +--R cos(x)sin(-) +--R 2 +--R + +--R x 14 x 12 x 10 x 8 +--R - 12870cos(-) + 1716cos(-) + 6798cos(-) + 7624cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 1174cos(-) - 6348cos(-) + 978cos(-) + 80 +--R 2 2 2 +--R * +--R x 16 +--R cos(x)sin(-) +--R 2 +--R + +--R x 16 x 12 x 10 x 8 +--R - 12870cos(-) + 10824cos(-) + 17888cos(-) - 14900cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 6080cos(-) + 3432cos(-) - 672cos(-) - 86 +--R 2 2 2 +--R * +--R x 14 +--R cos(x)sin(-) +--R 2 +--R + +--R x 18 x 16 x 14 x 12 +--R - 10010cos(-) - 1716cos(-) + 11880cos(-) + 21952cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 39900cos(-) + 5016cos(-) + 9000cos(-) + 2656cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 262cos(-) + 92 +--R 2 +--R * +--R x 12 +--R cos(x)sin(-) +--R 2 +--R + +--R x 20 x 18 x 16 x 14 +--R - 6006cos(-) - 2288cos(-) + 9174cos(-) + 14624cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R - 47740cos(-) + 1408cos(-) + 17388cos(-) - 8736cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 3214cos(-) + 304cos(-) - 66 +--R 2 2 +--R * +--R x 10 +--R cos(x)sin(-) +--R 2 +--R + +--R x 22 x 20 x 18 x 16 +--R - 2730cos(-) - 1716cos(-) + 4950cos(-) + 4120cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 6 +--R - 29908cos(-) - 16152cos(-) + 19324cos(-) + 6942cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 4748cos(-) - 50cos(-) + 40 +--R 2 2 +--R * +--R x 8 +--R cos(x)sin(-) +--R 2 +--R + +--R x 24 x 22 x 20 x 18 +--R - 910cos(-) - 832cos(-) + 1804cos(-) - 656cos(-) +--R 2 2 2 2 +--R + +--R x 16 x 14 x 12 x 10 +--R - 8346cos(-) - 12864cos(-) + 14408cos(-) + 8736cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R - 17346cos(-) - 6272cos(-) - 3924cos(-) - 144cos(-) - 22 +--R 2 2 2 2 +--R * +--R x 6 +--R cos(x)sin(-) +--R 2 +--R + +--R x 26 x 24 x 22 x 20 +--R - 210cos(-) - 260cos(-) + 412cos(-) - 640cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 370cos(-) + 1036cos(-) + 8904cos(-) - 2656cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 x 2 +--R 3602cos(-) + 4532cos(-) + 6812cos(-) - 608cos(-) + 78cos(-) +--R 2 2 2 2 2 +--R + +--R 4 +--R * +--R x 4 +--R cos(x)sin(-) +--R 2 +--R + +--R x 28 x 26 x 24 x 22 x 20 +--R - 30cos(-) - 48cos(-) + 50cos(-) - 48cos(-) + 698cos(-) +--R 2 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 2400cos(-) + 3226cos(-) + 672cos(-) - 1242cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 1200cos(-) - 3658cos(-) + 528cos(-) + 190cos(-) - 2 +--R 2 2 2 2 +--R * +--R x 2 +--R cos(x)sin(-) +--R 2 +--R + +--R x 30 x 28 x 26 x 24 x 22 +--R - 2cos(-) - 4cos(-) + 2cos(-) + 24cos(-) + 94cos(-) +--R 2 2 2 2 2 +--R + +--R x 20 x 18 x 16 x 14 x 12 +--R 36cos(-) + 194cos(-) - 80cos(-) + 74cos(-) - 156cos(-) +--R 2 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 x 2 +--R - 74cos(-) - 72cos(-) - 38cos(-) - 4cos(-) + 6cos(-) +--R 2 2 2 2 2 +--R * +--R cos(x) +--R * +--R +---------+ +--R | 2 +--R \|- tan(x) +--R + +--R x 30 x 2 x 28 +--R - 2cos(x)cot(x)sin(-) + (- 30cos(-) + 4)cos(x)cot(x)sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 x 26 +--R (- 210cos(-) + 72cos(-) - 14)cos(x)cot(x)sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 x 24 +--R (- 910cos(-) + 540cos(-) - 102cos(-) + 24)cos(x)cot(x)sin(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R (- 2730cos(-) + 2320cos(-) - 228cos(-) + 192cos(-) - 42) +--R 2 2 2 2 +--R * +--R x 22 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 6006cos(-) + 6468cos(-) + 220cos(-) - 240cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 78cos(-) + 60 +--R 2 +--R * +--R x 20 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 12 x 10 x 8 x 6 +--R - 10010cos(-) + 12408cos(-) + 2310cos(-) - 5376cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 282cos(-) + 72cos(-) - 70 +--R 2 2 +--R * +--R x 18 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 14 x 12 x 10 x 8 +--R - 12870cos(-) + 16764cos(-) + 5742cos(-) - 19320cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 1422cos(-) - 1764cos(-) + 90cos(-) + 80 +--R 2 2 2 +--R * +--R x 16 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 16 x 14 x 12 +--R - 12870cos(-) + 15840cos(-) + 7656cos(-) +--R 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 34176cos(-) + 4188cos(-) + 5856cos(-) + 744cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 192cos(-) - 70 +--R 2 +--R * +--R x 14 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 18 x 16 x 14 x 12 +--R - 10010cos(-) + 9900cos(-) + 5544cos(-) - 32928cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 10164cos(-) + 31608cos(-) - 1144cos(-) - 1536cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 150cos(-) + 60 +--R 2 +--R * +--R x 12 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 20 x 18 x 16 x 14 +--R - 6006cos(-) + 3256cos(-) + 990cos(-) - 14592cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 16884cos(-) + 35376cos(-) - 13236cos(-) + 9024cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 1410cos(-) - 168cos(-) - 42 +--R 2 2 +--R * +--R x 10 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 22 x 20 x 18 x 16 +--R - 2730cos(-) - 396cos(-) - 2090cos(-) + 1704cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 17052cos(-) + 3096cos(-) - 25812cos(-) - 61920cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 9426cos(-) - 1452cos(-) + 30cos(-) + 24 +--R 2 2 2 +--R * +--R x 8 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 24 x 22 x 20 x 18 +--R - 910cos(-) - 1008cos(-) - 2244cos(-) + 4800cos(-) +--R 2 2 2 2 +--R + +--R x 16 x 14 x 12 x 10 +--R 9582cos(-) - 11808cos(-) - 17080cos(-) + 43968cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 +--R 39150cos(-) + 12432cos(-) + 1596cos(-) - 14 +--R 2 2 2 +--R * +--R x 6 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 26 x 24 x 22 x 20 +--R - 210cos(-) - 500cos(-) - 1092cos(-) + 1680cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 2298cos(-) - 2100cos(-) - 984cos(-) - 12160cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 12222cos(-) - 8796cos(-) - 8100cos(-) - 912cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 42cos(-) + 4 +--R 2 +--R * +--R x 4 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 28 x 26 x 24 x 20 +--R - 30cos(-) - 120cos(-) - 278cos(-) - 174cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 1224cos(-) + 1482cos(-) + 2496cos(-) + 3158cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 1944cos(-) + 2382cos(-) + 576cos(-) + 630cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 24cos(-) - 2 +--R 2 +--R * +--R x 2 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 30 x 28 x 26 x 24 +--R - 2cos(-) - 12cos(-) - 30cos(-) - 72cos(-) +--R 2 2 2 2 +--R + +--R x 22 x 20 x 18 x 16 +--R - 138cos(-) - 180cos(-) - 310cos(-) - 240cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R - 390cos(-) - 180cos(-) - 282cos(-) - 72cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 110cos(-) - 12cos(-) - 18cos(-) +--R 2 2 2 +--R * +--R cos(x)cot(x) +--R * +--R 3 +--R tan(x) +--R + +--R 2 x 30 +--R (2cos(x)cot(x) + 2cos(x))sin(-) +--R 2 +--R + +--R x 2 2 x 2 x 28 +--R ((30cos(-) - 4)cos(x)cot(x) + (30cos(-) - 4)cos(x))sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 2 +--R (210cos(-) - 72cos(-) + 14)cos(x)cot(x) +--R 2 2 +--R + +--R x 4 x 2 +--R (210cos(-) - 72cos(-) + 14)cos(x) +--R 2 2 +--R * +--R x 26 +--R sin(-) +--R 2 +--R + +--R x 6 x 4 x 2 2 +--R (910cos(-) - 540cos(-) + 102cos(-) - 24)cos(x)cot(x) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R (910cos(-) - 540cos(-) + 102cos(-) - 24)cos(x) +--R 2 2 2 +--R * +--R x 24 +--R sin(-) +--R 2 +--R + +--R x 8 x 6 x 4 x 2 +--R (2730cos(-) - 2320cos(-) + 228cos(-) - 192cos(-) + 42) +--R 2 2 2 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 8 x 6 x 4 x 2 +--R (2730cos(-) - 2320cos(-) + 228cos(-) - 192cos(-) + 42) +--R 2 2 2 2 +--R * +--R cos(x) +--R * +--R x 22 +--R sin(-) +--R 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 6006cos(-) - 6468cos(-) - 220cos(-) + 240cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 78cos(-) - 60 +--R 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 10 x 8 x 6 x 4 +--R 6006cos(-) - 6468cos(-) - 220cos(-) + 240cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 78cos(-) - 60 +--R 2 +--R * +--R cos(x) +--R * +--R x 20 +--R sin(-) +--R 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 10010cos(-) - 12408cos(-) - 2310cos(-) + 5376cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 282cos(-) - 72cos(-) + 70 +--R 2 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 12 x 10 x 8 x 6 +--R 10010cos(-) - 12408cos(-) - 2310cos(-) + 5376cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 282cos(-) - 72cos(-) + 70 +--R 2 2 +--R * +--R cos(x) +--R * +--R x 18 +--R sin(-) +--R 2 +--R + +--R x 14 x 12 x 10 +--R 12870cos(-) - 16764cos(-) - 5742cos(-) +--R 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R 19320cos(-) - 1422cos(-) + 1764cos(-) - 90cos(-) - 80 +--R 2 2 2 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 14 x 12 x 10 +--R 12870cos(-) - 16764cos(-) - 5742cos(-) +--R 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R 19320cos(-) - 1422cos(-) + 1764cos(-) - 90cos(-) - 80 +--R 2 2 2 2 +--R * +--R cos(x) +--R * +--R x 16 +--R sin(-) +--R 2 +--R + +--R x 16 x 14 x 12 +--R 12870cos(-) - 15840cos(-) - 7656cos(-) +--R 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 34176cos(-) - 4188cos(-) - 5856cos(-) - 744cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 192cos(-) + 70 +--R 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 16 x 14 x 12 +--R 12870cos(-) - 15840cos(-) - 7656cos(-) +--R 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 34176cos(-) - 4188cos(-) - 5856cos(-) - 744cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 192cos(-) + 70 +--R 2 +--R * +--R cos(x) +--R * +--R x 14 +--R sin(-) +--R 2 +--R + +--R x 18 x 16 x 14 +--R 10010cos(-) - 9900cos(-) - 5544cos(-) +--R 2 2 2 +--R + +--R x 12 x 10 x 8 +--R 32928cos(-) - 10164cos(-) - 31608cos(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 1144cos(-) + 1536cos(-) - 150cos(-) - 60 +--R 2 2 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 18 x 16 x 14 +--R 10010cos(-) - 9900cos(-) - 5544cos(-) +--R 2 2 2 +--R + +--R x 12 x 10 x 8 +--R 32928cos(-) - 10164cos(-) - 31608cos(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 1144cos(-) + 1536cos(-) - 150cos(-) - 60 +--R 2 2 2 +--R * +--R cos(x) +--R * +--R x 12 +--R sin(-) +--R 2 +--R + +--R x 20 x 18 x 16 x 14 +--R 6006cos(-) - 3256cos(-) - 990cos(-) + 14592cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 +--R - 16884cos(-) - 35376cos(-) + 13236cos(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 9024cos(-) - 1410cos(-) + 168cos(-) + 42 +--R 2 2 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 20 x 18 x 16 x 14 +--R 6006cos(-) - 3256cos(-) - 990cos(-) + 14592cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 +--R - 16884cos(-) - 35376cos(-) + 13236cos(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 9024cos(-) - 1410cos(-) + 168cos(-) + 42 +--R 2 2 2 +--R * +--R cos(x) +--R * +--R x 10 +--R sin(-) +--R 2 +--R + +--R x 22 x 20 x 18 x 16 +--R 2730cos(-) + 396cos(-) + 2090cos(-) - 1704cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 +--R - 17052cos(-) - 3096cos(-) + 25812cos(-) +--R 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R 61920cos(-) + 9426cos(-) + 1452cos(-) - 30cos(-) - 24 +--R 2 2 2 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 22 x 20 x 18 x 16 +--R 2730cos(-) + 396cos(-) + 2090cos(-) - 1704cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 +--R - 17052cos(-) - 3096cos(-) + 25812cos(-) +--R 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R 61920cos(-) + 9426cos(-) + 1452cos(-) - 30cos(-) - 24 +--R 2 2 2 2 +--R * +--R cos(x) +--R * +--R x 8 +--R sin(-) +--R 2 +--R + +--R x 24 x 22 x 20 x 18 +--R 910cos(-) + 1008cos(-) + 2244cos(-) - 4800cos(-) +--R 2 2 2 2 +--R + +--R x 16 x 14 x 12 +--R - 9582cos(-) + 11808cos(-) + 17080cos(-) +--R 2 2 2 +--R + +--R x 10 x 8 x 6 +--R - 43968cos(-) - 39150cos(-) - 12432cos(-) +--R 2 2 2 +--R + +--R x 4 +--R - 1596cos(-) + 14 +--R 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 24 x 22 x 20 x 18 +--R 910cos(-) + 1008cos(-) + 2244cos(-) - 4800cos(-) +--R 2 2 2 2 +--R + +--R x 16 x 14 x 12 +--R - 9582cos(-) + 11808cos(-) + 17080cos(-) +--R 2 2 2 +--R + +--R x 10 x 8 x 6 +--R - 43968cos(-) - 39150cos(-) - 12432cos(-) +--R 2 2 2 +--R + +--R x 4 +--R - 1596cos(-) + 14 +--R 2 +--R * +--R cos(x) +--R * +--R x 6 +--R sin(-) +--R 2 +--R + +--R x 26 x 24 x 22 x 20 +--R 210cos(-) + 500cos(-) + 1092cos(-) - 1680cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 +--R - 2298cos(-) + 2100cos(-) + 984cos(-) +--R 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 12160cos(-) + 12222cos(-) + 8796cos(-) + 8100cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 912cos(-) + 42cos(-) - 4 +--R 2 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 26 x 24 x 22 x 20 +--R 210cos(-) + 500cos(-) + 1092cos(-) - 1680cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 +--R - 2298cos(-) + 2100cos(-) + 984cos(-) +--R 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 12160cos(-) + 12222cos(-) + 8796cos(-) + 8100cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 912cos(-) + 42cos(-) - 4 +--R 2 2 +--R * +--R cos(x) +--R * +--R x 4 +--R sin(-) +--R 2 +--R + +--R x 28 x 26 x 24 x 20 +--R 30cos(-) + 120cos(-) + 278cos(-) + 174cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 +--R - 1224cos(-) - 1482cos(-) - 2496cos(-) +--R 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R - 3158cos(-) - 1944cos(-) - 2382cos(-) - 576cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 630cos(-) - 24cos(-) + 2 +--R 2 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 28 x 26 x 24 x 20 +--R 30cos(-) + 120cos(-) + 278cos(-) + 174cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 +--R - 1224cos(-) - 1482cos(-) - 2496cos(-) +--R 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R - 3158cos(-) - 1944cos(-) - 2382cos(-) - 576cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 630cos(-) - 24cos(-) + 2 +--R 2 2 +--R * +--R cos(x) +--R * +--R x 2 +--R sin(-) +--R 2 +--R + +--R x 30 x 28 x 26 x 24 +--R 2cos(-) + 12cos(-) + 30cos(-) + 72cos(-) +--R 2 2 2 2 +--R + +--R x 22 x 20 x 18 x 16 +--R 138cos(-) + 180cos(-) + 310cos(-) + 240cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 390cos(-) + 180cos(-) + 282cos(-) + 72cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 110cos(-) + 12cos(-) + 18cos(-) +--R 2 2 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 30 x 28 x 26 x 24 +--R 2cos(-) + 12cos(-) + 30cos(-) + 72cos(-) +--R 2 2 2 2 +--R + +--R x 22 x 20 x 18 x 16 +--R 138cos(-) + 180cos(-) + 310cos(-) + 240cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 390cos(-) + 180cos(-) + 282cos(-) + 72cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 110cos(-) + 12cos(-) + 18cos(-) +--R 2 2 2 +--R * +--R cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R x 30 x 2 x 28 +--R - 2cos(x)cot(x)sin(-) + (- 30cos(-) + 4)cos(x)cot(x)sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 x 26 +--R (- 210cos(-) + 72cos(-) - 14)cos(x)cot(x)sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 x 24 +--R (- 910cos(-) + 540cos(-) - 102cos(-) + 24)cos(x)cot(x)sin(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R (- 2730cos(-) + 2320cos(-) - 228cos(-) + 192cos(-) - 42) +--R 2 2 2 2 +--R * +--R x 22 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 6006cos(-) + 6468cos(-) + 220cos(-) - 240cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 78cos(-) + 60 +--R 2 +--R * +--R x 20 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 12 x 10 x 8 x 6 +--R - 10010cos(-) + 12408cos(-) + 2310cos(-) - 5376cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 282cos(-) + 72cos(-) - 70 +--R 2 2 +--R * +--R x 18 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 14 x 12 x 10 x 8 +--R - 12870cos(-) + 16764cos(-) + 5742cos(-) - 19320cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 1422cos(-) - 1764cos(-) + 90cos(-) + 80 +--R 2 2 2 +--R * +--R x 16 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 16 x 14 x 12 +--R - 12870cos(-) + 15840cos(-) + 7656cos(-) +--R 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 34176cos(-) + 4188cos(-) + 5856cos(-) + 744cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 192cos(-) - 70 +--R 2 +--R * +--R x 14 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 18 x 16 x 14 x 12 +--R - 10010cos(-) + 9900cos(-) + 5544cos(-) - 32928cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 10164cos(-) + 31608cos(-) - 1144cos(-) - 1536cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 150cos(-) + 60 +--R 2 +--R * +--R x 12 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 20 x 18 x 16 x 14 +--R - 6006cos(-) + 3256cos(-) + 990cos(-) - 14592cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 16884cos(-) + 35376cos(-) - 13236cos(-) + 9024cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 1410cos(-) - 168cos(-) - 42 +--R 2 2 +--R * +--R x 10 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 22 x 20 x 18 x 16 +--R - 2730cos(-) - 396cos(-) - 2090cos(-) + 1704cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 17052cos(-) + 3096cos(-) - 25812cos(-) - 61920cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 9426cos(-) - 1452cos(-) + 30cos(-) + 24 +--R 2 2 2 +--R * +--R x 8 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 24 x 22 x 20 x 18 +--R - 910cos(-) - 1008cos(-) - 2244cos(-) + 4800cos(-) +--R 2 2 2 2 +--R + +--R x 16 x 14 x 12 x 10 +--R 9582cos(-) - 11808cos(-) - 17080cos(-) + 43968cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 +--R 39150cos(-) + 12432cos(-) + 1596cos(-) - 14 +--R 2 2 2 +--R * +--R x 6 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 26 x 24 x 22 x 20 +--R - 210cos(-) - 500cos(-) - 1092cos(-) + 1680cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 2298cos(-) - 2100cos(-) - 984cos(-) - 12160cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 12222cos(-) - 8796cos(-) - 8100cos(-) - 912cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 42cos(-) + 4 +--R 2 +--R * +--R x 4 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 28 x 26 x 24 x 20 +--R - 30cos(-) - 120cos(-) - 278cos(-) - 174cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 1224cos(-) + 1482cos(-) + 2496cos(-) + 3158cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 1944cos(-) + 2382cos(-) + 576cos(-) + 630cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 24cos(-) - 2 +--R 2 +--R * +--R x 2 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 30 x 28 x 26 x 24 +--R - 2cos(-) - 12cos(-) - 30cos(-) - 72cos(-) +--R 2 2 2 2 +--R + +--R x 22 x 20 x 18 x 16 +--R - 138cos(-) - 180cos(-) - 310cos(-) - 240cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R - 390cos(-) - 180cos(-) - 282cos(-) - 72cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 110cos(-) - 12cos(-) - 18cos(-) +--R 2 2 2 +--R * +--R cos(x)cot(x) +--R * +--R tan(x) +--R * +--R log(cos(x)) +--R + +--R x 30 x 2 x 28 +--R - 3cos(x)cot(x)sin(-) + (- 45cos(-) + 6)cos(x)cot(x)sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 x 26 +--R (- 315cos(-) + 108cos(-) - 21)cos(x)cot(x)sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 x 24 +--R (- 1365cos(-) + 810cos(-) - 153cos(-) + 36)cos(x)cot(x)sin(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R (- 4095cos(-) + 3480cos(-) - 342cos(-) + 288cos(-) - 63)cos(x) +--R 2 2 2 2 +--R * +--R x 22 +--R cot(x)sin(-) +--R 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 9009cos(-) + 9702cos(-) + 330cos(-) - 360cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 117cos(-) + 90 +--R 2 +--R * +--R x 20 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 12 x 10 x 8 x 6 +--R - 15015cos(-) + 18612cos(-) + 3465cos(-) - 8064cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 423cos(-) + 108cos(-) - 105 +--R 2 2 +--R * +--R x 18 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 14 x 12 x 10 x 8 +--R - 19305cos(-) + 25146cos(-) + 8613cos(-) - 28980cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 2133cos(-) - 2646cos(-) + 135cos(-) + 120 +--R 2 2 2 +--R * +--R x 16 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 16 x 14 x 12 x 10 +--R - 19305cos(-) + 23760cos(-) + 11484cos(-) - 51264cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R 6282cos(-) + 8784cos(-) + 1116cos(-) - 288cos(-) - 105 +--R 2 2 2 2 +--R * +--R x 14 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 18 x 16 x 14 x 12 +--R - 15015cos(-) + 14850cos(-) + 8316cos(-) - 49392cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 15246cos(-) + 47412cos(-) - 1716cos(-) - 2304cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 225cos(-) + 90 +--R 2 +--R * +--R x 12 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 20 x 18 x 16 x 14 +--R - 9009cos(-) + 4884cos(-) + 1485cos(-) - 21888cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 25326cos(-) + 53064cos(-) - 19854cos(-) + 13536cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 2115cos(-) - 252cos(-) - 63 +--R 2 2 +--R * +--R x 10 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 22 x 20 x 18 x 16 +--R - 4095cos(-) - 594cos(-) - 3135cos(-) + 2556cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 25578cos(-) + 4644cos(-) - 38718cos(-) - 92880cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 14139cos(-) - 2178cos(-) + 45cos(-) + 36 +--R 2 2 2 +--R * +--R x 8 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 24 x 22 x 20 x 18 +--R - 1365cos(-) - 1512cos(-) - 3366cos(-) + 7200cos(-) +--R 2 2 2 2 +--R + +--R x 16 x 14 x 12 x 10 +--R 14373cos(-) - 17712cos(-) - 25620cos(-) + 65952cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 +--R 58725cos(-) + 18648cos(-) + 2394cos(-) - 21 +--R 2 2 2 +--R * +--R x 6 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 26 x 24 x 22 x 20 +--R - 315cos(-) - 750cos(-) - 1638cos(-) + 2520cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 3447cos(-) - 3150cos(-) - 1476cos(-) - 18240cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 18333cos(-) - 13194cos(-) - 12150cos(-) - 1368cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 63cos(-) + 6 +--R 2 +--R * +--R x 4 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 28 x 26 x 24 x 20 +--R - 45cos(-) - 180cos(-) - 417cos(-) - 261cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 1836cos(-) + 2223cos(-) + 3744cos(-) + 4737cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 x 2 +--R 2916cos(-) + 3573cos(-) + 864cos(-) + 945cos(-) + 36cos(-) +--R 2 2 2 2 2 +--R + +--R - 3 +--R * +--R x 2 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 30 x 28 x 26 x 24 x 22 +--R - 3cos(-) - 18cos(-) - 45cos(-) - 108cos(-) - 207cos(-) +--R 2 2 2 2 2 +--R + +--R x 20 x 18 x 16 x 14 +--R - 270cos(-) - 465cos(-) - 360cos(-) - 585cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 x 4 +--R - 270cos(-) - 423cos(-) - 108cos(-) - 165cos(-) - 18cos(-) +--R 2 2 2 2 2 +--R + +--R x 2 +--R - 27cos(-) +--R 2 +--R * +--R cos(x)cot(x) +--R * +--R 5 +--R tan(x) +--R + +--R 2 x 30 +--R (cos(x)cot(x) + cos(x))sin(-) +--R 2 +--R + +--R x 2 2 x 2 x 28 +--R ((15cos(-) - 2)cos(x)cot(x) + (15cos(-) - 2)cos(x))sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 2 +--R (105cos(-) - 36cos(-) + 7)cos(x)cot(x) +--R 2 2 +--R + +--R x 4 x 2 +--R (105cos(-) - 36cos(-) + 7)cos(x) +--R 2 2 +--R * +--R x 26 +--R sin(-) +--R 2 +--R + +--R x 6 x 4 x 2 2 +--R (455cos(-) - 270cos(-) + 51cos(-) - 12)cos(x)cot(x) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R (455cos(-) - 270cos(-) + 51cos(-) - 12)cos(x) +--R 2 2 2 +--R * +--R x 24 +--R sin(-) +--R 2 +--R + +--R x 8 x 6 x 4 x 2 +--R (1365cos(-) - 1160cos(-) + 114cos(-) - 96cos(-) + 21)cos(x) +--R 2 2 2 2 +--R * +--R 2 +--R cot(x) +--R + +--R x 8 x 6 x 4 x 2 +--R (1365cos(-) - 1160cos(-) + 114cos(-) - 96cos(-) + 21)cos(x) +--R 2 2 2 2 +--R * +--R x 22 +--R sin(-) +--R 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 3003cos(-) - 3234cos(-) - 110cos(-) + 120cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 39cos(-) - 30 +--R 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 10 x 8 x 6 x 4 +--R 3003cos(-) - 3234cos(-) - 110cos(-) + 120cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 39cos(-) - 30 +--R 2 +--R * +--R cos(x) +--R * +--R x 20 +--R sin(-) +--R 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 5005cos(-) - 6204cos(-) - 1155cos(-) + 2688cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 141cos(-) - 36cos(-) + 35 +--R 2 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 12 x 10 x 8 x 6 +--R 5005cos(-) - 6204cos(-) - 1155cos(-) + 2688cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 141cos(-) - 36cos(-) + 35 +--R 2 2 +--R * +--R cos(x) +--R * +--R x 18 +--R sin(-) +--R 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 6435cos(-) - 8382cos(-) - 2871cos(-) + 9660cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 711cos(-) + 882cos(-) - 45cos(-) - 40 +--R 2 2 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 14 x 12 x 10 x 8 +--R 6435cos(-) - 8382cos(-) - 2871cos(-) + 9660cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 711cos(-) + 882cos(-) - 45cos(-) - 40 +--R 2 2 2 +--R * +--R cos(x) +--R * +--R x 16 +--R sin(-) +--R 2 +--R + +--R x 16 x 14 x 12 x 10 +--R 6435cos(-) - 7920cos(-) - 3828cos(-) + 17088cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R - 2094cos(-) - 2928cos(-) - 372cos(-) + 96cos(-) + 35 +--R 2 2 2 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 16 x 14 x 12 x 10 +--R 6435cos(-) - 7920cos(-) - 3828cos(-) + 17088cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R - 2094cos(-) - 2928cos(-) - 372cos(-) + 96cos(-) + 35 +--R 2 2 2 2 +--R * +--R cos(x) +--R * +--R x 14 +--R sin(-) +--R 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 5005cos(-) - 4950cos(-) - 2772cos(-) + 16464cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 5082cos(-) - 15804cos(-) + 572cos(-) + 768cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 75cos(-) - 30 +--R 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 18 x 16 x 14 x 12 +--R 5005cos(-) - 4950cos(-) - 2772cos(-) + 16464cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 5082cos(-) - 15804cos(-) + 572cos(-) + 768cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 75cos(-) - 30 +--R 2 +--R * +--R cos(x) +--R * +--R x 12 +--R sin(-) +--R 2 +--R + +--R x 20 x 18 x 16 x 14 +--R 3003cos(-) - 1628cos(-) - 495cos(-) + 7296cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R - 8442cos(-) - 17688cos(-) + 6618cos(-) - 4512cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 705cos(-) + 84cos(-) + 21 +--R 2 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 20 x 18 x 16 x 14 +--R 3003cos(-) - 1628cos(-) - 495cos(-) + 7296cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R - 8442cos(-) - 17688cos(-) + 6618cos(-) - 4512cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 705cos(-) + 84cos(-) + 21 +--R 2 2 +--R * +--R cos(x) +--R * +--R x 10 +--R sin(-) +--R 2 +--R + +--R x 22 x 20 x 18 x 16 +--R 1365cos(-) + 198cos(-) + 1045cos(-) - 852cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R - 8526cos(-) - 1548cos(-) + 12906cos(-) + 30960cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 4713cos(-) + 726cos(-) - 15cos(-) - 12 +--R 2 2 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 22 x 20 x 18 x 16 +--R 1365cos(-) + 198cos(-) + 1045cos(-) - 852cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R - 8526cos(-) - 1548cos(-) + 12906cos(-) + 30960cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 4713cos(-) + 726cos(-) - 15cos(-) - 12 +--R 2 2 2 +--R * +--R cos(x) +--R * +--R x 8 +--R sin(-) +--R 2 +--R + +--R x 24 x 22 x 20 x 18 +--R 455cos(-) + 504cos(-) + 1122cos(-) - 2400cos(-) +--R 2 2 2 2 +--R + +--R x 16 x 14 x 12 x 10 +--R - 4791cos(-) + 5904cos(-) + 8540cos(-) - 21984cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 +--R - 19575cos(-) - 6216cos(-) - 798cos(-) + 7 +--R 2 2 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 24 x 22 x 20 x 18 +--R 455cos(-) + 504cos(-) + 1122cos(-) - 2400cos(-) +--R 2 2 2 2 +--R + +--R x 16 x 14 x 12 x 10 +--R - 4791cos(-) + 5904cos(-) + 8540cos(-) - 21984cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 +--R - 19575cos(-) - 6216cos(-) - 798cos(-) + 7 +--R 2 2 2 +--R * +--R cos(x) +--R * +--R x 6 +--R sin(-) +--R 2 +--R + +--R x 26 x 24 x 22 x 20 +--R 105cos(-) + 250cos(-) + 546cos(-) - 840cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R - 1149cos(-) + 1050cos(-) + 492cos(-) + 6080cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 6111cos(-) + 4398cos(-) + 4050cos(-) + 456cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 21cos(-) - 2 +--R 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 26 x 24 x 22 x 20 +--R 105cos(-) + 250cos(-) + 546cos(-) - 840cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R - 1149cos(-) + 1050cos(-) + 492cos(-) + 6080cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 6111cos(-) + 4398cos(-) + 4050cos(-) + 456cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 21cos(-) - 2 +--R 2 +--R * +--R cos(x) +--R * +--R x 4 +--R sin(-) +--R 2 +--R + +--R x 28 x 26 x 24 x 20 +--R 15cos(-) + 60cos(-) + 139cos(-) + 87cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R - 612cos(-) - 741cos(-) - 1248cos(-) - 1579cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 972cos(-) - 1191cos(-) - 288cos(-) - 315cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 12cos(-) + 1 +--R 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 28 x 26 x 24 x 20 +--R 15cos(-) + 60cos(-) + 139cos(-) + 87cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R - 612cos(-) - 741cos(-) - 1248cos(-) - 1579cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 972cos(-) - 1191cos(-) - 288cos(-) - 315cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 12cos(-) + 1 +--R 2 +--R * +--R cos(x) +--R * +--R x 2 +--R sin(-) +--R 2 +--R + +--R x 30 x 28 x 26 x 24 x 22 +--R cos(-) + 6cos(-) + 15cos(-) + 36cos(-) + 69cos(-) +--R 2 2 2 2 2 +--R + +--R x 20 x 18 x 16 x 14 x 12 +--R 90cos(-) + 155cos(-) + 120cos(-) + 195cos(-) + 90cos(-) +--R 2 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 x 2 +--R 141cos(-) + 36cos(-) + 55cos(-) + 6cos(-) + 9cos(-) +--R 2 2 2 2 2 +--R * +--R 2 +--R cos(x)cot(x) +--R + +--R x 30 x 28 x 26 x 24 x 22 +--R cos(-) + 6cos(-) + 15cos(-) + 36cos(-) + 69cos(-) +--R 2 2 2 2 2 +--R + +--R x 20 x 18 x 16 x 14 x 12 +--R 90cos(-) + 155cos(-) + 120cos(-) + 195cos(-) + 90cos(-) +--R 2 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 x 2 +--R 141cos(-) + 36cos(-) + 55cos(-) + 6cos(-) + 9cos(-) +--R 2 2 2 2 2 +--R * +--R cos(x) +--R * +--R 4 +--R tan(x) +--R + +--R x 30 x 2 x 28 +--R - 3cos(x)cot(x)sin(-) + (- 45cos(-) + 6)cos(x)cot(x)sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 x 26 +--R (- 315cos(-) + 108cos(-) - 21)cos(x)cot(x)sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 x 24 +--R (- 1365cos(-) + 810cos(-) - 153cos(-) + 36)cos(x)cot(x)sin(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R (- 4095cos(-) + 3480cos(-) - 342cos(-) + 288cos(-) - 63)cos(x) +--R 2 2 2 2 +--R * +--R x 22 +--R cot(x)sin(-) +--R 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 9009cos(-) + 9702cos(-) + 330cos(-) - 360cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 117cos(-) + 90 +--R 2 +--R * +--R x 20 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 12 x 10 x 8 x 6 +--R - 15015cos(-) + 18612cos(-) + 3465cos(-) - 8064cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 423cos(-) + 108cos(-) - 105 +--R 2 2 +--R * +--R x 18 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 14 x 12 x 10 x 8 +--R - 19305cos(-) + 25146cos(-) + 8613cos(-) - 28980cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 2133cos(-) - 2646cos(-) + 135cos(-) + 120 +--R 2 2 2 +--R * +--R x 16 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 16 x 14 x 12 x 10 +--R - 19305cos(-) + 23760cos(-) + 11484cos(-) - 51264cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R 6282cos(-) + 8784cos(-) + 1116cos(-) - 288cos(-) - 105 +--R 2 2 2 2 +--R * +--R x 14 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 18 x 16 x 14 x 12 +--R - 15015cos(-) + 14850cos(-) + 8316cos(-) - 49392cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 15246cos(-) + 47412cos(-) - 1716cos(-) - 2304cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 225cos(-) + 90 +--R 2 +--R * +--R x 12 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 20 x 18 x 16 x 14 +--R - 9009cos(-) + 4884cos(-) + 1485cos(-) - 21888cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 25326cos(-) + 53064cos(-) - 19854cos(-) + 13536cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 2115cos(-) - 252cos(-) - 63 +--R 2 2 +--R * +--R x 10 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 22 x 20 x 18 x 16 +--R - 4095cos(-) - 594cos(-) - 3135cos(-) + 2556cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 25578cos(-) + 4644cos(-) - 38718cos(-) - 92880cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 14139cos(-) - 2178cos(-) + 45cos(-) + 36 +--R 2 2 2 +--R * +--R x 8 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 24 x 22 x 20 x 18 +--R - 1365cos(-) - 1512cos(-) - 3366cos(-) + 7200cos(-) +--R 2 2 2 2 +--R + +--R x 16 x 14 x 12 x 10 +--R 14373cos(-) - 17712cos(-) - 25620cos(-) + 65952cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 +--R 58725cos(-) + 18648cos(-) + 2394cos(-) - 21 +--R 2 2 2 +--R * +--R x 6 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 26 x 24 x 22 x 20 +--R - 315cos(-) - 750cos(-) - 1638cos(-) + 2520cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 3447cos(-) - 3150cos(-) - 1476cos(-) - 18240cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 18333cos(-) - 13194cos(-) - 12150cos(-) - 1368cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 63cos(-) + 6 +--R 2 +--R * +--R x 4 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 28 x 26 x 24 x 20 +--R - 45cos(-) - 180cos(-) - 417cos(-) - 261cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 1836cos(-) + 2223cos(-) + 3744cos(-) + 4737cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 x 2 +--R 2916cos(-) + 3573cos(-) + 864cos(-) + 945cos(-) + 36cos(-) +--R 2 2 2 2 2 +--R + +--R - 3 +--R * +--R x 2 +--R cos(x)cot(x)sin(-) +--R 2 +--R + +--R x 30 x 28 x 26 x 24 x 22 +--R - 3cos(-) - 18cos(-) - 45cos(-) - 108cos(-) - 207cos(-) +--R 2 2 2 2 2 +--R + +--R x 20 x 18 x 16 x 14 +--R - 270cos(-) - 465cos(-) - 360cos(-) - 585cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 x 4 +--R - 270cos(-) - 423cos(-) - 108cos(-) - 165cos(-) - 18cos(-) +--R 2 2 2 2 2 +--R + +--R x 2 +--R - 27cos(-) +--R 2 +--R * +--R cos(x)cot(x) +--R * +--R 3 +--R tan(x) +--R + +--R x 30 x 2 x 28 +--R 2cot(x)sin(-) + (30cos(-) - 4)cot(x)sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 x 26 +--R (210cos(-) - 72cos(-) + 14)cot(x)sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 x 24 +--R (910cos(-) - 540cos(-) + 102cos(-) - 24)cot(x)sin(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R (2730cos(-) - 2320cos(-) + 228cos(-) - 192cos(-) + 42)cot(x) +--R 2 2 2 2 +--R * +--R x 22 +--R sin(-) +--R 2 +--R + +--R x 10 x 8 x 6 x 4 x 2 +--R 6006cos(-) - 6468cos(-) - 220cos(-) + 240cos(-) + 78cos(-) +--R 2 2 2 2 2 +--R + +--R - 60 +--R * +--R x 20 +--R cot(x)sin(-) +--R 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 10010cos(-) - 12408cos(-) - 2310cos(-) + 5376cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 282cos(-) - 72cos(-) + 70 +--R 2 2 +--R * +--R x 18 +--R cot(x)sin(-) +--R 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 12870cos(-) - 16764cos(-) - 5742cos(-) + 19320cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 1422cos(-) + 1764cos(-) - 90cos(-) - 80 +--R 2 2 2 +--R * +--R x 16 +--R cot(x)sin(-) +--R 2 +--R + +--R x 16 x 14 x 12 x 10 +--R 12870cos(-) - 15840cos(-) - 7656cos(-) + 34176cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R - 4188cos(-) - 5856cos(-) - 744cos(-) + 192cos(-) + 70 +--R 2 2 2 2 +--R * +--R x 14 +--R cot(x)sin(-) +--R 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 10010cos(-) - 9900cos(-) - 5544cos(-) + 32928cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 10164cos(-) - 31608cos(-) + 1144cos(-) + 1536cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 150cos(-) - 60 +--R 2 +--R * +--R x 12 +--R cot(x)sin(-) +--R 2 +--R + +--R x 20 x 18 x 16 x 14 +--R 6006cos(-) - 3256cos(-) - 990cos(-) + 14592cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R - 16884cos(-) - 35376cos(-) + 13236cos(-) - 9024cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 1410cos(-) + 168cos(-) + 42 +--R 2 2 +--R * +--R x 10 +--R cot(x)sin(-) +--R 2 +--R + +--R x 22 x 20 x 18 x 16 +--R 2730cos(-) + 396cos(-) + 2090cos(-) - 1704cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R - 17052cos(-) - 3096cos(-) + 25812cos(-) + 61920cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 9426cos(-) + 1452cos(-) - 30cos(-) - 24 +--R 2 2 2 +--R * +--R x 8 +--R cot(x)sin(-) +--R 2 +--R + +--R x 24 x 22 x 20 x 18 +--R 910cos(-) + 1008cos(-) + 2244cos(-) - 4800cos(-) +--R 2 2 2 2 +--R + +--R x 16 x 14 x 12 x 10 +--R - 9582cos(-) + 11808cos(-) + 17080cos(-) - 43968cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 +--R - 39150cos(-) - 12432cos(-) - 1596cos(-) + 14 +--R 2 2 2 +--R * +--R x 6 +--R cot(x)sin(-) +--R 2 +--R + +--R x 26 x 24 x 22 x 20 +--R 210cos(-) + 500cos(-) + 1092cos(-) - 1680cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R - 2298cos(-) + 2100cos(-) + 984cos(-) + 12160cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 12222cos(-) + 8796cos(-) + 8100cos(-) + 912cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 42cos(-) - 4 +--R 2 +--R * +--R x 4 +--R cot(x)sin(-) +--R 2 +--R + +--R x 28 x 26 x 24 x 20 +--R 30cos(-) + 120cos(-) + 278cos(-) + 174cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R - 1224cos(-) - 1482cos(-) - 2496cos(-) - 3158cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 1944cos(-) - 2382cos(-) - 576cos(-) - 630cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 24cos(-) + 2 +--R 2 +--R * +--R x 2 +--R cot(x)sin(-) +--R 2 +--R + +--R x 30 x 28 x 26 x 24 x 22 +--R 2cos(-) + 12cos(-) + 30cos(-) + 72cos(-) + 138cos(-) +--R 2 2 2 2 2 +--R + +--R x 20 x 18 x 16 x 14 +--R 180cos(-) + 310cos(-) + 240cos(-) + 390cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 x 4 +--R 180cos(-) + 282cos(-) + 72cos(-) + 110cos(-) + 12cos(-) +--R 2 2 2 2 2 +--R + +--R x 2 +--R 18cos(-) +--R 2 +--R * +--R cot(x) +--R * +--R 2 +--R sin(x)tan(x) +--R / +--R x 30 x 2 x 28 +--R 2cos(x)sin(-) + (30cos(-) - 4)cos(x)sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 x 26 +--R (210cos(-) - 72cos(-) + 14)cos(x)sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 x 24 +--R (910cos(-) - 540cos(-) + 102cos(-) - 24)cos(x)sin(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R (2730cos(-) - 2320cos(-) + 228cos(-) - 192cos(-) + 42)cos(x) +--R 2 2 2 2 +--R * +--R x 22 +--R sin(-) +--R 2 +--R + +--R x 10 x 8 x 6 x 4 x 2 +--R 6006cos(-) - 6468cos(-) - 220cos(-) + 240cos(-) + 78cos(-) +--R 2 2 2 2 2 +--R + +--R - 60 +--R * +--R x 20 +--R cos(x)sin(-) +--R 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 10010cos(-) - 12408cos(-) - 2310cos(-) + 5376cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 282cos(-) - 72cos(-) + 70 +--R 2 2 +--R * +--R x 18 +--R cos(x)sin(-) +--R 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 12870cos(-) - 16764cos(-) - 5742cos(-) + 19320cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 1422cos(-) + 1764cos(-) - 90cos(-) - 80 +--R 2 2 2 +--R * +--R x 16 +--R cos(x)sin(-) +--R 2 +--R + +--R x 16 x 14 x 12 x 10 +--R 12870cos(-) - 15840cos(-) - 7656cos(-) + 34176cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R - 4188cos(-) - 5856cos(-) - 744cos(-) + 192cos(-) + 70 +--R 2 2 2 2 +--R * +--R x 14 +--R cos(x)sin(-) +--R 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 10010cos(-) - 9900cos(-) - 5544cos(-) + 32928cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 10164cos(-) - 31608cos(-) + 1144cos(-) + 1536cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 150cos(-) - 60 +--R 2 +--R * +--R x 12 +--R cos(x)sin(-) +--R 2 +--R + +--R x 20 x 18 x 16 x 14 +--R 6006cos(-) - 3256cos(-) - 990cos(-) + 14592cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R - 16884cos(-) - 35376cos(-) + 13236cos(-) - 9024cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 1410cos(-) + 168cos(-) + 42 +--R 2 2 +--R * +--R x 10 +--R cos(x)sin(-) +--R 2 +--R + +--R x 22 x 20 x 18 x 16 +--R 2730cos(-) + 396cos(-) + 2090cos(-) - 1704cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R - 17052cos(-) - 3096cos(-) + 25812cos(-) + 61920cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 9426cos(-) + 1452cos(-) - 30cos(-) - 24 +--R 2 2 2 +--R * +--R x 8 +--R cos(x)sin(-) +--R 2 +--R + +--R x 24 x 22 x 20 x 18 +--R 910cos(-) + 1008cos(-) + 2244cos(-) - 4800cos(-) +--R 2 2 2 2 +--R + +--R x 16 x 14 x 12 x 10 +--R - 9582cos(-) + 11808cos(-) + 17080cos(-) - 43968cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 +--R - 39150cos(-) - 12432cos(-) - 1596cos(-) + 14 +--R 2 2 2 +--R * +--R x 6 +--R cos(x)sin(-) +--R 2 +--R + +--R x 26 x 24 x 22 x 20 +--R 210cos(-) + 500cos(-) + 1092cos(-) - 1680cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R - 2298cos(-) + 2100cos(-) + 984cos(-) + 12160cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 x 2 +--R 12222cos(-) + 8796cos(-) + 8100cos(-) + 912cos(-) + 42cos(-) +--R 2 2 2 2 2 +--R + +--R - 4 +--R * +--R x 4 +--R cos(x)sin(-) +--R 2 +--R + +--R x 28 x 26 x 24 x 20 x 18 +--R 30cos(-) + 120cos(-) + 278cos(-) + 174cos(-) - 1224cos(-) +--R 2 2 2 2 2 +--R + +--R x 16 x 14 x 12 x 10 +--R - 1482cos(-) - 2496cos(-) - 3158cos(-) - 1944cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R - 2382cos(-) - 576cos(-) - 630cos(-) - 24cos(-) + 2 +--R 2 2 2 2 +--R * +--R x 2 +--R cos(x)sin(-) +--R 2 +--R + +--R x 30 x 28 x 26 x 24 x 22 +--R 2cos(-) + 12cos(-) + 30cos(-) + 72cos(-) + 138cos(-) +--R 2 2 2 2 2 +--R + +--R x 20 x 18 x 16 x 14 x 12 +--R 180cos(-) + 310cos(-) + 240cos(-) + 390cos(-) + 180cos(-) +--R 2 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 x 2 +--R 282cos(-) + 72cos(-) + 110cos(-) + 12cos(-) + 18cos(-) +--R 2 2 2 2 2 +--R * +--R cos(x) +--R * +--R +---------+ +--R | 2 +--R \|- tan(x) +--R Type: Expression Integer +--E 128 + +--S 129 of 528 +t0324:= (-1+sec(x)^2)^(3/2) +--R +--R +--R +-----------+ +--R 2 | 2 +--R (127) (sec(x) - 1)\|sec(x) - 1 +--R Type: Expression Integer +--E 129 + +--S 130 of 528 +r0324:= 1/2*cot(x)*(tan(x)^2)^(1/2)*(2*log(cos(x))+tan(x)^2) +--R +--R +--R +-------+ +--R 2 | 2 +--R (2cot(x)log(cos(x)) + cot(x)tan(x) )\|tan(x) +--R (128) ---------------------------------------------- +--R 2 +--R Type: Expression Integer +--E 130 + +--S 131 of 528 +a0324:= integrate(t0324,x) +--R +--R +--R 2 2 2 2cos(x) 2 +--R 2cos(x) log(----------) - 2cos(x) log(- ----------) + cos(x) - 1 +--R cos(x) + 1 cos(x) + 1 +--R (129) ----------------------------------------------------------------- +--R 2 +--R 2cos(x) +--R Type: Union(Expression Integer,...) +--E 131 + +--S 132 of 528 +m0324:= a0324-r0324 +--R +--R +--R (130) +--R +-------+ +--R 2 2 2 | 2 +--R (- 2cos(x) cot(x)log(cos(x)) - cos(x) cot(x)tan(x) )\|tan(x) +--R + +--R 2 2 2 2cos(x) 2 +--R 2cos(x) log(----------) - 2cos(x) log(- ----------) + cos(x) - 1 +--R cos(x) + 1 cos(x) + 1 +--R / +--R 2 +--R 2cos(x) +--R Type: Expression Integer +--E 132 + +--S 133 of 528 +d0324:= D(m0324,x) +--R +--R +--R (131) +--R +-------+ +--R 2 | 2 +--R (2cos(x) - 2)sin(x)\|tan(x) +--R + +--R 3 3 3 2 3 2 +--R - 2cos(x) cot(x)tan(x) + (2cos(x) cot(x) + 2cos(x) )tan(x) +--R + +--R 3 +--R - 2cos(x) cot(x)tan(x) +--R * +--R log(cos(x)) +--R + +--R 3 5 3 2 3 4 +--R - 3cos(x) cot(x)tan(x) + (cos(x) cot(x) + cos(x) )tan(x) +--R + +--R 3 3 2 2 +--R - 3cos(x) cot(x)tan(x) + 2cos(x) cot(x)sin(x)tan(x) +--R / +--R +-------+ +--R 3 | 2 +--R 2cos(x) \|tan(x) +--R Type: Expression Integer +--E 133 + +--S 134 of 528 +t0325:= (-1-sec(x)^2)^(3/2) +--R +--R +--R +-------------+ +--R 2 | 2 +--R (132) (- sec(x) - 1)\|- sec(x) - 1 +--R Type: Expression Integer +--E 134 + +--S 135 of 528 +r0325:= -2*atan(cot(x)*(-2-tan(x)^2)^(1/2))+atanh(tan(x)/(-2-tan(x)^2)^(1/2))-1/2*tan(x)*(-2-tan(x)^2)^(1/2) +--R +--R +--R (133) +--R +-------------+ +--R tan(x) | 2 +--R 2atanh(----------------) - 4atan(cot(x)\|- tan(x) - 2 ) +--R +-------------+ +--R | 2 +--R \|- tan(x) - 2 +--R + +--R +-------------+ +--R | 2 +--R - tan(x)\|- tan(x) - 2 +--R / +--R 2 +--R Type: Expression Integer +--E 135 + +--S 136 of 528 +a0325:= integrate(t0325,x) +--R +--R +--R (134) +--R +---+ 6 +---+ 4 +--R +---+ x\|- 1 +---+ x\|- 1 +--R - 4\|- 1 (%e ) - 20\|- 1 (%e ) +--R + +--R +---+ 2 +--R +---+ x\|- 1 +---+ +--R - 28\|- 1 (%e ) - 12\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R 4\|- 1 (%e ) + 32\|- 1 (%e ) + 72\|- 1 (%e ) +--R + +--R +---+ 2 +--R +---+ x\|- 1 +---+ +--R 64\|- 1 (%e ) + 20\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +---+ +--R log(\|(%e ) + 6(%e ) + 1 - (%e ) + 2\|- 1 - 1) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R (- (%e ) - 5(%e ) - 7(%e ) - 3) +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R (%e ) + 8(%e ) + 18(%e ) + 16(%e ) + 5 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +--R log(\|(%e ) + 6(%e ) + 1 - (%e ) - 1) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R 4\|- 1 (%e ) + 20\|- 1 (%e ) + 28\|- 1 (%e ) +--R + +--R +---+ +--R 12\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R - 4\|- 1 (%e ) - 32\|- 1 (%e ) - 72\|- 1 (%e ) +--R + +--R +---+ 2 +--R +---+ x\|- 1 +---+ +--R - 64\|- 1 (%e ) - 20\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +---+ +--R log(\|(%e ) + 6(%e ) + 1 - (%e ) - 2\|- 1 - 1) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R ((%e ) + 5(%e ) + 7(%e ) + 3) +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R - (%e ) - 8(%e ) - 18(%e ) - 16(%e ) - 5 +--R * +--R log +--R +--------------------------------+ +--R +---+ 2 | +---+ 4 +---+ 2 +--R x\|- 1 | x\|- 1 x\|- 1 +--R (- 2(%e ) - 2)\|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R 2(%e ) + 8(%e ) - 2 +--R + +--R +--------------------------------+ +--R +---+ 2 | +---+ 4 +---+ 2 +---+ 4 +--R x\|- 1 | x\|- 1 x\|- 1 x\|- 1 +--R (- 8(%e ) - 8)\|(%e ) + 6(%e ) + 1 + 8(%e ) +--R + +--R +---+ 2 +--R x\|- 1 +--R 32(%e ) + 8 +--R / +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R (2(%e ) + 10(%e ) + 14(%e ) + 6) +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R - 2(%e ) - 16(%e ) - 36(%e ) - 32(%e ) - 10 +--R Type: Union(Expression Integer,...) +--E 136 + +--S 137 of 528 +m0325:= a0325-r0325 +--R +--R +--R (135) +--R +---+ 6 +---+ 4 +--R +---+ x\|- 1 +---+ x\|- 1 +--R - 4\|- 1 (%e ) - 20\|- 1 (%e ) +--R + +--R +---+ 2 +--R +---+ x\|- 1 +---+ +--R - 28\|- 1 (%e ) - 12\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R 4\|- 1 (%e ) + 32\|- 1 (%e ) + 72\|- 1 (%e ) +--R + +--R +---+ 2 +--R +---+ x\|- 1 +---+ +--R 64\|- 1 (%e ) + 20\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +---+ +--R log(\|(%e ) + 6(%e ) + 1 - (%e ) + 2\|- 1 - 1) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R (- (%e ) - 5(%e ) - 7(%e ) - 3) +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R (%e ) + 8(%e ) + 18(%e ) + 16(%e ) + 5 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +--R log(\|(%e ) + 6(%e ) + 1 - (%e ) - 1) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R 4\|- 1 (%e ) + 20\|- 1 (%e ) + 28\|- 1 (%e ) +--R + +--R +---+ +--R 12\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R - 4\|- 1 (%e ) - 32\|- 1 (%e ) - 72\|- 1 (%e ) +--R + +--R +---+ 2 +--R +---+ x\|- 1 +---+ +--R - 64\|- 1 (%e ) - 20\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +---+ +--R log(\|(%e ) + 6(%e ) + 1 - (%e ) - 2\|- 1 - 1) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R ((%e ) + 5(%e ) + 7(%e ) + 3) +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R - (%e ) - 8(%e ) - 18(%e ) - 16(%e ) - 5 +--R * +--R log +--R +--------------------------------+ +--R +---+ 2 | +---+ 4 +---+ 2 +--R x\|- 1 | x\|- 1 x\|- 1 +--R (- 2(%e ) - 2)\|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R 2(%e ) + 8(%e ) - 2 +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R (- 2(%e ) - 10(%e ) - 14(%e ) - 6) +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R 2(%e ) + 16(%e ) + 36(%e ) + 32(%e ) + 10 +--R * +--R tan(x) +--R atanh(----------------) +--R +-------------+ +--R | 2 +--R \|- tan(x) - 2 +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R (4(%e ) + 20(%e ) + 28(%e ) + 12) +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R - 4(%e ) - 32(%e ) - 72(%e ) - 64(%e ) - 20 +--R * +--R +-------------+ +--R | 2 +--R atan(cot(x)\|- tan(x) - 2 ) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R ((%e ) + 5(%e ) + 7(%e ) + 3)tan(x) +--R * +--R +-------------+ +--R | 2 +--R \|- tan(x) - 2 +--R + +--R +---+ 2 +--R x\|- 1 +--R - 8(%e ) - 8 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R (- (%e ) - 8(%e ) - 18(%e ) - 16(%e ) - 5) +--R * +--R +-------------+ +--R | 2 +--R tan(x)\|- tan(x) - 2 +--R + +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R 8(%e ) + 32(%e ) + 8 +--R / +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R (2(%e ) + 10(%e ) + 14(%e ) + 6) +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R - 2(%e ) - 16(%e ) - 36(%e ) - 32(%e ) - 10 +--R Type: Expression Integer +--E 137 + +--S 138 of 528 +d0325:= D(m0325,x) +--R +--R +--R (136) +--R +---+ 18 +---+ 16 +--R +---+ 2 x\|- 1 +---+ 2 x\|- 1 +--R \|- 1 cot(x) (%e ) + 27\|- 1 cot(x) (%e ) +--R + +--R +---+ 14 +--R +---+ 2 x\|- 1 +--R 302\|- 1 cot(x) (%e ) +--R + +--R +---+ 12 +--R +---+ 2 x\|- 1 +--R 1806\|- 1 cot(x) (%e ) +--R + +--R +---+ 10 +--R +---+ 2 x\|- 1 +--R 6216\|- 1 cot(x) (%e ) +--R + +--R +---+ 8 +--R +---+ 2 x\|- 1 +--R 12348\|- 1 cot(x) (%e ) +--R + +--R +---+ 6 +--R +---+ 2 x\|- 1 +--R 13482\|- 1 cot(x) (%e ) +--R + +--R +---+ 4 +---+ 2 +--R +---+ 2 x\|- 1 +---+ 2 x\|- 1 +--R 7290\|- 1 cot(x) (%e ) + 1663\|- 1 cot(x) (%e ) +--R + +--R +---+ 2 +--R 129\|- 1 cot(x) +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 18 +--R +---+ 2 +---+ x\|- 1 +--R (2\|- 1 cot(x) - \|- 1 )(%e ) +--R + +--R +---+ 16 +--R +---+ 2 +---+ x\|- 1 +--R (54\|- 1 cot(x) - 27\|- 1 )(%e ) +--R + +--R +---+ 14 +--R +---+ 2 +---+ x\|- 1 +--R (604\|- 1 cot(x) - 302\|- 1 )(%e ) +--R + +--R +---+ 12 +--R +---+ 2 +---+ x\|- 1 +--R (3612\|- 1 cot(x) - 1806\|- 1 )(%e ) +--R + +--R +---+ 10 +--R +---+ 2 +---+ x\|- 1 +--R (12432\|- 1 cot(x) - 6216\|- 1 )(%e ) +--R + +--R +---+ 8 +--R +---+ 2 +---+ x\|- 1 +--R (24696\|- 1 cot(x) - 12348\|- 1 )(%e ) +--R + +--R +---+ 6 +--R +---+ 2 +---+ x\|- 1 +--R (26964\|- 1 cot(x) - 13482\|- 1 )(%e ) +--R + +--R +---+ 4 +--R +---+ 2 +---+ x\|- 1 +--R (14580\|- 1 cot(x) - 7290\|- 1 )(%e ) +--R + +--R +---+ 2 +--R +---+ 2 +---+ x\|- 1 +---+ 2 +--R (3326\|- 1 cot(x) - 1663\|- 1 )(%e ) + 258\|- 1 cot(x) +--R + +--R +---+ +--R - 129\|- 1 +--R * +--R +-------------+ +--R | 2 +--R \|- tan(x) - 2 +--R + +--R +---+ 18 +---+ 16 +--R 2 x\|- 1 2 x\|- 1 +--R - cot(x) (%e ) - 21cot(x) (%e ) +--R + +--R +---+ 14 +---+ 12 +--R 2 x\|- 1 2 x\|- 1 +--R - 182cot(x) (%e ) - 850cot(x) (%e ) +--R + +--R +---+ 10 +---+ 8 +--R 2 x\|- 1 2 x\|- 1 +--R - 2352cot(x) (%e ) - 4004cot(x) (%e ) +--R + +--R +---+ 6 +---+ 4 +--R 2 x\|- 1 2 x\|- 1 +--R - 4210cot(x) (%e ) - 2646cot(x) (%e ) +--R + +--R +---+ 2 +--R 2 x\|- 1 2 +--R - 903cot(x) (%e ) - 127cot(x) +--R * +--R 6 +--R tan(x) +--R + +--R +---+ 18 +---+ 16 +--R 2 x\|- 1 2 x\|- 1 +--R (- 4cot(x) + 1)(%e ) + (- 84cot(x) + 21)(%e ) +--R + +--R +---+ 14 +--R 2 x\|- 1 +--R (- 728cot(x) + 182)(%e ) +--R + +--R +---+ 12 +--R 2 x\|- 1 +--R (- 3400cot(x) + 850)(%e ) +--R + +--R +---+ 10 +--R 2 x\|- 1 +--R (- 9408cot(x) + 2352)(%e ) +--R + +--R +---+ 8 +--R 2 x\|- 1 +--R (- 16016cot(x) + 4004)(%e ) +--R + +--R +---+ 6 +--R 2 x\|- 1 +--R (- 16840cot(x) + 4210)(%e ) +--R + +--R +---+ 4 +--R 2 x\|- 1 +--R (- 10584cot(x) + 2646)(%e ) +--R + +--R +---+ 2 +--R 2 x\|- 1 2 +--R (- 3612cot(x) + 903)(%e ) - 508cot(x) + 127 +--R * +--R 4 +--R tan(x) +--R + +--R +---+ 18 +---+ 16 +--R x\|- 1 x\|- 1 +--R 2cot(x)(%e ) + 42cot(x)(%e ) +--R + +--R +---+ 14 +---+ 12 +--R x\|- 1 x\|- 1 +--R 364cot(x)(%e ) + 1700cot(x)(%e ) +--R + +--R +---+ 10 +---+ 8 +--R x\|- 1 x\|- 1 +--R 4704cot(x)(%e ) + 8008cot(x)(%e ) +--R + +--R +---+ 6 +---+ 4 +--R x\|- 1 x\|- 1 +--R 8420cot(x)(%e ) + 5292cot(x)(%e ) +--R + +--R +---+ 2 +--R x\|- 1 +--R 1806cot(x)(%e ) + 254cot(x) +--R * +--R 3 +--R tan(x) +--R + +--R +---+ 18 +---+ 16 +--R 2 x\|- 1 2 x\|- 1 +--R - 8cot(x) (%e ) - 168cot(x) (%e ) +--R + +--R +---+ 14 +---+ 12 +--R 2 x\|- 1 2 x\|- 1 +--R - 1456cot(x) (%e ) - 6800cot(x) (%e ) +--R + +--R +---+ 10 +---+ 8 +--R 2 x\|- 1 2 x\|- 1 +--R - 18816cot(x) (%e ) - 32032cot(x) (%e ) +--R + +--R +---+ 6 +---+ 4 +--R 2 x\|- 1 2 x\|- 1 +--R - 33680cot(x) (%e ) - 21168cot(x) (%e ) +--R + +--R +---+ 2 +--R 2 x\|- 1 2 +--R - 7224cot(x) (%e ) - 1016cot(x) +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 18 +---+ 16 +--R x\|- 1 x\|- 1 +--R 2cot(x)(%e ) + 42cot(x)(%e ) +--R + +--R +---+ 14 +---+ 12 +--R x\|- 1 x\|- 1 +--R 364cot(x)(%e ) + 1700cot(x)(%e ) +--R + +--R +---+ 10 +---+ 8 +--R x\|- 1 x\|- 1 +--R 4704cot(x)(%e ) + 8008cot(x)(%e ) +--R + +--R +---+ 6 +---+ 4 +--R x\|- 1 x\|- 1 +--R 8420cot(x)(%e ) + 5292cot(x)(%e ) +--R + +--R +---+ 2 +--R x\|- 1 +--R 1806cot(x)(%e ) + 254cot(x) +--R * +--R tan(x) +--R + +--R +---+ 18 +---+ 16 +--R 2 x\|- 1 2 x\|- 1 +--R (- 8cot(x) - 2)(%e ) + (- 168cot(x) - 42)(%e ) +--R + +--R +---+ 14 +--R 2 x\|- 1 +--R (- 1456cot(x) - 364)(%e ) +--R + +--R +---+ 12 +--R 2 x\|- 1 +--R (- 6800cot(x) - 1700)(%e ) +--R + +--R +---+ 10 +--R 2 x\|- 1 +--R (- 18816cot(x) - 4704)(%e ) +--R + +--R +---+ 8 +--R 2 x\|- 1 +--R (- 32032cot(x) - 8008)(%e ) +--R + +--R +---+ 6 +--R 2 x\|- 1 +--R (- 33680cot(x) - 8420)(%e ) +--R + +--R +---+ 4 +--R 2 x\|- 1 +--R (- 21168cot(x) - 5292)(%e ) +--R + +--R +---+ 2 +--R 2 x\|- 1 2 +--R (- 7224cot(x) - 1806)(%e ) - 1016cot(x) - 254 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 20 +---+ 18 +--R +---+ 2 x\|- 1 +---+ 2 x\|- 1 +--R - \|- 1 cot(x) (%e ) - 30\|- 1 cot(x) (%e ) +--R + +--R +---+ 16 +---+ 14 +--R +---+ 2 x\|- 1 +---+ 2 x\|- 1 +--R - 379\|- 1 cot(x) (%e ) - 2616\|- 1 cot(x) (%e ) +--R + +--R +---+ 12 +--R +---+ 2 x\|- 1 +--R - 10706\|- 1 cot(x) (%e ) +--R + +--R +---+ 10 +--R +---+ 2 x\|- 1 +--R - 26388\|- 1 cot(x) (%e ) +--R + +--R +---+ 8 +---+ 6 +--R +---+ 2 x\|- 1 +---+ 2 x\|- 1 +--R - 38118\|- 1 cot(x) (%e ) - 30168\|- 1 cot(x) (%e ) +--R + +--R +---+ 4 +---+ 2 +--R +---+ 2 x\|- 1 +---+ 2 x\|- 1 +--R - 11789\|- 1 cot(x) (%e ) - 2046\|- 1 cot(x) (%e ) +--R + +--R +---+ 2 +--R - 127\|- 1 cot(x) +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 20 +--R +---+ 2 +---+ x\|- 1 +--R (- 2\|- 1 cot(x) + \|- 1 )(%e ) +--R + +--R +---+ 18 +--R +---+ 2 +---+ x\|- 1 +--R (- 60\|- 1 cot(x) + 30\|- 1 )(%e ) +--R + +--R +---+ 16 +--R +---+ 2 +---+ x\|- 1 +--R (- 758\|- 1 cot(x) + 379\|- 1 )(%e ) +--R + +--R +---+ 14 +--R +---+ 2 +---+ x\|- 1 +--R (- 5232\|- 1 cot(x) + 2616\|- 1 )(%e ) +--R + +--R +---+ 12 +--R +---+ 2 +---+ x\|- 1 +--R (- 21412\|- 1 cot(x) + 10706\|- 1 )(%e ) +--R + +--R +---+ 10 +--R +---+ 2 +---+ x\|- 1 +--R (- 52776\|- 1 cot(x) + 26388\|- 1 )(%e ) +--R + +--R +---+ 8 +--R +---+ 2 +---+ x\|- 1 +--R (- 76236\|- 1 cot(x) + 38118\|- 1 )(%e ) +--R + +--R +---+ 6 +--R +---+ 2 +---+ x\|- 1 +--R (- 60336\|- 1 cot(x) + 30168\|- 1 )(%e ) +--R + +--R +---+ 4 +--R +---+ 2 +---+ x\|- 1 +--R (- 23578\|- 1 cot(x) + 11789\|- 1 )(%e ) +--R + +--R +---+ 2 +--R +---+ 2 +---+ x\|- 1 +---+ 2 +--R (- 4092\|- 1 cot(x) + 2046\|- 1 )(%e ) - 254\|- 1 cot(x) +--R + +--R +---+ +--R 127\|- 1 +--R * +--R +-------------+ +--R | 2 +--R \|- tan(x) - 2 +--R + +--R +---+ 20 +---+ 18 +--R 2 x\|- 1 2 x\|- 1 +--R cot(x) (%e ) + 24cot(x) (%e ) +--R + +--R +---+ 16 +---+ 14 +--R 2 x\|- 1 2 x\|- 1 +--R 241cot(x) (%e ) + 1324cot(x) (%e ) +--R + +--R +---+ 12 +---+ 10 +--R 2 x\|- 1 2 x\|- 1 +--R 4382cot(x) (%e ) + 9100cot(x) (%e ) +--R + +--R +---+ 8 +---+ 6 +--R 2 x\|- 1 2 x\|- 1 +--R 11998cot(x) (%e ) + 9908cot(x) (%e ) +--R + +--R +---+ 4 +---+ 2 +--R 2 x\|- 1 2 x\|- 1 2 +--R 4881cot(x) (%e ) + 1276cot(x) (%e ) + 129cot(x) +--R * +--R 6 +--R tan(x) +--R + +--R +---+ 20 +---+ 18 +--R 2 x\|- 1 2 x\|- 1 +--R (4cot(x) - 1)(%e ) + (96cot(x) - 24)(%e ) +--R + +--R +---+ 16 +---+ 14 +--R 2 x\|- 1 2 x\|- 1 +--R (964cot(x) - 241)(%e ) + (5296cot(x) - 1324)(%e ) +--R + +--R +---+ 12 +--R 2 x\|- 1 +--R (17528cot(x) - 4382)(%e ) +--R + +--R +---+ 10 +--R 2 x\|- 1 +--R (36400cot(x) - 9100)(%e ) +--R + +--R +---+ 8 +--R 2 x\|- 1 +--R (47992cot(x) - 11998)(%e ) +--R + +--R +---+ 6 +---+ 4 +--R 2 x\|- 1 2 x\|- 1 +--R (39632cot(x) - 9908)(%e ) + (19524cot(x) - 4881)(%e ) +--R + +--R +---+ 2 +--R 2 x\|- 1 2 +--R (5104cot(x) - 1276)(%e ) + 516cot(x) - 129 +--R * +--R 4 +--R tan(x) +--R + +--R +---+ 20 +---+ 18 +--R x\|- 1 x\|- 1 +--R - 2cot(x)(%e ) - 48cot(x)(%e ) +--R + +--R +---+ 16 +---+ 14 +--R x\|- 1 x\|- 1 +--R - 482cot(x)(%e ) - 2648cot(x)(%e ) +--R + +--R +---+ 12 +---+ 10 +--R x\|- 1 x\|- 1 +--R - 8764cot(x)(%e ) - 18200cot(x)(%e ) +--R + +--R +---+ 8 +---+ 6 +--R x\|- 1 x\|- 1 +--R - 23996cot(x)(%e ) - 19816cot(x)(%e ) +--R + +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R - 9762cot(x)(%e ) - 2552cot(x)(%e ) - 258cot(x) +--R * +--R 3 +--R tan(x) +--R + +--R +---+ 20 +---+ 18 +--R 2 x\|- 1 2 x\|- 1 +--R 8cot(x) (%e ) + 192cot(x) (%e ) +--R + +--R +---+ 16 +---+ 14 +--R 2 x\|- 1 2 x\|- 1 +--R 1928cot(x) (%e ) + 10592cot(x) (%e ) +--R + +--R +---+ 12 +---+ 10 +--R 2 x\|- 1 2 x\|- 1 +--R 35056cot(x) (%e ) + 72800cot(x) (%e ) +--R + +--R +---+ 8 +---+ 6 +--R 2 x\|- 1 2 x\|- 1 +--R 95984cot(x) (%e ) + 79264cot(x) (%e ) +--R + +--R +---+ 4 +---+ 2 +--R 2 x\|- 1 2 x\|- 1 2 +--R 39048cot(x) (%e ) + 10208cot(x) (%e ) + 1032cot(x) +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 20 +---+ 18 +--R x\|- 1 x\|- 1 +--R - 2cot(x)(%e ) - 48cot(x)(%e ) +--R + +--R +---+ 16 +---+ 14 +--R x\|- 1 x\|- 1 +--R - 482cot(x)(%e ) - 2648cot(x)(%e ) +--R + +--R +---+ 12 +---+ 10 +--R x\|- 1 x\|- 1 +--R - 8764cot(x)(%e ) - 18200cot(x)(%e ) +--R + +--R +---+ 8 +---+ 6 +--R x\|- 1 x\|- 1 +--R - 23996cot(x)(%e ) - 19816cot(x)(%e ) +--R + +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R - 9762cot(x)(%e ) - 2552cot(x)(%e ) - 258cot(x) +--R * +--R tan(x) +--R + +--R +---+ 20 +---+ 18 +--R 2 x\|- 1 2 x\|- 1 +--R (8cot(x) + 2)(%e ) + (192cot(x) + 48)(%e ) +--R + +--R +---+ 16 +---+ 14 +--R 2 x\|- 1 2 x\|- 1 +--R (1928cot(x) + 482)(%e ) + (10592cot(x) + 2648)(%e ) +--R + +--R +---+ 12 +---+ 10 +--R 2 x\|- 1 2 x\|- 1 +--R (35056cot(x) + 8764)(%e ) + (72800cot(x) + 18200)(%e ) +--R + +--R +---+ 8 +---+ 6 +--R 2 x\|- 1 2 x\|- 1 +--R (95984cot(x) + 23996)(%e ) + (79264cot(x) + 19816)(%e ) +--R + +--R +---+ 4 +---+ 2 +--R 2 x\|- 1 2 x\|- 1 +--R (39048cot(x) + 9762)(%e ) + (10208cot(x) + 2552)(%e ) +--R + +--R 2 +--R 1032cot(x) + 258 +--R / +--R +---+ 18 +---+ 16 +--R 2 x\|- 1 2 x\|- 1 +--R cot(x) (%e ) + 21cot(x) (%e ) +--R + +--R +---+ 14 +---+ 12 +--R 2 x\|- 1 2 x\|- 1 +--R 182cot(x) (%e ) + 850cot(x) (%e ) +--R + +--R +---+ 10 +---+ 8 +--R 2 x\|- 1 2 x\|- 1 +--R 2352cot(x) (%e ) + 4004cot(x) (%e ) +--R + +--R +---+ 6 +---+ 4 +--R 2 x\|- 1 2 x\|- 1 +--R 4210cot(x) (%e ) + 2646cot(x) (%e ) +--R + +--R +---+ 2 +--R 2 x\|- 1 2 +--R 903cot(x) (%e ) + 127cot(x) +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 18 +---+ 16 +--R 2 x\|- 1 2 x\|- 1 +--R (2cot(x) - 1)(%e ) + (42cot(x) - 21)(%e ) +--R + +--R +---+ 14 +---+ 12 +--R 2 x\|- 1 2 x\|- 1 +--R (364cot(x) - 182)(%e ) + (1700cot(x) - 850)(%e ) +--R + +--R +---+ 10 +---+ 8 +--R 2 x\|- 1 2 x\|- 1 +--R (4704cot(x) - 2352)(%e ) + (8008cot(x) - 4004)(%e ) +--R + +--R +---+ 6 +---+ 4 +--R 2 x\|- 1 2 x\|- 1 +--R (8420cot(x) - 4210)(%e ) + (5292cot(x) - 2646)(%e ) +--R + +--R +---+ 2 +--R 2 x\|- 1 2 +--R (1806cot(x) - 903)(%e ) + 254cot(x) - 127 +--R * +--R +--------------------------------+ +--R +-------------+ | +---+ 4 +---+ 2 +--R | 2 | x\|- 1 x\|- 1 +--R \|- tan(x) - 2 \|(%e ) + 6(%e ) + 1 +--R + +--R +---+ 20 +---+ 18 +--R 2 x\|- 1 2 x\|- 1 +--R - cot(x) (%e ) - 24cot(x) (%e ) +--R + +--R +---+ 16 +---+ 14 +--R 2 x\|- 1 2 x\|- 1 +--R - 241cot(x) (%e ) - 1324cot(x) (%e ) +--R + +--R +---+ 12 +---+ 10 +--R 2 x\|- 1 2 x\|- 1 +--R - 4382cot(x) (%e ) - 9100cot(x) (%e ) +--R + +--R +---+ 8 +---+ 6 +--R 2 x\|- 1 2 x\|- 1 +--R - 11998cot(x) (%e ) - 9908cot(x) (%e ) +--R + +--R +---+ 4 +---+ 2 +--R 2 x\|- 1 2 x\|- 1 2 +--R - 4881cot(x) (%e ) - 1276cot(x) (%e ) - 129cot(x) +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 20 +---+ 18 +--R 2 x\|- 1 2 x\|- 1 +--R (- 2cot(x) + 1)(%e ) + (- 48cot(x) + 24)(%e ) +--R + +--R +---+ 16 +--R 2 x\|- 1 +--R (- 482cot(x) + 241)(%e ) +--R + +--R +---+ 14 +--R 2 x\|- 1 +--R (- 2648cot(x) + 1324)(%e ) +--R + +--R +---+ 12 +--R 2 x\|- 1 +--R (- 8764cot(x) + 4382)(%e ) +--R + +--R +---+ 10 +--R 2 x\|- 1 +--R (- 18200cot(x) + 9100)(%e ) +--R + +--R +---+ 8 +--R 2 x\|- 1 +--R (- 23996cot(x) + 11998)(%e ) +--R + +--R +---+ 6 +--R 2 x\|- 1 +--R (- 19816cot(x) + 9908)(%e ) +--R + +--R +---+ 4 +--R 2 x\|- 1 +--R (- 9762cot(x) + 4881)(%e ) +--R + +--R +---+ 2 +--R 2 x\|- 1 2 +--R (- 2552cot(x) + 1276)(%e ) - 258cot(x) + 129 +--R * +--R +-------------+ +--R | 2 +--R \|- tan(x) - 2 +--R Type: Expression Integer +--E 138 + +--S 139 of 528 +t0326:= (a+b*sec(x)^2)^(3/2) +--R +--R +--R +-------------+ +--R 2 | 2 +--R (137) (b sec(x) + a)\|b sec(x) + a +--R Type: Expression Integer +--E 139 + +--S 140 of 528 +r0326:= a^(3/2)*atan(a^(1/2)*tan(x)/(a+b*sec(x)^2)^(1/2))+3/2*a*b^(1/2)*atanh(cot(x)*(a+b*sec(x)^2)^(1/2)/b^(1/2))+1/2*b^(3/2)*atanh(cot(x)*(a+b*sec(x)^2)^(1/2)/b^(1/2))+1/2*b*(a+b*sec(x)^2)^(1/2)*tan(x) +--R +--R +--R (138) +--R +-------------+ +--R | 2 +-+ +--R +-+ cot(x)\|b sec(x) + a +-+ tan(x)\|a +--R (b + 3a)\|b atanh(----------------------) + 2a\|a atan(----------------) +--R +-+ +-------------+ +--R \|b | 2 +--R \|b sec(x) + a +--R + +--R +-------------+ +--R | 2 +--R b tan(x)\|b sec(x) + a +--R / +--R 2 +--R Type: Expression Integer +--E 140 + +--S 141 of 528 +a0326:= integrate(t0326,x) +--R +--R +--R (139) +--R [ +--R 2 6 2 5 +--R (4a b + 12a )cos(x) + (4a b + 12a )cos(x) +--R + +--R 2 4 2 3 +--R (2b + 6a b)cos(x) + (2b + 6a b)cos(x) +--R * +--R +---------------------+ +--R | 2 +--R +-+ +-+ | 4a cos(x) + 4b +--R \|a \|b |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 3 6 2 2 4 +--R (- 8a b - 24a )cos(x) + (- 8a b - 24a b)cos(x) +--R + +--R 3 2 2 +--R (- b - 3a b )cos(x) +--R * +--R +-+ +--R \|b +--R * +--R log +--R 4 9 4 8 3 7 +--R 128a cos(x) + 128a cos(x) + 256a b cos(x) +--R + +--R 3 6 2 2 5 2 2 4 +--R 256a b cos(x) + 160a b cos(x) + 160a b cos(x) +--R + +--R 3 3 3 2 4 4 +--R 32a b cos(x) + 32a b cos(x) + b cos(x) + b +--R * +--R +-+ +--R sin(x)\|b +--R + +--R 3 4 10 3 4 9 +--R (- 64a b + 64a )cos(x) + (- 64a b + 64a )cos(x) +--R + +--R 2 2 3 8 +--R (- 96a b + 224a b)cos(x) +--R + +--R 2 2 3 7 +--R (- 96a b + 224a b)cos(x) +--R + +--R 3 2 2 6 +--R (- 40a b + 232a b )cos(x) +--R + +--R 3 2 2 5 4 3 4 +--R (- 40a b + 232a b )cos(x) + (- 4b + 84a b )cos(x) +--R + +--R 4 3 3 4 2 4 +--R (- 4b + 84a b )cos(x) + 8b cos(x) + 8b cos(x) +--R * +--R +-+ +--R \|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 4 9 3 7 2 2 5 +--R - 256a cos(x) - 640a b cos(x) - 544a b cos(x) +--R + +--R 3 3 4 +--R - 176a b cos(x) - 16b cos(x) +--R * +--R +-+ +-+ +--R sin(x)\|a \|b +--R + +--R 4 5 10 3 2 4 8 +--R (128a b - 128a )cos(x) + (256a b - 512a b)cos(x) +--R + +--R 2 3 3 2 6 4 2 3 4 +--R (160a b - 672a b )cos(x) + (32a b - 352a b )cos(x) +--R + +--R 5 4 2 5 +--R (b - 65a b )cos(x) - 2b +--R / +--R 3 10 3 9 2 8 2 7 +--R 64a cos(x) + 64a cos(x) + 96a b cos(x) + 96a b cos(x) +--R + +--R 2 6 2 5 3 4 3 3 +--R 40a b cos(x) + 40a b cos(x) + 4b cos(x) + 4b cos(x) +--R * +--R +---------------------+ +--R | 2 +--R +-+ | 4a cos(x) + 4b +--R \|a |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 4 10 3 8 2 2 6 +--R - 128a cos(x) - 256a b cos(x) - 160a b cos(x) +--R + +--R 3 4 4 2 +--R - 32a b cos(x) - b cos(x) +--R + +--R 3 6 3 5 2 4 2 3 +--R (8a cos(x) + 8a cos(x) + 4a b cos(x) + 4a b cos(x) ) +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 6 2 4 2 2 +-+ +--R (- 16a cos(x) - 16a b cos(x) - 2a b cos(x) )\|a +--R * +--R atan +--R 3 2 +-+ +--R (4a cos(x) + 4a cos(x) + (b - a)cos(x) + b - a)sin(x)\|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 3 2 +--R (- 8a cos(x) + (- 6a b + 2a )cos(x))sin(x) +--R / +--R 4 3 2 +--R (4a cos(x) + 4a cos(x) + (b - 3a)cos(x) + (b - 3a)cos(x)) +--R * +--R +---------------------+ +--R | 2 +--R +-+ | 4a cos(x) + 4b +--R \|a |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 4 2 2 +--R - 8a cos(x) + (- 6a b + 6a )cos(x) + 4a b +--R + +--R 3 6 3 5 2 4 2 3 +--R (- 8a cos(x) - 8a cos(x) - 4a b cos(x) - 4a b cos(x) ) +--R * +--R sin(x) +--R atan(------) +--R cos(x) +--R + +--R 2 5 2 4 2 3 2 2 +--R 8a b cos(x) + 8a b cos(x) + 8a b cos(x) + 8a b cos(x) +--R + +--R 3 3 +--R b cos(x) + b +--R * +--R sin(x) +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 6 2 4 2 2 +-+ sin(x) +--R (16a cos(x) + 16a b cos(x) + 2a b cos(x) )\|a atan(------) +--R cos(x) +--R + +--R 2 5 2 3 3 +-+ +--R (- 16a b cos(x) - 24a b cos(x) - 8b cos(x))sin(x)\|a +--R / +--R 6 5 4 3 +-+ +--R (16a cos(x) + 16a cos(x) + 8b cos(x) + 8b cos(x) )\|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 6 4 2 2 +--R - 32a cos(x) - 32a b cos(x) - 4b cos(x) +--R , +--R +--R 3 6 3 5 2 4 2 3 +--R (8a cos(x) + 8a cos(x) + 4a b cos(x) + 4a b cos(x) ) +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 6 2 4 2 2 +-+ +--R (- 16a cos(x) - 16a b cos(x) - 2a b cos(x) )\|a +--R * +--R atan +--R 3 2 +-+ +--R (4a cos(x) + 4a cos(x) + (b - a)cos(x) + b - a)sin(x)\|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 3 2 +--R (- 8a cos(x) + (- 6a b + 2a )cos(x))sin(x) +--R / +--R 4 3 2 +--R (4a cos(x) + 4a cos(x) + (b - 3a)cos(x) + (b - 3a)cos(x)) +--R * +--R +---------------------+ +--R | 2 +--R +-+ | 4a cos(x) + 4b +--R \|a |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 4 2 2 +--R - 8a cos(x) + (- 6a b + 6a )cos(x) + 4a b +--R + +--R 2 6 2 5 +--R (- 8a b - 24a )cos(x) + (- 8a b - 24a )cos(x) +--R + +--R 2 4 2 3 +--R (- 4b - 12a b)cos(x) + (- 4b - 12a b)cos(x) +--R * +--R +---------------------+ +--R | 2 +--R +---+ +-+ | 4a cos(x) + 4b +--R \|- b \|a |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 3 6 2 2 4 +--R (16a b + 48a )cos(x) + (16a b + 48a b)cos(x) +--R + +--R 3 2 2 +--R (2b + 6a b )cos(x) +--R * +--R +---+ +--R \|- b +--R * +--R atan +--R +---------------------+ +--R | 2 +--R +---+ | 4a cos(x) + 4b +--R (cos(x) + 1)sin(x)\|- b |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R +---+ +-+ +--R - 2cos(x)sin(x)\|- b \|a +--R / +--R +---------------------+ +--R | 2 +--R 2 +-+ | 4a cos(x) + 4b 2 +--R (cos(x) + cos(x))\|a |--------------------- - 2a cos(x) - 2b +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 6 3 5 2 4 2 3 +--R (- 8a cos(x) - 8a cos(x) - 4a b cos(x) - 4a b cos(x) ) +--R * +--R sin(x) +--R atan(------) +--R cos(x) +--R + +--R 2 5 2 4 2 3 2 2 +--R 8a b cos(x) + 8a b cos(x) + 8a b cos(x) + 8a b cos(x) +--R + +--R 3 3 +--R b cos(x) + b +--R * +--R sin(x) +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 6 2 4 2 2 +-+ sin(x) +--R (16a cos(x) + 16a b cos(x) + 2a b cos(x) )\|a atan(------) +--R cos(x) +--R + +--R 2 5 2 3 3 +-+ +--R (- 16a b cos(x) - 24a b cos(x) - 8b cos(x))sin(x)\|a +--R / +--R 6 5 4 3 +-+ +--R (16a cos(x) + 16a cos(x) + 8b cos(x) + 8b cos(x) )\|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 6 4 2 2 +--R - 32a cos(x) - 32a b cos(x) - 4b cos(x) +--R ] +--R Type: Union(List Expression Integer,...) +--E 141 + +--S 142 of 528 +m0326a:= a0326.1-r0326 +--R +--R +--R (140) +--R 2 6 2 5 2 4 +--R (4a b + 12a )cos(x) + (4a b + 12a )cos(x) + (2b + 6a b)cos(x) +--R + +--R 2 3 +--R (2b + 6a b)cos(x) +--R * +--R +---------------------+ +--R | 2 +--R +-+ +-+ | 4a cos(x) + 4b +--R \|a \|b |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 3 6 2 2 4 +--R (- 8a b - 24a )cos(x) + (- 8a b - 24a b)cos(x) +--R + +--R 3 2 2 +--R (- b - 3a b )cos(x) +--R * +--R +-+ +--R \|b +--R * +--R log +--R 4 9 4 8 3 7 +--R 128a cos(x) + 128a cos(x) + 256a b cos(x) +--R + +--R 3 6 2 2 5 2 2 4 +--R 256a b cos(x) + 160a b cos(x) + 160a b cos(x) +--R + +--R 3 3 3 2 4 4 +--R 32a b cos(x) + 32a b cos(x) + b cos(x) + b +--R * +--R +-+ +--R sin(x)\|b +--R + +--R 3 4 10 3 4 9 +--R (- 64a b + 64a )cos(x) + (- 64a b + 64a )cos(x) +--R + +--R 2 2 3 8 2 2 3 7 +--R (- 96a b + 224a b)cos(x) + (- 96a b + 224a b)cos(x) +--R + +--R 3 2 2 6 +--R (- 40a b + 232a b )cos(x) +--R + +--R 3 2 2 5 4 3 4 +--R (- 40a b + 232a b )cos(x) + (- 4b + 84a b )cos(x) +--R + +--R 4 3 3 4 2 4 +--R (- 4b + 84a b )cos(x) + 8b cos(x) + 8b cos(x) +--R * +--R +-+ +--R \|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 4 9 3 7 2 2 5 +--R - 256a cos(x) - 640a b cos(x) - 544a b cos(x) +--R + +--R 3 3 4 +--R - 176a b cos(x) - 16b cos(x) +--R * +--R +-+ +-+ +--R sin(x)\|a \|b +--R + +--R 4 5 10 3 2 4 8 +--R (128a b - 128a )cos(x) + (256a b - 512a b)cos(x) +--R + +--R 2 3 3 2 6 4 2 3 4 +--R (160a b - 672a b )cos(x) + (32a b - 352a b )cos(x) +--R + +--R 5 4 2 5 +--R (b - 65a b )cos(x) - 2b +--R / +--R 3 10 3 9 2 8 2 7 +--R 64a cos(x) + 64a cos(x) + 96a b cos(x) + 96a b cos(x) +--R + +--R 2 6 2 5 3 4 3 3 +--R 40a b cos(x) + 40a b cos(x) + 4b cos(x) + 4b cos(x) +--R * +--R +---------------------+ +--R | 2 +--R +-+ | 4a cos(x) + 4b +--R \|a |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 4 10 3 8 2 2 6 +--R - 128a cos(x) - 256a b cos(x) - 160a b cos(x) +--R + +--R 3 4 4 2 +--R - 32a b cos(x) - b cos(x) +--R + +--R 2 6 2 5 +--R (- 8a b - 24a )cos(x) + (- 8a b - 24a )cos(x) +--R + +--R 2 4 2 3 +--R (- 4b - 12a b)cos(x) + (- 4b - 12a b)cos(x) +--R * +--R +---------------------+ +--R | 2 +--R +-+ +-+ | 4a cos(x) + 4b +--R \|a \|b |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 3 6 2 2 4 +--R (16a b + 48a )cos(x) + (16a b + 48a b)cos(x) +--R + +--R 3 2 2 +--R (2b + 6a b )cos(x) +--R * +--R +-+ +--R \|b +--R * +--R +-------------+ +--R | 2 +--R cot(x)\|b sec(x) + a +--R atanh(----------------------) +--R +-+ +--R \|b +--R + +--R 3 6 3 5 2 4 2 3 +--R (8a cos(x) + 8a cos(x) + 4a b cos(x) + 4a b cos(x) ) +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 6 2 4 2 2 +-+ +--R (- 16a cos(x) - 16a b cos(x) - 2a b cos(x) )\|a +--R * +--R atan +--R 3 2 +-+ +--R (4a cos(x) + 4a cos(x) + (b - a)cos(x) + b - a)sin(x)\|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 3 2 +--R (- 8a cos(x) + (- 6a b + 2a )cos(x))sin(x) +--R / +--R 4 3 2 +--R (4a cos(x) + 4a cos(x) + (b - 3a)cos(x) + (b - 3a)cos(x)) +--R * +--R +---------------------+ +--R | 2 +--R +-+ | 4a cos(x) + 4b +--R \|a |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 4 2 2 +--R - 8a cos(x) + (- 6a b + 6a )cos(x) + 4a b +--R + +--R 3 6 3 5 2 4 2 3 +--R (- 16a cos(x) - 16a cos(x) - 8a b cos(x) - 8a b cos(x) ) +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 6 2 4 2 2 +-+ +--R (32a cos(x) + 32a b cos(x) + 4a b cos(x) )\|a +--R * +--R +-+ +--R tan(x)\|a +--R atan(----------------) +--R +-------------+ +--R | 2 +--R \|b sec(x) + a +--R + +--R 6 5 2 4 2 3 +-+ +--R (- 8a b cos(x) - 8a b cos(x) - 4b cos(x) - 4b cos(x) )tan(x)\|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 6 2 4 3 2 +--R (16a b cos(x) + 16a b cos(x) + 2b cos(x) )tan(x) +--R * +--R +-------------+ +--R | 2 +--R \|b sec(x) + a +--R + +--R 3 6 3 5 2 4 2 3 sin(x) +--R (- 8a cos(x) - 8a cos(x) - 4a b cos(x) - 4a b cos(x) )atan(------) +--R cos(x) +--R + +--R 2 5 2 4 2 3 2 2 +--R 8a b cos(x) + 8a b cos(x) + 8a b cos(x) + 8a b cos(x) +--R + +--R 3 3 +--R b cos(x) + b +--R * +--R sin(x) +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 6 2 4 2 2 +-+ sin(x) +--R (16a cos(x) + 16a b cos(x) + 2a b cos(x) )\|a atan(------) +--R cos(x) +--R + +--R 2 5 2 3 3 +-+ +--R (- 16a b cos(x) - 24a b cos(x) - 8b cos(x))sin(x)\|a +--R / +--R 6 5 4 3 +-+ +--R (16a cos(x) + 16a cos(x) + 8b cos(x) + 8b cos(x) )\|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 6 4 2 2 +--R - 32a cos(x) - 32a b cos(x) - 4b cos(x) +--R Type: Expression Integer +--E 142 + +--S 143 of 528 +--d0326a:= D(m0326a,x) +--E 143 + +--S 144 of 528 +m0326b:= a0326.2-r0326 +--R +--R +--R (141) +--R 2 6 2 5 +--R (- 8a b - 24a )cos(x) + (- 8a b - 24a )cos(x) +--R + +--R 2 4 2 3 +--R (- 4b - 12a b)cos(x) + (- 4b - 12a b)cos(x) +--R * +--R +---------------------+ +--R | 2 +--R +-+ +-+ | 4a cos(x) + 4b +--R \|a \|b |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 3 6 2 2 4 +--R (16a b + 48a )cos(x) + (16a b + 48a b)cos(x) +--R + +--R 3 2 2 +--R (2b + 6a b )cos(x) +--R * +--R +-+ +--R \|b +--R * +--R +-------------+ +--R | 2 +--R cot(x)\|b sec(x) + a +--R atanh(----------------------) +--R +-+ +--R \|b +--R + +--R 3 6 3 5 2 4 2 3 +--R (8a cos(x) + 8a cos(x) + 4a b cos(x) + 4a b cos(x) ) +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 6 2 4 2 2 +-+ +--R (- 16a cos(x) - 16a b cos(x) - 2a b cos(x) )\|a +--R * +--R atan +--R 3 2 +-+ +--R (4a cos(x) + 4a cos(x) + (b - a)cos(x) + b - a)sin(x)\|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 3 2 +--R (- 8a cos(x) + (- 6a b + 2a )cos(x))sin(x) +--R / +--R 4 3 2 +--R (4a cos(x) + 4a cos(x) + (b - 3a)cos(x) + (b - 3a)cos(x)) +--R * +--R +---------------------+ +--R | 2 +--R +-+ | 4a cos(x) + 4b +--R \|a |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 4 2 2 +--R - 8a cos(x) + (- 6a b + 6a )cos(x) + 4a b +--R + +--R 2 6 2 5 +--R (- 8a b - 24a )cos(x) + (- 8a b - 24a )cos(x) +--R + +--R 2 4 2 3 +--R (- 4b - 12a b)cos(x) + (- 4b - 12a b)cos(x) +--R * +--R +---------------------+ +--R | 2 +--R +---+ +-+ | 4a cos(x) + 4b +--R \|- b \|a |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 3 6 2 2 4 +--R (16a b + 48a )cos(x) + (16a b + 48a b)cos(x) +--R + +--R 3 2 2 +--R (2b + 6a b )cos(x) +--R * +--R +---+ +--R \|- b +--R * +--R atan +--R +---------------------+ +--R | 2 +--R +---+ | 4a cos(x) + 4b +--R (cos(x) + 1)sin(x)\|- b |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R +---+ +-+ +--R - 2cos(x)sin(x)\|- b \|a +--R / +--R +---------------------+ +--R | 2 +--R 2 +-+ | 4a cos(x) + 4b 2 +--R (cos(x) + cos(x))\|a |--------------------- - 2a cos(x) - 2b +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 6 3 5 2 4 2 3 +--R (- 16a cos(x) - 16a cos(x) - 8a b cos(x) - 8a b cos(x) ) +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 6 2 4 2 2 +-+ +--R (32a cos(x) + 32a b cos(x) + 4a b cos(x) )\|a +--R * +--R +-+ +--R tan(x)\|a +--R atan(----------------) +--R +-------------+ +--R | 2 +--R \|b sec(x) + a +--R + +--R 6 5 2 4 2 3 +-+ +--R (- 8a b cos(x) - 8a b cos(x) - 4b cos(x) - 4b cos(x) )tan(x)\|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 6 2 4 3 2 +--R (16a b cos(x) + 16a b cos(x) + 2b cos(x) )tan(x) +--R * +--R +-------------+ +--R | 2 +--R \|b sec(x) + a +--R + +--R 3 6 3 5 2 4 2 3 sin(x) +--R (- 8a cos(x) - 8a cos(x) - 4a b cos(x) - 4a b cos(x) )atan(------) +--R cos(x) +--R + +--R 2 5 2 4 2 3 2 2 +--R 8a b cos(x) + 8a b cos(x) + 8a b cos(x) + 8a b cos(x) +--R + +--R 3 3 +--R b cos(x) + b +--R * +--R sin(x) +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 6 2 4 2 2 +-+ sin(x) +--R (16a cos(x) + 16a b cos(x) + 2a b cos(x) )\|a atan(------) +--R cos(x) +--R + +--R 2 5 2 3 3 +-+ +--R (- 16a b cos(x) - 24a b cos(x) - 8b cos(x))sin(x)\|a +--R / +--R 6 5 4 3 +-+ +--R (16a cos(x) + 16a cos(x) + 8b cos(x) + 8b cos(x) )\|a +--R * +--R +---------------------+ +--R | 2 +--R | 4a cos(x) + 4b +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 6 4 2 2 +--R - 32a cos(x) - 32a b cos(x) - 4b cos(x) +--R Type: Expression Integer +--E 144 + +--S 145 of 528 +--d0326b:= D(m0326b,x) +--E 145 + +--S 146 of 528 +t0327:= x/sec(x)^(3/2)-1/3*x*sec(x)^(1/2) +--R +--R +--R 2 +--R - x sec(x) + 3x +--R (142) ---------------- +--R +------+ +--R 3sec(x)\|sec(x) +--R Type: Expression Integer +--E 146 + +--S 147 of 528 +r0327:= 2/9*(2*cos(x)+3*x*sin(x))/(1/cos(x))^(1/2) +--R +--R +--R 6x sin(x) + 4cos(x) +--R (143) ------------------- +--R +------+ +--R | 1 +--R 9 |------ +--R \|cos(x) +--R Type: Expression Integer +--E 147 + +--S 148 of 528 +a0327:= integrate(t0327,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 148 + +--S 149 of 528 +m0327:= a0327-r0327 +--R +--R +--R +------+ +--R | 1 +--R 9a0327 |------ - 6x sin(x) - 4cos(x) +--R \|cos(x) +--R (144) ------------------------------------- +--R +------+ +--R | 1 +--R 9 |------ +--R \|cos(x) +--R Type: Expression Integer +--E 149 + +--S 150 of 528 +d0327:= D(m0327,x) +--R +--R +--R 2 2 +--R x sin(x) - 2x cos(x) +--R (145) ---------------------- +--R +------+ +--R | 1 +--R 3cos(x) |------ +--R \|cos(x) +--R Type: Expression Integer +--E 150 + +--S 151 of 528 +t0328:= x/sec(x)^(5/2)-3/5*x/sec(x)^(1/2) +--R +--R +--R 2 +--R - 3x sec(x) + 5x +--R (146) ----------------- +--R 2 +------+ +--R 5sec(x) \|sec(x) +--R Type: Expression Integer +--E 151 + +--S 152 of 528 +r0328:= 4/25/sec(x)^(5/2)+2/5*x*sin(x)/sec(x)^(3/2) +--R +--R +--R 10x sec(x)sin(x) + 4 +--R (147) -------------------- +--R 2 +------+ +--R 25sec(x) \|sec(x) +--R Type: Expression Integer +--E 152 + +--S 153 of 528 +a0328:= integrate(t0328,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 153 + +--S 154 of 528 +m0328:= a0328-r0328 +--R +--R +--R 2 +------+ +--R 25a0328 sec(x) \|sec(x) - 10x sec(x)sin(x) - 4 +--R (148) ----------------------------------------------- +--R 2 +------+ +--R 25sec(x) \|sec(x) +--R Type: Expression Integer +--E 154 + +--S 155 of 528 +d0328:= D(m0328,x) +--R +--R +--R (3x sec(x)sin(x) + 2)tan(x) - 2sec(x)sin(x) - 2x cos(x)sec(x) +--R (149) ------------------------------------------------------------- +--R 2 +------+ +--R 5sec(x) \|sec(x) +--R Type: Expression Integer +--E 155 + +--S 156 of 528 +t0329:= x/sec(x)^(7/2)-5/21*x*sec(x)^(1/2) +--R +--R +--R 4 +--R - 5x sec(x) + 21x +--R (150) ------------------ +--R 3 +------+ +--R 21sec(x) \|sec(x) +--R Type: Expression Integer +--E 156 + +--S 157 of 528 +r0329:= 2/441*(18*cos(x)^3+70*cos(x)+63*x*sin(x)*cos(x)^2+105*x*sin(x))/(1/cos(x))^(1/2) +--R +--R +--R 2 3 +--R (126x cos(x) + 210x)sin(x) + 36cos(x) + 140cos(x) +--R (151) --------------------------------------------------- +--R +------+ +--R | 1 +--R 441 |------ +--R \|cos(x) +--R Type: Expression Integer +--E 157 + +--S 158 of 528 +a0329:= integrate(t0329,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 158 + +--S 159 of 528 +m0329:= a0329-r0329 +--R +--R +--R (152) +--R +------+ +--R | 1 2 3 +--R 441a0329 |------ + (- 126x cos(x) - 210x)sin(x) - 36cos(x) - 140cos(x) +--R \|cos(x) +--R ------------------------------------------------------------------------- +--R +------+ +--R | 1 +--R 441 |------ +--R \|cos(x) +--R Type: Expression Integer +--E 159 + +--S 160 of 528 +d0329:= D(m0329,x) +--R +--R +--R 2 2 4 2 +--R (15x cos(x) + 5x)sin(x) - 6x cos(x) - 10x cos(x) +--R (153) ---------------------------------------------------- +--R +------+ +--R | 1 +--R 21cos(x) |------ +--R \|cos(x) +--R Type: Expression Integer +--E 160 + +--S 161 of 528 +t0330:= x^2/sec(x)^(3/2)-1/3*x^2*sec(x)^(1/2) +--R +--R +--R 2 2 2 +--R - x sec(x) + 3x +--R (154) ----------------- +--R +------+ +--R 3sec(x)\|sec(x) +--R Type: Expression Integer +--E 161 + +--S 162 of 528 +r0330:= 2/27*(12*x*cos(x)^(3/2)-8*EllipticF(1/2*x,2)-8*cos(x)^(1/2)*sin(x)+9*x^2*sin(x)*cos(x)^(1/2))/cos(x)^(1/2)/(1/cos(x))^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Polynomial Fraction Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 162 + +--S 163 of 528 +a0330:= integrate(t0330,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 163 + +--S 164 of 528 +m0330:= a0330-r0330 +--R +--R +--R (155) - r0330 + a0330 +--R Type: Polynomial Integer +--E 164 + +--S 165 of 528 +d0330:= D(m0330,x) +--R +--R +--R (156) 0 +--R Type: Polynomial Integer +--E 165 + +--S 166 of 528 +t0331:= sec(x^(1/2))/x^(1/2) +--R +--R +--R +-+ +--R sec(\|x ) +--R (157) --------- +--R +-+ +--R \|x +--R Type: Expression Integer +--E 166 + +--S 167 of 528 +r0331:= 2*atanh(sin(x^(1/2))) +--R +--R +--R +-+ +--R (158) 2atanh(sin(\|x )) +--R Type: Expression Integer +--E 167 + +--S 168 of 528 +a0331:= integrate(t0331,x) +--R +--R +--R +-+ +-+ +--R (159) log(sin(\|x ) + 1) - log(sin(\|x ) - 1) +--R Type: Union(Expression Integer,...) +--E 168 + +--S 169 of 528 +m0331:= a0331-r0331 +--R +--R +--R +-+ +-+ +-+ +--R (160) log(sin(\|x ) + 1) - log(sin(\|x ) - 1) - 2atanh(sin(\|x )) +--R Type: Expression Integer +--E 169 + +--S 170 of 528 +d0331:= D(m0331,x) +--R +--R +--R (161) 0 +--R Type: Expression Integer +--E 170 + +--S 171 of 528 +t0332:= csc(a+b*x) +--R +--R +--R (162) csc(b x + a) +--R Type: Expression Integer +--E 171 + +--S 172 of 528 +r0332:= -atanh(cos(a+b*x))/b +--R +--R +--R atanh(cos(b x + a)) +--R (163) - ------------------- +--R b +--R Type: Expression Integer +--E 172 + +--S 173 of 528 +a0332:= integrate(t0332,x) +--R +--R +--R sin(b x + a) +--R log(----------------) +--R cos(b x + a) + 1 +--R (164) --------------------- +--R b +--R Type: Union(Expression Integer,...) +--E 173 + +--S 174 of 528 +m0332:= a0332-r0332 +--R +--R +--R sin(b x + a) +--R log(----------------) + atanh(cos(b x + a)) +--R cos(b x + a) + 1 +--R (165) ------------------------------------------- +--R b +--R Type: Expression Integer +--E 174 + +--S 175 of 528 +d0332:= D(m0332,x) +--R +--R +--R 2 3 +--R cos(b x + a)sin(b x + a) + cos(b x + a) - cos(b x + a) +--R (166) -------------------------------------------------------- +--R 2 +--R (cos(b x + a) - 1)sin(b x + a) +--R Type: Expression Integer +--E 175 + +--S 176 of 528 +t0333:= csc(a+b*x)^3 +--R +--R +--R 3 +--R (167) csc(b x + a) +--R Type: Expression Integer +--E 176 + +--S 177 of 528 +r0333:= -1/2*atanh(cos(a+b*x))/b-1/2*cot(a+b*x)*csc(a+b*x)/b +--R +--R +--R - atanh(cos(b x + a)) - cot(b x + a)csc(b x + a) +--R (168) ------------------------------------------------ +--R 2b +--R Type: Expression Integer +--E 177 + +--S 178 of 528 +a0333:= integrate(t0333,x) +--R +--R +--R 2 sin(b x + a) +--R (cos(b x + a) - 1)log(----------------) + cos(b x + a) +--R cos(b x + a) + 1 +--R (169) ------------------------------------------------------- +--R 2 +--R 2b cos(b x + a) - 2b +--R Type: Union(Expression Integer,...) +--E 178 + +--S 179 of 528 +m0333:= a0333-r0333 +--R +--R +--R (170) +--R 2 sin(b x + a) +--R (cos(b x + a) - 1)log(----------------) +--R cos(b x + a) + 1 +--R + +--R 2 +--R (cos(b x + a) - 1)atanh(cos(b x + a)) +--R + +--R 2 +--R (cos(b x + a) - 1)cot(b x + a)csc(b x + a) + cos(b x + a) +--R / +--R 2 +--R 2b cos(b x + a) - 2b +--R Type: Expression Integer +--E 179 + +--S 180 of 528 +d0333:= D(m0333,x) +--R +--R +--R (171) +--R 3 2 2 +--R (cos(b x + a) + cos(b x + a) - cos(b x + a) + 1)sin(b x + a) +--R + +--R 4 2 2 4 +--R (- 2cos(b x + a) + 4cos(b x + a) - 2)cot(b x + a) - cos(b x + a) +--R + +--R 2 +--R 2cos(b x + a) - 1 +--R * +--R csc(b x + a)sin(b x + a) +--R + +--R 5 3 +--R cos(b x + a) - 2cos(b x + a) + cos(b x + a) +--R / +--R 4 2 +--R (2cos(b x + a) - 4cos(b x + a) + 2)sin(b x + a) +--R Type: Expression Integer +--E 180 + +--S 181 of 528 +t0334:= csc(a+b*x)^(1/2) +--R +--R +--R +------------+ +--R (172) \|csc(b x + a) +--R Type: Expression Integer +--E 181 + +--S 182 of 528 +r0334:= 2*csc(a+b*x)^(1/2)*EllipticF(1/2*a-1/4*%pi+1/2*b*x,2)*sin(a+b*x)^(1/2)/b +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 182 + +--S 183 of 528 +a0334:= integrate(t0334,x) +--R +--R +--R x +--R ++ +-------------+ +--R (173) | \|csc(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 183 + +--S 184 of 528 +m0334:= a0334-r0334 +--R +--R +--R x +--R ++ +-------------+ +--R (174) | \|csc(%R b + a) d%R - r0334 +--R ++ +--R Type: Expression Integer +--E 184 + +--S 185 of 528 +d0334:= D(m0334,x) +--R +--R +--R +------------+ +--R (175) \|csc(b x + a) +--R Type: Expression Integer +--E 185 + +--S 186 of 528 +t0335:= csc(a+b*x)^(3/2) +--R +--R +--R +------------+ +--R (176) csc(b x + a)\|csc(b x + a) +--R Type: Expression Integer +--E 186 + +--S 187 of 528 +r0335:= -2*(1/sin(a+b*x))^(1/2)*(cos(a+b*x)+EllipticE(1/2*a-1/4*%pi+1/2*b*x,2)*sin(a+b*x)^(1/2))/b +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 187 + +--S 188 of 528 +a0335:= integrate(t0335,x) +--R +--R +--R x +--R ++ +-------------+ +--R (177) | csc(%R b + a)\|csc(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 188 + +--S 189 of 528 +m0335:= a0335-r0335 +--R +--R +--R x +--R ++ +-------------+ +--R (178) | csc(%R b + a)\|csc(%R b + a) d%R - r0335 +--R ++ +--R Type: Expression Integer +--E 189 + +--S 190 of 528 +d0335:= D(m0335,x) +--R +--R +--R +------------+ +--R (179) csc(b x + a)\|csc(b x + a) +--R Type: Expression Integer +--E 190 + +--S 191 of 528 +t0336:= csc(a+b*x)^(5/2) +--R +--R +--R 2 +------------+ +--R (180) csc(b x + a) \|csc(b x + a) +--R Type: Expression Integer +--E 191 + +--S 192 of 528 +r0336:= 2/3*(1/sin(a+b*x))^(1/2)*(-cos(a+b*x)+EllipticF(1/2*a-1/4*%pi+1/2*b*x,2)*sin(a+b*x)^(3/2))/b/sin(a+b*x) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 192 + +--S 193 of 528 +a0336:= integrate(t0336,x) +--R +--R +--R x +--R ++ 2 +-------------+ +--R (181) | csc(%R b + a) \|csc(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 193 + +--S 194 of 528 +m0336:= a0336-r0336 +--R +--R +--R x +--R ++ 2 +-------------+ +--R (182) | csc(%R b + a) \|csc(%R b + a) d%R - r0336 +--R ++ +--R Type: Expression Integer +--E 194 + +--S 195 of 528 +d0336:= D(m0336,x) +--R +--R +--R 2 +------------+ +--R (183) csc(b x + a) \|csc(b x + a) +--R Type: Expression Integer +--E 195 + +--S 196 of 528 +t0337:= 1/csc(a+b*x)^(1/2) +--R +--R +--R 1 +--R (184) --------------- +--R +------------+ +--R \|csc(b x + a) +--R Type: Expression Integer +--E 196 + +--S 197 of 528 +r0337:= 2*csc(a+b*x)^(1/2)*EllipticE(1/2*a-1/4*%pi+1/2*b*x,2)*sin(a+b*x)^(1/2)/b +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 197 + +--S 198 of 528 +a0337:= integrate(t0337,x) +--R +--R +--R x +--R ++ 1 +--R (185) | ---------------- d%R +--R ++ +-------------+ +--R \|csc(%R b + a) +--R Type: Union(Expression Integer,...) +--E 198 + +--S 199 of 528 +m0337:= a0337-r0337 +--R +--R +--R x +--R ++ 1 +--R (186) | ---------------- d%R - r0337 +--R ++ +-------------+ +--R \|csc(%R b + a) +--R Type: Expression Integer +--E 199 + +--S 200 of 528 +d0337:= D(m0337,x) +--R +--R +--R 1 +--R (187) --------------- +--R +------------+ +--R \|csc(b x + a) +--R Type: Expression Integer +--E 200 + +--S 201 of 528 +t0338:= 1/csc(a+b*x)^(3/2) +--R +--R +--R 1 +--R (188) --------------------------- +--R +------------+ +--R csc(b x + a)\|csc(b x + a) +--R Type: Expression Integer +--E 201 + +--S 202 of 528 +r0338:= 2/3*(-cos(a+b*x)*sin(a+b*x)^(1/2)+EllipticF(1/2*a-1/4*%pi+1/2*b*x,2))/sin(a+b*x)^(1/2)/(1/sin(a+b*x))^(1/2)/b +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 202 + +--S 203 of 528 +a0338:= integrate(t0338,x) +--R +--R +--R x +--R ++ 1 +--R (189) | ----------------------------- d%R +--R ++ +-------------+ +--R csc(%R b + a)\|csc(%R b + a) +--R Type: Union(Expression Integer,...) +--E 203 + +--S 204 of 528 +m0338:= a0338-r0338 +--R +--R +--R x +--R ++ 1 +--R (190) | ----------------------------- d%R - r0338 +--R ++ +-------------+ +--R csc(%R b + a)\|csc(%R b + a) +--R Type: Expression Integer +--E 204 + +--S 205 of 528 +d0338:= D(m0338,x) +--R +--R +--R 1 +--R (191) --------------------------- +--R +------------+ +--R csc(b x + a)\|csc(b x + a) +--R Type: Expression Integer +--E 205 + +--S 206 of 528 +t0339:= 1/csc(a+b*x)^(5/2) +--R +--R +--R 1 +--R (192) ---------------------------- +--R 2 +------------+ +--R csc(b x + a) \|csc(b x + a) +--R Type: Expression Integer +--E 206 + +--S 207 of 528 +r0339:= 2/5*(-cos(a+b*x)*sin(a+b*x)^(3/2)+3*EllipticE(1/2*a-1/4*%pi+1/2*b*x,2))/sin(a+b*x)^(1/2)/(1/sin(a+b*x))^(1/2)/b +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 207 + +--S 208 of 528 +a0339:= integrate(t0339,x) +--R +--R +--R x +--R ++ 1 +--R (193) | ------------------------------ d%R +--R ++ 2 +-------------+ +--R csc(%R b + a) \|csc(%R b + a) +--R Type: Union(Expression Integer,...) +--E 208 + +--S 209 of 528 +m0339:= a0339-r0339 +--R +--R +--R x +--R ++ 1 +--R (194) | ------------------------------ d%R - r0339 +--R ++ 2 +-------------+ +--R csc(%R b + a) \|csc(%R b + a) +--R Type: Expression Integer +--E 209 + +--S 210 of 528 +d0339:= D(m0339,x) +--R +--R +--R 1 +--R (195) ---------------------------- +--R 2 +------------+ +--R csc(b x + a) \|csc(b x + a) +--R Type: Expression Integer +--E 210 + +--S 211 of 528 +t0340:= (c*csc(a+b*x))^(1/2) +--R +--R +--R +--------------+ +--R (196) \|c csc(b x + a) +--R Type: Expression Integer +--E 211 + +--S 212 of 528 +r0340:= 2*(c*csc(a+b*x))^(1/2)*EllipticF(1/2*a-1/4*%pi+1/2*b*x,2)*sin(a+b*x)^(1/2)/b +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 212 + +--S 213 of 528 +a0340:= integrate(t0340,x) +--R +--R +--R x +--R ++ +---------------+ +--R (197) | \|c csc(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 213 + +--S 214 of 528 +m0340:= a0340-r0340 +--R +--R +--R x +--R ++ +---------------+ +--R (198) | \|c csc(%R b + a) d%R - r0340 +--R ++ +--R Type: Expression Integer +--E 214 + +--S 215 of 528 +d0340:= D(m0340,x) +--R +--R +--R +--------------+ +--R (199) \|c csc(b x + a) +--R Type: Expression Integer +--E 215 + +--S 216 of 528 +t0341:= (c*csc(a+b*x))^(3/2) +--R +--R +--R +--------------+ +--R (200) c csc(b x + a)\|c csc(b x + a) +--R Type: Expression Integer +--E 216 + +--S 217 of 528 +r0341:= -2*c^2*(cos(a+b*x)+EllipticE(1/2*a-1/4*%pi+1/2*b*x,2)*sin(a+b*x)^(1/2))/sin(a+b*x)/(c/sin(a+b*x))^(1/2)/b +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 217 + +--S 218 of 528 +a0341:= integrate(t0341,x) +--R +--R +--R x +--R ++ +---------------+ +--R (201) | c csc(%R b + a)\|c csc(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 218 + +--S 219 of 528 +m0341:= a0341-r0341 +--R +--R +--R x +--R ++ +---------------+ +--R (202) | c csc(%R b + a)\|c csc(%R b + a) d%R - r0341 +--R ++ +--R Type: Expression Integer +--E 219 + +--S 220 of 528 +d0341:= D(m0341,x) +--R +--R +--R +--------------+ +--R (203) c csc(b x + a)\|c csc(b x + a) +--R Type: Expression Integer +--E 220 + +--S 221 of 528 +t0342:= (c*csc(a+b*x))^(5/2) +--R +--R +--R 2 2 +--------------+ +--R (204) c csc(b x + a) \|c csc(b x + a) +--R Type: Expression Integer +--E 221 + +--S 222 of 528 +r0342:= 2/3*c^2*(c/sin(a+b*x))^(1/2)*(-cos(a+b*x)+EllipticF(1/2*a-1/4*%pi+1/2*b*x,2)*sin(a+b*x)^(3/2))/b/sin(a+b*x) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 222 + +--S 223 of 528 +a0342:= integrate(t0342,x) +--R +--R +--R x +--R ++ 2 2 +---------------+ +--R (205) | c csc(%R b + a) \|c csc(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 223 + +--S 224 of 528 +m0342:= a0342-r0342 +--R +--R +--R x +--R ++ 2 2 +---------------+ +--R (206) | c csc(%R b + a) \|c csc(%R b + a) d%R - r0342 +--R ++ +--R Type: Expression Integer +--E 224 + +--S 225 of 528 +d0342:= D(m0342,x) +--R +--R +--R 2 2 +--------------+ +--R (207) c csc(b x + a) \|c csc(b x + a) +--R Type: Expression Integer +--E 225 + +--S 226 of 528 +t0343:= 1/(c*csc(a+b*x))^(1/2) +--R +--R +--R 1 +--R (208) ----------------- +--R +--------------+ +--R \|c csc(b x + a) +--R Type: Expression Integer +--E 226 + +--S 227 of 528 +r0343:= 2*EllipticE(1/2*a-1/4*%pi+1/2*b*x,2)/b/(c*csc(a+b*x))^(1/2)/sin(a+b*x)^(1/2) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 227 + +--S 228 of 528 +a0343:= integrate(t0343,x) +--R +--R +--R x +--R ++ 1 +--R (209) | ------------------ d%R +--R ++ +---------------+ +--R \|c csc(%R b + a) +--R Type: Union(Expression Integer,...) +--E 228 + +--S 229 of 528 +m0343:= a0343-r0343 +--R +--R +--R x +--R ++ 1 +--R (210) | ------------------ d%R - r0343 +--R ++ +---------------+ +--R \|c csc(%R b + a) +--R Type: Expression Integer +--E 229 + +--S 230 of 528 +d0343:= D(m0343,x) +--R +--R +--R 1 +--R (211) ----------------- +--R +--------------+ +--R \|c csc(b x + a) +--R Type: Expression Integer +--E 230 + +--S 231 of 528 +t0344:= 1/(c*csc(a+b*x))^(3/2) +--R +--R +--R 1 +--R (212) ------------------------------- +--R +--------------+ +--R c csc(b x + a)\|c csc(b x + a) +--R Type: Expression Integer +--E 231 + +--S 232 of 528 +r0344:= 2/3/c*(-cos(a+b*x)*sin(a+b*x)^(1/2)+EllipticF(1/2*a-1/4*%pi+1/2*b*x,2))/sin(a+b*x)^(1/2)/(c/sin(a+b*x))^(1/2)/b +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 232 + +--S 233 of 528 +a0344:= integrate(t0344,x) +--R +--R +--R x +--R ++ 1 +--R (213) | --------------------------------- d%R +--R ++ +---------------+ +--R c csc(%R b + a)\|c csc(%R b + a) +--R Type: Union(Expression Integer,...) +--E 233 + +--S 234 of 528 +m0344:= a0344-r0344 +--R +--R +--R x +--R ++ 1 +--R (214) | --------------------------------- d%R - r0344 +--R ++ +---------------+ +--R c csc(%R b + a)\|c csc(%R b + a) +--R Type: Expression Integer +--E 234 + +--S 235 of 528 +d0344:= D(m0344,x) +--R +--R +--R 1 +--R (215) ------------------------------- +--R +--------------+ +--R c csc(b x + a)\|c csc(b x + a) +--R Type: Expression Integer +--E 235 + +--S 236 of 528 +t0345:= 1/(c*csc(a+b*x))^(5/2) +--R +--R +--R 1 +--R (216) -------------------------------- +--R 2 2 +--------------+ +--R c csc(b x + a) \|c csc(b x + a) +--R Type: Expression Integer +--E 236 + +--S 237 of 528 +r0345:= 2/5*(-cos(a+b*x)*sin(a+b*x)^(3/2)+3*EllipticE(1/2*a-1/4*%pi+1/2*b*x,2))/sin(a+b*x)^(1/2)/(c/sin(a+b*x))^(1/2)/b/c^2 +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 237 + +--S 238 of 528 +a0345:= integrate(t0345,x) +--R +--R +--R x +--R ++ 1 +--R (217) | ---------------------------------- d%R +--R ++ 2 2 +---------------+ +--R c csc(%R b + a) \|c csc(%R b + a) +--R Type: Union(Expression Integer,...) +--E 238 + +--S 239 of 528 +m0345:= a0345-r0345 +--R +--R +--R x +--R ++ 1 +--R (218) | ---------------------------------- d%R - r0345 +--R ++ 2 2 +---------------+ +--R c csc(%R b + a) \|c csc(%R b + a) +--R Type: Expression Integer +--E 239 + +--S 240 of 528 +d0345:= D(m0345,x) +--R +--R +--R 1 +--R (219) -------------------------------- +--R 2 2 +--------------+ +--R c csc(b x + a) \|c csc(b x + a) +--R Type: Expression Integer +--E 240 + +--S 241 of 528 +t0346:= x*csc(a+b*x) +--R +--R +--R (220) x csc(b x + a) +--R Type: Expression Integer +--E 241 + +--S 242 of 528 +r0346:= -(2*x*atanh(exp(%i*(a+b*x)))*b-%i*polylog(2,-exp(%i*(a+b*x)))+%i*polylog(2,exp(%i*(a+b*x))))/b^2 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 242 + +--S 243 of 528 +a0346:= integrate(t0346,x) +--R +--R +--R x +--R ++ +--R (221) | %R csc(%R b + a)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 243 + +--S 244 of 528 +m0346:= a0346-r0346 +--R +--R +--R x +--R ++ +--R (222) | %R csc(%R b + a)d%R - r0346 +--R ++ +--R Type: Expression Integer +--E 244 + +--S 245 of 528 +d0346:= D(m0346,x) +--R +--R +--R (223) x csc(b x + a) +--R Type: Expression Integer +--E 245 + +--S 246 of 528 +t0347:= x^2*csc(a+b*x) +--R +--R +--R 2 +--R (224) x csc(b x + a) +--R Type: Expression Integer +--E 246 + +--S 247 of 528 +r0347:= -2*(x^2*atanh(exp(%i*(a+b*x)))*b^2-%i*polylog(2,-exp(%i*(a+b*x)))*x*b+%i*polylog(2,exp(%i*(a+b*x)))*x*b+polylog(3,-exp(%i*(a+b*x)))-polylog(3,exp(%i*(a+b*x))))/b^3 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 247 + +--S 248 of 528 +a0347:= integrate(t0347,x) +--R +--R +--R x +--R ++ 2 +--R (225) | %R csc(%R b + a)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 248 + +--S 249 of 528 +m0347:= a0347-r0347 +--R +--R +--R x +--R ++ 2 +--R (226) | %R csc(%R b + a)d%R - r0347 +--R ++ +--R Type: Expression Integer +--E 249 + +--S 250 of 528 +d0347:= D(m0347,x) +--R +--R +--R 2 +--R (227) x csc(b x + a) +--R Type: Expression Integer +--E 250 + +--S 251 of 528 +t0348:= x^3*csc(a+b*x) +--R +--R +--R 3 +--R (228) x csc(b x + a) +--R Type: Expression Integer +--E 251 + +--S 252 of 528 +r0348:= -(2*x^3*atanh(exp(%i*(a+b*x)))*b^3-3*%i*polylog(2,-exp(%i*(a+b*x)))*x^2*b^2+3*%i*polylog(2,exp(%i*(a+b*x)))*x^2*b^2+6*polylog(3,-exp(%i*(a+b*x)))*x*b-6*polylog(3,exp(%i*(a+b*x)))*x*b+6*%i*polylog(4,-exp(%i*(a+b*x)))-6*%i*polylog(4,exp(%i*(a+b*x))))/b^4 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 252 + +--S 253 of 528 +a0348:= integrate(t0348,x) +--R +--R +--R x +--R ++ 3 +--R (229) | %R csc(%R b + a)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 253 + +--S 254 of 528 +m0348:= a0348-r0348 +--R +--R +--R x +--R ++ 3 +--R (230) | %R csc(%R b + a)d%R - r0348 +--R ++ +--R Type: Expression Integer +--E 254 + +--S 255 of 528 +d0348:= D(m0348,x) +--R +--R +--R 3 +--R (231) x csc(b x + a) +--R Type: Expression Integer +--E 255 + +--S 256 of 528 +t0349:= x^2*csc(a+b*x)^2 +--R +--R +--R 2 2 +--R (232) x csc(b x + a) +--R Type: Expression Integer +--E 256 + +--S 257 of 528 +r0349:= -(%i*x^2*b^2+x^2*cot(a+b*x)*b^2-2*x*log(1-exp(2*%i*(a+b*x)))*b+%i*polylog(2,exp(2*%i*(a+b*x))))/b^3 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 257 + +--S 258 of 528 +a0349:= integrate(t0349,x) +--R +--R +--R x +--R ++ 2 2 +--R (233) | %R csc(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 258 + +--S 259 of 528 +m0349:= a0349-r0349 +--R +--R +--R x +--R ++ 2 2 +--R (234) | %R csc(%R b + a) d%R - r0349 +--R ++ +--R Type: Expression Integer +--E 259 + +--S 260 of 528 +d0349:= D(m0349,x) +--R +--R +--R 2 2 +--R (235) x csc(b x + a) +--R Type: Expression Integer +--E 260 + +--S 261 of 528 +t0350:= x^3*csc(a+b*x)^2 +--R +--R +--R 3 2 +--R (236) x csc(b x + a) +--R Type: Expression Integer +--E 261 + +--S 262 of 528 +r0350:= -1/2*(2*%i*x^3*b^3+2*x^3*cot(a+b*x)*b^3-6*x^2*log(1-exp(2*%i*(a+b*x)))*b^2+6*%i*x*polylog(2,exp(2*%i*(a+b*x)))*b-3*polylog(3,exp(2*%i*(a+b*x))))/b^4 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 262 + +--S 263 of 528 +a0350:= integrate(t0350,x) +--R +--R +--R x +--R ++ 3 2 +--R (237) | %R csc(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 263 + +--S 264 of 528 +m0350:= a0350-r0350 +--R +--R +--R x +--R ++ 3 2 +--R (238) | %R csc(%R b + a) d%R - r0350 +--R ++ +--R Type: Expression Integer +--E 264 + +--S 265 of 528 +d0350:= D(m0350,x) +--R +--R +--R 3 2 +--R (239) x csc(b x + a) +--R Type: Expression Integer +--E 265 + +--S 266 of 528 +t0351:= x*csc(a+b*x)^3 +--R +--R +--R 3 +--R (240) x csc(b x + a) +--R Type: Expression Integer +--E 266 + +--S 267 of 528 +r0351:= -x*atanh(exp(1)^(%i*b*x+%i*a))/b-1/2*csc(a+b*x)/b^2-1/2*x*cot(a+b*x)*csc(a+b*x)/b+1/2*%i*polylog(2,-exp(1)^(%i*b*x+%i*a))/b^2-1/2*%i*polylog(2,exp(1)^(%i*b*x+%i*a))/b^2 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 267 + +--S 268 of 528 +a0351:= integrate(t0351,x) +--R +--R +--R x +--R ++ 3 +--R (241) | %R csc(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 268 + +--S 269 of 528 +m0351:= a0351-r0351 +--R +--R +--R x +--R ++ 3 +--R (242) | %R csc(%R b + a) d%R - r0351 +--R ++ +--R Type: Expression Integer +--E 269 + +--S 270 of 528 +d0351:= D(m0351,x) +--R +--R +--R 3 +--R (243) x csc(b x + a) +--R Type: Expression Integer +--E 270 + +--S 271 of 528 +t0352:= x^2*csc(a+b*x)^3 +--R +--R +--R 2 3 +--R (244) x csc(b x + a) +--R Type: Expression Integer +--E 271 + +--S 272 of 528 +r0352:= -x^2*atanh(exp(1)^(%i*b*x+%i*a))/b-atanh(cos(a+b*x))/b^3-x*csc(a+b*x)/b^2-1/2*x^2*cot(a+b*x)*csc(a+b*x)/b+%i*x*polylog(2,-exp(1)^(%i*b*x+%i*a))/b^2-%i*x*polylog(2,exp(1)^(%i*b*x+%i*a))/b^2-polylog(3,-exp(1)^(%i*b*x+%i*a))/b^3+polylog(3,exp(1)^(%i*b*x+%i*a))/b^3 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 272 + +--S 273 of 528 +a0352:= integrate(t0352,x) +--R +--R +--R x +--R ++ 2 3 +--R (245) | %R csc(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 273 + +--S 274 of 528 +m0352:= a0352-r0352 +--R +--R +--R x +--R ++ 2 3 +--R (246) | %R csc(%R b + a) d%R - r0352 +--R ++ +--R Type: Expression Integer +--E 274 + +--S 275 of 528 +d0352:= D(m0352,x) +--R +--R +--R 2 3 +--R (247) x csc(b x + a) +--R Type: Expression Integer +--E 275 + +--S 276 of 528 +t0353:= (c+d*x)*csc(a+b*x) +--R +--R +--R (248) (d x + c)csc(b x + a) +--R Type: Expression Integer +--E 276 + +--S 277 of 528 +r0353:= (-2*atanh(exp(%i*(a+b*x)))*c*b-2*atanh(exp(%i*(a+b*x)))*d*x*b+%i*d*polylog(2,-exp(%i*(a+b*x)))-%i*d*polylog(2,exp(%i*(a+b*x))))/b^2 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 277 + +--S 278 of 528 +a0353:= integrate(t0353,x) +--R +--R +--R x +--R ++ +--R (249) | (%R d + c)csc(%R b + a)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 278 + +--S 279 of 528 +m0353:= a0353-r0353 +--R +--R +--R x +--R ++ +--R (250) | (%R d + c)csc(%R b + a)d%R - r0353 +--R ++ +--R Type: Expression Integer +--E 279 + +--S 280 of 528 +d0353:= D(m0353,x) +--R +--R +--R (251) (d x + c)csc(b x + a) +--R Type: Expression Integer +--E 280 + +--S 281 of 528 +t0354:= (c+d*x)^2*csc(a+b*x) +--R +--R +--R 2 2 2 +--R (252) (d x + 2c d x + c )csc(b x + a) +--R Type: Expression Integer +--E 281 + +--S 282 of 528 +r0354:= -2*(c+d*x)^2*atanh(exp(1)^(%i*b*x+%i*a))/b+2*%i*d*(c+d*x)*polylog(2,-exp(1)^(%i*b*x+%i*a))/b^2-2*%i*d*(c+d*x)*polylog(2,exp(1)^(%i*b*x+%i*a))/b^2-2*d^2*polylog(3,-exp(1)^(%i*b*x+%i*a))/b^3+2*d^2*polylog(3,exp(1)^(%i*b*x+%i*a))/b^3 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 282 + +--S 283 of 528 +a0354:= integrate(t0354,x) +--R +--R +--R x +--R ++ 2 2 2 +--R (253) | (%R d + 2%R c d + c )csc(%R b + a)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 283 + +--S 284 of 528 +m0354:= a0354-r0354 +--R +--R +--R x +--R ++ 2 2 2 +--R (254) | (%R d + 2%R c d + c )csc(%R b + a)d%R - r0354 +--R ++ +--R Type: Expression Integer +--E 284 + +--S 285 of 528 +d0354:= D(m0354,x) +--R +--R +--R 2 2 2 +--R (255) (d x + 2c d x + c )csc(b x + a) +--R Type: Expression Integer +--E 285 + +--S 286 of 528 +t0355:= (c+d*x)^3*csc(a+b*x) +--R +--R +--R 3 3 2 2 2 3 +--R (256) (d x + 3c d x + 3c d x + c )csc(b x + a) +--R Type: Expression Integer +--E 286 + +--S 287 of 528 +r0355:= -2*(c+d*x)^3*atanh(exp(1)^(%i*b*x+%i*a))/b+3*%i*d*(c+d*x)^2*polylog(2,-exp(1)^(%i*b*x+%i*a))/b^2-3*%i*d*(c+d*x)^2*polylog(2,exp(1)^(%i*b*x+%i*a))/b^2-6*d^2*(c+d*x)*polylog(3,-exp(1)^(%i*b*x+%i*a))/b^3+6*d^2*(c+d*x)*polylog(3,exp(1)^(%i*b*x+%i*a))/b^3-6*%i*d^3*polylog(4,-exp(1)^(%i*b*x+%i*a))/b^4+6*%i*d^3*polylog(4,exp(1)^(%i*b*x+%i*a))/b^4 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 287 + +--S 288 of 528 +a0355:= integrate(t0355,x) +--R +--R +--R x +--R ++ 3 3 2 2 2 3 +--R (257) | (%R d + 3%R c d + 3%R c d + c )csc(%R b + a)d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 288 + +--S 289 of 528 +m0355:= a0355-r0355 +--R +--R +--R x +--R ++ 3 3 2 2 2 3 +--R (258) | (%R d + 3%R c d + 3%R c d + c )csc(%R b + a)d%R - r0355 +--R ++ +--R Type: Expression Integer +--E 289 + +--S 290 of 528 +d0355:= D(m0355,x) +--R +--R +--R 3 3 2 2 2 3 +--R (259) (d x + 3c d x + 3c d x + c )csc(b x + a) +--R Type: Expression Integer +--E 290 + +--S 291 of 528 +t0356:= (c+d*x)^2*csc(a+b*x)^2 +--R +--R +--R 2 2 2 2 +--R (260) (d x + 2c d x + c )csc(b x + a) +--R Type: Expression Integer +--E 291 + +--S 292 of 528 +r0356:= -%i*(c+d*x)^2/b-(c+d*x)^2*cot(a+b*x)/b+2*d*(c+d*x)*log(1-exp(1)^(2*%i*a+2*%i*b*x))/b^2-%i*d^2*polylog(2,exp(1)^(2*%i*a+2*%i*b*x))/b^3 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 292 + +--S 293 of 528 +a0356:= integrate(t0356,x) +--R +--R +--R x +--R ++ 2 2 2 2 +--R (261) | (%R d + 2%R c d + c )csc(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 293 + +--S 294 of 528 +m0356:= a0356-r0356 +--R +--R +--R x +--R ++ 2 2 2 2 +--R (262) | (%R d + 2%R c d + c )csc(%R b + a) d%R - r0356 +--R ++ +--R Type: Expression Integer +--E 294 + +--S 295 of 528 +d0356:= D(m0356,x) +--R +--R +--R 2 2 2 2 +--R (263) (d x + 2c d x + c )csc(b x + a) +--R Type: Expression Integer +--E 295 + +--S 296 of 528 +t0357:= (c+d*x)^3*csc(a+b*x)^2 +--R +--R +--R 3 3 2 2 2 3 2 +--R (264) (d x + 3c d x + 3c d x + c )csc(b x + a) +--R Type: Expression Integer +--E 296 + +--S 297 of 528 +r0357:= -%i*(c+d*x)^3/b-(c+d*x)^3*cot(a+b*x)/b+3*d*(c+d*x)^2*log(1-exp(1)^(2*%i*a+2*%i*b*x))/b^2-3*%i*d^2*(c+d*x)*polylog(2,exp(1)^(2*%i*a+2*%i*b*x))/b^3+3/2*d^3*polylog(3,exp(1)^(2*%i*a+2*%i*b*x))/b^4 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 297 + +--S 298 of 528 +a0357:= integrate(t0357,x) +--R +--R +--R x +--R ++ 3 3 2 2 2 3 2 +--R (265) | (%R d + 3%R c d + 3%R c d + c )csc(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 298 + +--S 299 of 528 +m0357:= a0357-r0357 +--R +--R +--R x +--R ++ 3 3 2 2 2 3 2 +--R (266) | (%R d + 3%R c d + 3%R c d + c )csc(%R b + a) d%R - r0357 +--R ++ +--R Type: Expression Integer +--E 299 + +--S 300 of 528 +d0357:= D(m0357,x) +--R +--R +--R 3 3 2 2 2 3 2 +--R (267) (d x + 3c d x + 3c d x + c )csc(b x + a) +--R Type: Expression Integer +--E 300 + +--S 301 of 528 +t0358:= (c+d*x)*csc(a+b*x)^3 +--R +--R +--R 3 +--R (268) (d x + c)csc(b x + a) +--R Type: Expression Integer +--E 301 + +--S 302 of 528 +r0358:= -(c+d*x)*atanh(exp(1)^(%i*b*x+%i*a))/b-1/2*d*csc(a+b*x)/b^2-1/2*(c+d*x)*cot(a+b*x)*csc(a+b*x)/b+1/2*%i*d*polylog(2,-exp(1)^(%i*b*x+%i*a))/b^2-1/2*%i*d*polylog(2,exp(1)^(%i*b*x+%i*a))/b^2 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 302 + +--S 303 of 528 +a0358:= integrate(t0358,x) +--R +--R +--R x +--R ++ 3 +--R (269) | (%R d + c)csc(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 303 + +--S 304 of 528 +m0358:= a0358-r0358 +--R +--R +--R x +--R ++ 3 +--R (270) | (%R d + c)csc(%R b + a) d%R - r0358 +--R ++ +--R Type: Expression Integer +--E 304 + +--S 305 of 528 +d0358:= D(m0358,x) +--R +--R +--R 3 +--R (271) (d x + c)csc(b x + a) +--R Type: Expression Integer +--E 305 + +--S 306 of 528 +t0359:= (c+d*x)^2*csc(a+b*x)^3 +--R +--R +--R 2 2 2 3 +--R (272) (d x + 2c d x + c )csc(b x + a) +--R Type: Expression Integer +--E 306 + +--S 307 of 528 +r0359:= -(c+d*x)^2*atanh(exp(1)^(%i*b*x+%i*a))/b-d^2*atanh(cos(a+b*x))/b^3-d*(c+d*x)*csc(a+b*x)/b^2-1/2*(c+d*x)^2*cot(a+b*x)*csc(a+b*x)/b+%i*d*(c+d*x)*polylog(2,-exp(1)^(%i*b*x+%i*a))/b^2-%i*d*(c+d*x)*polylog(2,exp(1)^(%i*b*x+%i*a))/b^2-d^2*polylog(3,-exp(1)^(%i*b*x+%i*a))/b^3+d^2*polylog(3,exp(1)^(%i*b*x+%i*a))/b^3 +--R +--R There are no library operations named polylog +--R Use HyperDoc Browse or issue +--R )what op polylog +--R to learn if there is any operation containing " polylog " in its +--R name. +--R +--R Cannot find a definition or applicable library operation named +--R polylog with argument type(s) +--R PositiveInteger +--R Expression Complex Integer +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 307 + +--S 308 of 528 +a0359:= integrate(t0359,x) +--R +--R +--R x +--R ++ 2 2 2 3 +--R (273) | (%R d + 2%R c d + c )csc(%R b + a) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 308 + +--S 309 of 528 +m0359:= a0359-r0359 +--R +--R +--R x +--R ++ 2 2 2 3 +--R (274) | (%R d + 2%R c d + c )csc(%R b + a) d%R - r0359 +--R ++ +--R Type: Expression Integer +--E 309 + +--S 310 of 528 +d0359:= D(m0359,x) +--R +--R +--R 2 2 2 3 +--R (275) (d x + 2c d x + c )csc(b x + a) +--R Type: Expression Integer +--E 310 + +--S 311 of 528 +t0360:= (csc(x)^2)^(1/2) +--R +--R +--R +-------+ +--R | 2 +--R (276) \|csc(x) +--R Type: Expression Integer +--E 311 + +--S 312 of 528 +r0360:= -acsch(tan(x)) +--R +--R +--R (277) - acsch(tan(x)) +--R Type: Expression Integer +--E 312 + +--S 313 of 528 +a0360:= integrate(t0360,x) +--R +--R +--R sin(x) +--R (278) log(----------) +--R cos(x) + 1 +--R Type: Union(Expression Integer,...) +--E 313 + +--S 314 of 528 +m0360:= a0360-r0360 +--R +--R +--R sin(x) +--R (279) log(----------) + acsch(tan(x)) +--R cos(x) + 1 +--R Type: Expression Integer +--E 314 + +--S 315 of 528 +d0360:= D(m0360,x) +--R +--R +--R (280) +--R +-----------+ +--R 2 2 | 2 +--R (sin(x) + cos(x) + cos(x))tan(x)\|tan(x) + 1 +--R + +--R 2 +--R (- cos(x) - 1)sin(x)tan(x) + (- cos(x) - 1)sin(x) +--R / +--R +-----------+ +--R | 2 +--R (cos(x) + 1)sin(x)tan(x)\|tan(x) + 1 +--R Type: Expression Integer +--E 315 + +--S 316 of 528 +t0361:= (a*csc(x)^2)^(1/2) +--R +--R +--R +---------+ +--R | 2 +--R (281) \|a csc(x) +--R Type: Expression Integer +--E 316 + +--S 317 of 528 +r0361:= -atanh(cos(x))*(a*csc(x)^2)^(1/2)*sin(x) +--R +--R +--R +---------+ +--R | 2 +--R (282) - sin(x)atanh(cos(x))\|a csc(x) +--R Type: Expression Integer +--E 317 + +--S 318 of 528 +a0361:= integrate(t0361,x) +--R +--R +--R +-+ sin(x) +--R (283) \|a log(----------) +--R cos(x) + 1 +--R Type: Union(Expression Integer,...) +--E 318 + +--S 319 of 528 +m0361:= a0361-r0361 +--R +--R +--R +---------+ +--R | 2 +-+ sin(x) +--R (284) sin(x)atanh(cos(x))\|a csc(x) + \|a log(----------) +--R cos(x) + 1 +--R Type: Expression Integer +--E 319 + +--S 320 of 528 +d0361:= D(m0361,x) +--R +--R +--R (285) +--R +---------+ +--R 2 3 +-+ | 2 +--R ((cos(x) - 1)sin(x) + cos(x) - cos(x))\|a \|a csc(x) +--R + +--R 2 2 2 +--R (- a cos(x) + a)cot(x)csc(x) sin(x) +--R + +--R 3 2 +--R (a cos(x) - a cos(x))csc(x) sin(x) +--R * +--R atanh(cos(x)) +--R + +--R 2 3 +--R a csc(x) sin(x) +--R / +--R +---------+ +--R 2 | 2 +--R (cos(x) - 1)sin(x)\|a csc(x) +--R Type: Expression Integer +--E 320 + +--S 321 of 528 +t0362:= (a*csc(x)^3)^(1/2) +--R +--R +--R +---------+ +--R | 3 +--R (286) \|a csc(x) +--R Type: Expression Integer +--E 321 + +--S 322 of 528 +r0362:= -2*(a*csc(x)^3)^(1/2)*(cos(x)+EllipticE(-1/4*%pi+1/2*x,2)*sin(x)^(1/2))*sin(x) +--R +--R There are no library operations named EllipticE +--R Use HyperDoc Browse or issue +--R )what op EllipticE +--R to learn if there is any operation containing " EllipticE " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticE with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 322 + +--S 323 of 528 +a0362:= integrate(t0362,x) +--R +--R +--R x +----------+ +--R ++ | 3 +--R (287) | \|a csc(%R) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 323 + +--S 324 of 528 +m0362:= a0362-r0362 +--R +--R +--R x +----------+ +--R ++ | 3 +--R (288) | \|a csc(%R) d%R - r0362 +--R ++ +--R Type: Expression Integer +--E 324 + +--S 325 of 528 +d0362:= D(m0362,x) +--R +--R +--R +---------+ +--R | 3 +--R (289) \|a csc(x) +--R Type: Expression Integer +--E 325 + +--S 326 of 528 +t0363:= (csc(x)^2)^(3/2) +--R +--R +--R +-------+ +--R 2 | 2 +--R (290) csc(x) \|csc(x) +--R Type: Expression Integer +--E 326 + +--S 327 of 528 +r0363:= -1/2*acsch(tan(x))-1/2*cot(x)*(csc(x)^2)^(1/2) +--R +--R +--R +-------+ +--R | 2 +--R - cot(x)\|csc(x) - acsch(tan(x)) +--R (291) ---------------------------------- +--R 2 +--R Type: Expression Integer +--E 327 + +--S 328 of 528 +a0363:= integrate(t0363,x) +--R +--R +--R 2 sin(x) +--R (cos(x) - 1)log(----------) + cos(x) +--R cos(x) + 1 +--R (292) ------------------------------------- +--R 2 +--R 2cos(x) - 2 +--R Type: Union(Expression Integer,...) +--E 328 + +--S 329 of 528 +m0363:= a0363-r0363 +--R +--R +--R (293) +--R +-------+ +--R 2 | 2 2 sin(x) +--R (cos(x) - 1)cot(x)\|csc(x) + (cos(x) - 1)log(----------) +--R cos(x) + 1 +--R + +--R 2 +--R (cos(x) - 1)acsch(tan(x)) + cos(x) +--R / +--R 2 +--R 2cos(x) - 2 +--R Type: Expression Integer +--E 329 + +--S 330 of 528 +d0363:= D(m0363,x) +--R +--R +--R (294) +--R 3 2 5 3 +--R ((cos(x) - cos(x) + 2)sin(x) + cos(x) - 2cos(x) + cos(x))tan(x) +--R * +--R +-------+ +--R | 2 +--R \|csc(x) +--R + +--R 4 2 2 4 2 +--R ((- 2cos(x) + 4cos(x) - 2)cot(x) - cos(x) + 2cos(x) - 1) +--R * +--R 2 +--R csc(x) sin(x)tan(x) +--R * +--R +-----------+ +--R | 2 +--R \|tan(x) + 1 +--R + +--R 4 2 2 +--R (- cos(x) + 2cos(x) - 1)sin(x)tan(x) +--R + +--R 4 2 +--R (- cos(x) + 2cos(x) - 1)sin(x) +--R * +--R +-------+ +--R | 2 +--R \|csc(x) +--R / +--R +-------+ +-----------+ +--R 4 2 | 2 | 2 +--R (2cos(x) - 4cos(x) + 2)sin(x)tan(x)\|csc(x) \|tan(x) + 1 +--R Type: Expression Integer +--E 330 + +--S 331 of 528 +t0364:= (a*csc(x)^2)^(3/2) +--R +--R +--R +---------+ +--R 2 | 2 +--R (295) a csc(x) \|a csc(x) +--R Type: Expression Integer +--E 331 + +--S 332 of 528 +r0364:= -1/2*a*(a*csc(x)^2)^(1/2)*(atanh(cos(x))+cot(x)*csc(x))*sin(x) +--R +--R +--R +---------+ +--R | 2 +--R (- a sin(x)atanh(cos(x)) - a cot(x)csc(x)sin(x))\|a csc(x) +--R (296) ------------------------------------------------------------ +--R 2 +--R Type: Expression Integer +--E 332 + +--S 333 of 528 +a0364:= integrate(t0364,x) +--R +--R +--R 2 +-+ sin(x) +-+ +--R (a cos(x) - a)\|a log(----------) + a cos(x)\|a +--R cos(x) + 1 +--R (297) ------------------------------------------------- +--R 2 +--R 2cos(x) - 2 +--R Type: Union(Expression Integer,...) +--E 333 + +--S 334 of 528 +m0364:= a0364-r0364 +--R +--R +--R (298) +--R 2 +--R (a cos(x) - a)sin(x)atanh(cos(x)) +--R + +--R 2 +--R (a cos(x) - a)cot(x)csc(x)sin(x) +--R * +--R +---------+ +--R | 2 +--R \|a csc(x) +--R + +--R 2 +-+ sin(x) +-+ +--R (a cos(x) - a)\|a log(----------) + a cos(x)\|a +--R cos(x) + 1 +--R / +--R 2 +--R 2cos(x) - 2 +--R Type: Expression Integer +--E 334 + +--S 335 of 528 +d0364:= D(m0364,x) +--R +--R +--R (299) +--R 3 2 5 3 +--R (a cos(x) - a cos(x) + 2a)sin(x) + a cos(x) - 2a cos(x) +--R + +--R a cos(x) +--R * +--R +---------+ +--R +-+ | 2 +--R \|a \|a csc(x) +--R + +--R 2 4 2 2 2 2 2 +--R (- a cos(x) + 2a cos(x) - a )cot(x)csc(x) sin(x) +--R + +--R 2 5 2 3 2 2 +--R (a cos(x) - 2a cos(x) + a cos(x))csc(x) sin(x) +--R * +--R atanh(cos(x)) +--R + +--R 2 2 2 2 3 +--R (a cos(x) - a )csc(x) sin(x) +--R + +--R 2 4 2 2 2 2 2 4 2 2 +--R (- 3a cos(x) + 6a cos(x) - 3a )cot(x) - a cos(x) + 2a cos(x) +--R + +--R 2 +--R - a +--R * +--R 3 2 +--R csc(x) sin(x) +--R + +--R 2 5 2 3 2 3 +--R (a cos(x) - 2a cos(x) + a cos(x))cot(x)csc(x) sin(x) +--R / +--R +---------+ +--R 4 2 | 2 +--R (2cos(x) - 4cos(x) + 2)sin(x)\|a csc(x) +--R Type: Expression Integer +--E 335 + +--S 336 of 528 +t0365:= (a*csc(x)^3)^(3/2) +--R +--R +--R +---------+ +--R 3 | 3 +--R (300) a csc(x) \|a csc(x) +--R Type: Expression Integer +--E 336 + +--S 337 of 528 +r0365:= -2/21*a*(a*csc(x)^3)^(1/2)*(5*cot(x)+3*cot(x)*csc(x)^2-5*EllipticF(-1/4*%pi+1/2*x,2)*sin(x)^(1/2))*sin(x) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 337 + +--S 338 of 528 +a0365:= integrate(t0365,x) +--R +--R +--R x +----------+ +--R ++ 3 | 3 +--R (301) | a csc(%R) \|a csc(%R) d%R +--R ++ +--R Type: Union(Expression Integer,...) +--E 338 + +--S 339 of 528 +m0365:= a0365-r0365 +--R +--R +--R x +----------+ +--R ++ 3 | 3 +--R (302) | a csc(%R) \|a csc(%R) d%R - r0365 +--R ++ +--R Type: Expression Integer +--E 339 + +--S 340 of 528 +d0365:= D(m0365,x) +--R +--R +--R +---------+ +--R 3 | 3 +--R (303) a csc(x) \|a csc(x) +--R Type: Expression Integer +--E 340 + +--S 341 of 528 +t0366:= 1/(a*csc(x)^2)^(1/2) +--R +--R +--R 1 +--R (304) ------------ +--R +---------+ +--R | 2 +--R \|a csc(x) +--R Type: Expression Integer +--E 341 + +--S 342 of 528 +r0366:= -cot(x)/(a*csc(x)^2)^(1/2) +--R +--R +--R cot(x) +--R (305) - ------------ +--R +---------+ +--R | 2 +--R \|a csc(x) +--R Type: Expression Integer +--E 342 + +--S 343 of 528 +a0366:= integrate(t0366,x) +--R +--R +--R cos(x) +--R (306) - ------ +--R +-+ +--R \|a +--R Type: Union(Expression Integer,...) +--E 343 + +--S 344 of 528 +m0366:= a0366-r0366 +--R +--R +--R +---------+ +--R | 2 +-+ +--R - cos(x)\|a csc(x) + cot(x)\|a +--R (307) --------------------------------- +--R +---------+ +--R +-+ | 2 +--R \|a \|a csc(x) +--R Type: Expression Integer +--E 344 + +--S 345 of 528 +d0366:= D(m0366,x) +--R +--R +--R +---------+ +--R +-+ | 2 +--R sin(x)\|a \|a csc(x) - a +--R (308) -------------------------- +--R +---------+ +--R | 2 +--R a\|a csc(x) +--R Type: Expression Integer +--E 345 + +--S 346 of 528 +t0367:= 1/(a*csc(x)^3)^(1/2) +--R +--R +--R 1 +--R (309) ------------ +--R +---------+ +--R | 3 +--R \|a csc(x) +--R Type: Expression Integer +--E 346 + +--S 347 of 528 +r0367:= -2/3*csc(x)*(cos(x)-EllipticF(-1/4*%pi+1/2*x,2)/sin(x)^(1/2))/(a*csc(x)^3)^(1/2) +--R +--R There are no library operations named EllipticF +--R Use HyperDoc Browse or issue +--R )what op EllipticF +--R to learn if there is any operation containing " EllipticF " in +--R its name. +--R +--R Cannot find a definition or applicable library operation named +--R EllipticF with argument type(s) +--R Expression Integer +--R PositiveInteger +--R +--R Perhaps you should use "@" to indicate the required return type, +--R or "$" to specify which version of the function you need. +--E 347 + +--S 348 of 528 +a0367:= integrate(t0367,x) +--R +--R +--R x +--R ++ 1 +--R (310) | ------------- d%R +--R ++ +----------+ +--R | 3 +--R \|a csc(%R) +--R Type: Union(Expression Integer,...) +--E 348 + +--S 349 of 528 +m0367:= a0367-r0367 +--R +--R +--R x +--R ++ 1 +--R (311) | ------------- d%R - r0367 +--R ++ +----------+ +--R | 3 +--R \|a csc(%R) +--R Type: Expression Integer +--E 349 + +--S 350 of 528 +d0367:= D(m0367,x) +--R +--R +--R 1 +--R (312) ------------ +--R +---------+ +--R | 3 +--R \|a csc(x) +--R Type: Expression Integer +--E 350 + +--S 351 of 528 +t0368:= 1/(a+a*csc(c+d*x)) +--R +--R +--R 1 +--R (313) ------------------ +--R a csc(d x + c) + a +--R Type: Expression Integer +--E 351 + +--S 352 of 528 +r0368:= x/a+cos(c+d*x)/a/d/(1+sin(c+d*x)) +--R +--R +--R d x sin(d x + c) + cos(d x + c) + d x +--R (314) ------------------------------------- +--R a d sin(d x + c) + a d +--R Type: Expression Integer +--E 352 + +--S 353 of 528 +a0368:= integrate(t0368,x) +--R +--R +--R d x sin(d x + c) + (d x + 2)cos(d x + c) + d x + 2 +--R (315) -------------------------------------------------- +--R a d sin(d x + c) + a d cos(d x + c) + a d +--R Type: Union(Expression Integer,...) +--E 353 + +--S 354 of 528 +m0368:= a0368-r0368 +--R +--R +--R (316) +--R 2 +--R (cos(d x + c) + 2)sin(d x + c) - cos(d x + c) + cos(d x + c) + 2 +--R / +--R 2 +--R a d sin(d x + c) + (a d cos(d x + c) + 2a d)sin(d x + c) +--R + +--R a d cos(d x + c) + a d +--R Type: Expression Integer +--E 354 + +--S 355 of 528 +d0368:= D(m0368,x) +--R +--R +--R (317) +--R 4 3 +--R - sin(d x + c) + (2cos(d x + c) - 1)sin(d x + c) +--R + +--R 2 +--R (2cos(d x + c) + 1)sin(d x + c) +--R + +--R 3 2 +--R (2cos(d x + c) - cos(d x + c) - 2cos(d x + c) + 1)sin(d x + c) +--R + +--R 4 3 2 +--R cos(d x + c) + 2cos(d x + c) - cos(d x + c) - 2cos(d x + c) +--R / +--R 4 3 +--R a sin(d x + c) + (2a cos(d x + c) + 4a)sin(d x + c) +--R + +--R 2 2 +--R (a cos(d x + c) + 6a cos(d x + c) + 6a)sin(d x + c) +--R + +--R 2 2 +--R (2a cos(d x + c) + 6a cos(d x + c) + 4a)sin(d x + c) + a cos(d x + c) +--R + +--R 2a cos(d x + c) + a +--R Type: Expression Integer +--E 355 + +--S 356 of 528 +t0369:= 1/(a-a*csc(c+d*x)) +--R +--R +--R 1 +--R (318) - ------------------ +--R a csc(d x + c) - a +--R Type: Expression Integer +--E 356 + +--S 357 of 528 +r0369:= x/a-cos(c+d*x)/a/d/(1-sin(c+d*x)) +--R +--R +--R d x sin(d x + c) + cos(d x + c) - d x +--R (319) ------------------------------------- +--R a d sin(d x + c) - a d +--R Type: Expression Integer +--E 357 + +--S 358 of 528 +a0369:= integrate(t0369,x) +--R +--R +--R d x sin(d x + c) + (- d x + 2)cos(d x + c) - d x + 2 +--R (320) ---------------------------------------------------- +--R a d sin(d x + c) - a d cos(d x + c) - a d +--R Type: Union(Expression Integer,...) +--E 358 + +--S 359 of 528 +m0369:= a0369-r0369 +--R +--R +--R (321) +--R 2 +--R (cos(d x + c) + 2)sin(d x + c) + cos(d x + c) - cos(d x + c) - 2 +--R / +--R 2 +--R a d sin(d x + c) + (- a d cos(d x + c) - 2a d)sin(d x + c) +--R + +--R a d cos(d x + c) + a d +--R Type: Expression Integer +--E 359 + +--S 360 of 528 +d0369:= D(m0369,x) +--R +--R +--R (322) +--R 4 3 +--R - sin(d x + c) + (- 2cos(d x + c) + 1)sin(d x + c) +--R + +--R 2 +--R (2cos(d x + c) + 1)sin(d x + c) +--R + +--R 3 2 +--R (- 2cos(d x + c) + cos(d x + c) + 2cos(d x + c) - 1)sin(d x + c) +--R + +--R 4 3 2 +--R cos(d x + c) + 2cos(d x + c) - cos(d x + c) - 2cos(d x + c) +--R / +--R 4 3 +--R a sin(d x + c) + (- 2a cos(d x + c) - 4a)sin(d x + c) +--R + +--R 2 2 +--R (a cos(d x + c) + 6a cos(d x + c) + 6a)sin(d x + c) +--R + +--R 2 2 +--R (- 2a cos(d x + c) - 6a cos(d x + c) - 4a)sin(d x + c) + a cos(d x + c) +--R + +--R 2a cos(d x + c) + a +--R Type: Expression Integer +--E 360 + +--S 361 of 528 +t0370:= (3+3*csc(x))^(1/2) +--R +--R +--R +-----------+ +--R (323) \|3csc(x) + 3 +--R Type: Expression Integer +--E 361 + +--S 362 of 528 +r0370:= -2*3^(1/2)*atan((-1+csc(x))^(1/2))*cot(x)/(-1+csc(x))^(1/2)/(1+csc(x))^(1/2) +--R +--R +--R +-+ +----------+ +--R 2\|3 cot(x)atan(\|csc(x) - 1 ) +--R (324) - ------------------------------ +--R +----------+ +----------+ +--R \|csc(x) - 1 \|csc(x) + 1 +--R Type: Expression Integer +--E 362 + +--S 363 of 528 +a0370:= integrate(t0370,x) +--R +--R +--R +-------------+ +--R +-+ +-+ +-+ |- 9cos(x) - 9 +--R (2\|3 sin(x) + 2\|3 cos(x) - 2\|3 ) 4|------------- +--R +-+ \| 4cos(x) - 4 +--R (325) \|3 atan(---------------------------------------------------) +--R +-------------+2 +--R |- 9cos(x) - 9 +--R (2cos(x) - 2) 4|------------- - 3sin(x) + 3 +--R \| 4cos(x) - 4 +--R Type: Union(Expression Integer,...) +--E 363 + +--S 364 of 528 +m0370:= a0370-r0370 +--R +--R +--R (326) +--R +-+ +----------+ +--R 2\|3 cot(x)atan(\|csc(x) - 1 ) +--R + +--R +-+ +----------+ +----------+ +--R \|3 \|csc(x) - 1 \|csc(x) + 1 +--R * +--R +-------------+ +--R +-+ +-+ +-+ |- 9cos(x) - 9 +--R (2\|3 sin(x) + 2\|3 cos(x) - 2\|3 ) 4|------------- +--R \| 4cos(x) - 4 +--R atan(---------------------------------------------------) +--R +-------------+2 +--R |- 9cos(x) - 9 +--R (2cos(x) - 2) 4|------------- - 3sin(x) + 3 +--R \| 4cos(x) - 4 +--R / +--R +----------+ +----------+ +--R \|csc(x) - 1 \|csc(x) + 1 +--R Type: Expression Integer +--E 364 + +--S 365 of 528 +d0370:= D(m0370,x) +--R +--R +--R (327) +--R +-+ 2 +-+ +-+ 2 +--R (- 8\|3 cos(x) + 16\|3 cos(x) - 8\|3 )csc(x) +--R + +--R +-+ 2 +-+ +-+ 2 +-+ 2 +--R (8\|3 cos(x) - 16\|3 cos(x) + 8\|3 )cot(x) + 8\|3 cos(x) +--R + +--R +-+ +-+ +--R - 16\|3 cos(x) + 8\|3 +--R * +--R 4 +--R sin(x) +--R + +--R +-+ 3 +-+ 2 +-+ 2 +--R (- 32\|3 cos(x) + 64\|3 cos(x) - 32\|3 cos(x))csc(x) +--R + +--R +-+ 3 +-+ 2 +-+ 2 +--R (32\|3 cos(x) - 64\|3 cos(x) + 32\|3 cos(x))cot(x) +--R + +--R +-+ 3 +-+ 2 +-+ +--R 32\|3 cos(x) - 64\|3 cos(x) + 32\|3 cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 16\|3 cos(x) + 64\|3 cos(x) - 80\|3 cos(x) +--R + +--R +-+ +--R 32\|3 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 16\|3 cos(x) - 64\|3 cos(x) + 80\|3 cos(x) +--R + +--R +-+ +--R - 32\|3 cos(x) +--R * +--R 2 +--R cot(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +-+ +--R 16\|3 cos(x) - 64\|3 cos(x) + 80\|3 cos(x) - 32\|3 cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 5 +-+ 4 +-+ 2 +--R - 32\|3 cos(x) + 64\|3 cos(x) - 32\|3 cos(x) +--R + +--R +-+ +-+ +--R - 32\|3 cos(x) + 32\|3 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 5 +-+ 4 +-+ 2 +--R 32\|3 cos(x) - 64\|3 cos(x) + 32\|3 cos(x) +--R + +--R +-+ +-+ +--R 32\|3 cos(x) - 32\|3 +--R * +--R 2 +--R cot(x) +--R + +--R +-+ 5 +-+ 4 +-+ 2 +-+ +--R 32\|3 cos(x) - 64\|3 cos(x) + 32\|3 cos(x) + 32\|3 cos(x) +--R + +--R +-+ +--R - 32\|3 +--R * +--R sin(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R - 8\|3 cos(x) + 48\|3 cos(x) - 40\|3 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R - 64\|3 cos(x) + 64\|3 cos(x) + 32\|3 cos(x) - 32\|3 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +-+ 3 +--R 8\|3 cos(x) - 48\|3 cos(x) + 40\|3 cos(x) + 64\|3 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R - 64\|3 cos(x) - 32\|3 cos(x) + 32\|3 +--R * +--R 2 +--R cot(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +-+ 3 +--R 8\|3 cos(x) - 48\|3 cos(x) + 40\|3 cos(x) + 64\|3 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R - 64\|3 cos(x) - 32\|3 cos(x) + 32\|3 +--R * +--R +-------------+3 +--R |- 9cos(x) - 9 +--R 4|------------- +--R \| 4cos(x) - 4 +--R + +--R +-+ 2 +-+ 2 +--R (24\|3 cos(x) - 24\|3 )csc(x) +--R + +--R +-+ 2 +-+ 2 +-+ 2 +-+ +--R (- 24\|3 cos(x) + 24\|3 )cot(x) - 24\|3 cos(x) + 24\|3 +--R * +--R 4 +--R sin(x) +--R + +--R +-+ 2 +-+ 2 +--R (- 48\|3 cos(x) + 48\|3 )csc(x) +--R + +--R +-+ 2 +-+ 2 +-+ 2 +-+ +--R (48\|3 cos(x) - 48\|3 )cot(x) + 48\|3 cos(x) - 48\|3 +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 2 +-+ 2 +--R (24\|3 cos(x) - 24\|3 )csc(x) +--R + +--R +-+ 2 +-+ 2 +-+ 2 +-+ +--R (- 24\|3 cos(x) + 24\|3 )cot(x) - 24\|3 cos(x) + 24\|3 +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (- 48\|3 cos(x) + 96\|3 cos(x) - 48\|3 )csc(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (48\|3 cos(x) - 96\|3 cos(x) + 48\|3 )cot(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 48\|3 cos(x) - 96\|3 cos(x) + 48\|3 +--R * +--R sin(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 24\|3 cos(x) + 96\|3 cos(x) - 120\|3 cos(x) + 48\|3 ) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 2 +--R (24\|3 cos(x) - 96\|3 cos(x) + 120\|3 cos(x) - 48\|3 )cot(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R 24\|3 cos(x) - 96\|3 cos(x) + 120\|3 cos(x) - 48\|3 +--R * +--R +-------------+ +--R |- 9cos(x) - 9 +--R 4|------------- +--R \| 4cos(x) - 4 +--R * +--R +----------+ +--R atan(\|csc(x) - 1 ) +--R + +--R 2 2 2 +--R (- 12cos(x) - 6cos(x) + 18)csc(x) + 12cos(x) + 6cos(x) +--R + +--R - 18 +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 2 3 2 +--R (24cos(x) - 6cos(x) - 18)csc(x) - 24cos(x) + 6cos(x) +--R + +--R 18 +--R * +--R 3 +--R sin(x) +--R + +--R 3 2 2 3 +--R (- 42cos(x) + 42cos(x) + 12cos(x) - 12)csc(x) + 42cos(x) +--R + +--R 2 +--R - 42cos(x) - 12cos(x) + 12 +--R * +--R 2 +--R sin(x) +--R + +--R 5 4 3 2 2 +--R (24cos(x) - 6cos(x) - 12cos(x) - 30cos(x) + 24)csc(x) +--R + +--R 5 4 3 2 +--R - 24cos(x) + 6cos(x) + 12cos(x) + 30cos(x) - 24 +--R * +--R sin(x) +--R + +--R 6 5 4 3 2 +--R (12cos(x) - 36cos(x) - 12cos(x) + 60cos(x) - 24cos(x))csc(x) +--R + +--R 6 5 4 3 +--R - 12cos(x) + 36cos(x) + 12cos(x) - 60cos(x) + 24cos(x) +--R * +--R +-------------+2 +--R |- 9cos(x) - 9 +--R 4|------------- +--R \| 4cos(x) - 4 +--R + +--R 2 5 +--R (9csc(x) - 9)sin(x) +--R + +--R 2 2 2 +--R ((- 18cos(x) + 9cos(x) - 18)csc(x) + 18cos(x) - 9cos(x) + 18) +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 2 3 +--R (- 36cos(x) + 27cos(x) + 9cos(x) + 27)csc(x) + 36cos(x) +--R + +--R 2 +--R - 27cos(x) - 9cos(x) - 27 +--R * +--R 3 +--R sin(x) +--R + +--R 3 2 2 3 +--R (45cos(x) - 54cos(x) - 18cos(x) + 18)csc(x) - 45cos(x) +--R + +--R 2 +--R 54cos(x) + 18cos(x) - 18 +--R * +--R 2 +--R sin(x) +--R + +--R 5 4 3 2 +--R - 36cos(x) + 18cos(x) + 63cos(x) + 27cos(x) - 36cos(x) +--R + +--R - 36 +--R * +--R 2 +--R csc(x) +--R + +--R 5 4 3 2 +--R 36cos(x) - 18cos(x) - 63cos(x) - 27cos(x) + 36cos(x) + 36 +--R * +--R sin(x) +--R + +--R 6 5 4 3 2 +--R 18cos(x) + 36cos(x) - 54cos(x) - 72cos(x) + 36cos(x) +--R + +--R 36cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R 6 5 4 3 2 +--R - 18cos(x) - 36cos(x) + 54cos(x) + 72cos(x) - 36cos(x) - 36cos(x) +--R * +--R +----------+ +----------+ +--R \|csc(x) - 1 \|csc(x) + 1 +--R + +--R +-+ 2 +-+ +-+ 2 +--R (- 4\|3 cos(x) + 8\|3 cos(x) - 4\|3 )cot(x) csc(x) +--R + +--R +-+ 2 +-+ +-+ 2 +--R (- 4\|3 cos(x) + 8\|3 cos(x) - 4\|3 )cot(x) +--R * +--R 4 +--R sin(x) +--R + +--R +-+ 3 +-+ 2 +-+ 2 +--R (- 16\|3 cos(x) + 32\|3 cos(x) - 16\|3 cos(x))cot(x) csc(x) +--R + +--R +-+ 3 +-+ 2 +-+ 2 +--R (- 16\|3 cos(x) + 32\|3 cos(x) - 16\|3 cos(x))cot(x) +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 8\|3 cos(x) + 32\|3 cos(x) - 40\|3 cos(x) +--R + +--R +-+ +--R 16\|3 cos(x) +--R * +--R 2 +--R cot(x) csc(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 8\|3 cos(x) + 32\|3 cos(x) - 40\|3 cos(x) +--R + +--R +-+ +--R 16\|3 cos(x) +--R * +--R 2 +--R cot(x) +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 5 +-+ 4 +-+ 2 +--R - 16\|3 cos(x) + 32\|3 cos(x) - 16\|3 cos(x) +--R + +--R +-+ +-+ +--R - 16\|3 cos(x) + 16\|3 +--R * +--R 2 +--R cot(x) csc(x) +--R + +--R +-+ 5 +-+ 4 +-+ 2 +--R - 16\|3 cos(x) + 32\|3 cos(x) - 16\|3 cos(x) +--R + +--R +-+ +-+ +--R - 16\|3 cos(x) + 16\|3 +--R * +--R 2 +--R cot(x) +--R * +--R sin(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R - 4\|3 cos(x) + 24\|3 cos(x) - 20\|3 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R - 32\|3 cos(x) + 32\|3 cos(x) + 16\|3 cos(x) - 16\|3 +--R * +--R 2 +--R cot(x) csc(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R - 4\|3 cos(x) + 24\|3 cos(x) - 20\|3 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R - 32\|3 cos(x) + 32\|3 cos(x) + 16\|3 cos(x) - 16\|3 +--R * +--R 2 +--R cot(x) +--R * +--R +-------------+3 +--R |- 9cos(x) - 9 +--R 4|------------- +--R \| 4cos(x) - 4 +--R + +--R +-+ 2 +-+ 2 +--R (12\|3 cos(x) - 12\|3 )cot(x) csc(x) +--R + +--R +-+ 2 +-+ 2 +--R (12\|3 cos(x) - 12\|3 )cot(x) +--R * +--R 4 +--R sin(x) +--R + +--R +-+ 2 +-+ 2 +--R (- 24\|3 cos(x) + 24\|3 )cot(x) csc(x) +--R + +--R +-+ 2 +-+ 2 +--R (- 24\|3 cos(x) + 24\|3 )cot(x) +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 2 +-+ 2 +--R (12\|3 cos(x) - 12\|3 )cot(x) csc(x) +--R + +--R +-+ 2 +-+ 2 +--R (12\|3 cos(x) - 12\|3 )cot(x) +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (- 24\|3 cos(x) + 48\|3 cos(x) - 24\|3 )cot(x) csc(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (- 24\|3 cos(x) + 48\|3 cos(x) - 24\|3 )cot(x) +--R * +--R sin(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ +--R (- 12\|3 cos(x) + 48\|3 cos(x) - 60\|3 cos(x) + 24\|3 ) +--R * +--R 2 +--R cot(x) csc(x) +--R + +--R +-+ 6 +-+ 4 +-+ 2 +-+ 2 +--R (- 12\|3 cos(x) + 48\|3 cos(x) - 60\|3 cos(x) + 24\|3 )cot(x) +--R * +--R +-------------+ +--R |- 9cos(x) - 9 +--R 4|------------- +--R \| 4cos(x) - 4 +--R * +--R +----------+ +--R \|csc(x) - 1 +--R / +--R 2 2 2 4 +--R ((4cos(x) - 8cos(x) + 4)csc(x) - 4cos(x) + 8cos(x) - 4)sin(x) +--R + +--R 3 2 2 3 +--R (16cos(x) - 32cos(x) + 16cos(x))csc(x) - 16cos(x) +--R + +--R 2 +--R 32cos(x) - 16cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 4 3 2 2 4 +--R (8cos(x) - 32cos(x) + 40cos(x) - 16cos(x))csc(x) - 8cos(x) +--R + +--R 3 2 +--R 32cos(x) - 40cos(x) + 16cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 5 4 2 2 +--R (16cos(x) - 32cos(x) + 16cos(x) + 16cos(x) - 16)csc(x) +--R + +--R 5 4 2 +--R - 16cos(x) + 32cos(x) - 16cos(x) - 16cos(x) + 16 +--R * +--R sin(x) +--R + +--R 6 5 4 3 2 +--R 4cos(x) - 24cos(x) + 20cos(x) + 32cos(x) - 32cos(x) +--R + +--R - 16cos(x) + 16 +--R * +--R 2 +--R csc(x) +--R + +--R 6 5 4 3 2 +--R - 4cos(x) + 24cos(x) - 20cos(x) - 32cos(x) + 32cos(x) +--R + +--R 16cos(x) - 16 +--R * +--R +-------------+3 +--R |- 9cos(x) - 9 +--R 4|------------- +--R \| 4cos(x) - 4 +--R + +--R 2 2 2 4 +--R ((- 12cos(x) + 12)csc(x) + 12cos(x) - 12)sin(x) +--R + +--R 2 2 2 3 +--R ((24cos(x) - 24)csc(x) - 24cos(x) + 24)sin(x) +--R + +--R 2 2 2 2 +--R ((- 12cos(x) + 12)csc(x) + 12cos(x) - 12)sin(x) +--R + +--R 4 2 2 4 2 +--R (24cos(x) - 48cos(x) + 24)csc(x) - 24cos(x) + 48cos(x) +--R + +--R - 24 +--R * +--R sin(x) +--R + +--R 6 4 2 2 6 +--R (12cos(x) - 48cos(x) + 60cos(x) - 24)csc(x) - 12cos(x) +--R + +--R 4 2 +--R 48cos(x) - 60cos(x) + 24 +--R * +--R +-------------+ +--R |- 9cos(x) - 9 +--R 4|------------- +--R \| 4cos(x) - 4 +--R * +--R +----------+ +----------+ +--R \|csc(x) - 1 \|csc(x) + 1 +--R Type: Expression Integer +--E 365 + +--S 366 of 528 +t0371:= (3-3*csc(x))^(1/2) +--R +--R +--R +-------------+ +--R (328) \|- 3csc(x) + 3 +--R Type: Expression Integer +--E 366 + +--S 367 of 528 +r0371:= -2*3^(1/2)*atan((-1-csc(x))^(1/2))*cot(x)/(-1-csc(x))^(1/2)/(1-csc(x))^(1/2) +--R +--R +--R +-+ +------------+ +--R 2\|3 cot(x)atan(\|- csc(x) - 1 ) +--R (329) - -------------------------------- +--R +------------+ +------------+ +--R \|- csc(x) - 1 \|- csc(x) + 1 +--R Type: Expression Integer +--E 367 + +--S 368 of 528 +a0371:= integrate(t0371,x) +--R +--R +--R (330) 0 +--R Type: Union(Expression Integer,...) +--E 368 + +--S 369 of 528 +m0371:= a0371-r0371 +--R +--R +--R +-+ +------------+ +--R 2\|3 cot(x)atan(\|- csc(x) - 1 ) +--R (331) -------------------------------- +--R +------------+ +------------+ +--R \|- csc(x) - 1 \|- csc(x) + 1 +--R Type: Expression Integer +--E 369 + +--S 370 of 528 +d0371:= D(m0371,x) +--R +--R +--R (332) +--R +-+ 2 +-+ 2 +-+ +------------+ +--R (- 2\|3 csc(x) + 2\|3 cot(x) + 2\|3 )atan(\|- csc(x) - 1 ) +--R + +--R +-+ 2 +-+ 2 +------------+ +--R (\|3 cot(x) csc(x) - \|3 cot(x) )\|- csc(x) - 1 +--R / +--R 2 +------------+ +------------+ +--R (csc(x) - 1)\|- csc(x) - 1 \|- csc(x) + 1 +--R Type: Expression Integer +--E 370 + +--S 371 of 528 +t0372:= (a+a*csc(x))^(1/2) +--R +--R +--R +------------+ +--R (333) \|a csc(x) + a +--R Type: Expression Integer +--E 371 + +--S 372 of 528 +r0372:= -2*a*atan((-1+csc(x))^(1/2))*cot(x)/(-1+csc(x))^(1/2)/(a+a*csc(x))^(1/2) +--R +--R +--R +----------+ +--R 2a cot(x)atan(\|csc(x) - 1 ) +--R (334) - ---------------------------- +--R +----------+ +------------+ +--R \|csc(x) - 1 \|a csc(x) + a +--R Type: Expression Integer +--E 372 + +--S 373 of 528 +a0372:= integrate(t0372,x) +--R +--R +--R (335) +--R [ +--R +---+ +--R \|- a +--R * +--R log +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R ((- 8cos(x) + 8)sin(x) + 8cos(x) - 8) 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 +---+ +--R ((8cos(x) - 12)sin(x) - 8cos(x) - 4cos(x) + 12)\|- a +--R * +--R +---------------+ +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 +--R - 4a sin(x) - 4a cos(x) + 5a +--R / +--R 2 +--R , +--R +---------------+ +--R | 2 2 +--R +-+ |- a cos(x) - a +--R (2sin(x) + 2cos(x) - 2)\|a 4|--------------- +--R +-+ \| 4cos(x) - 4 +--R \|a atan(-----------------------------------------------)] +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R (2cos(x) - 2) 4|--------------- - a sin(x) + a +--R \| 4cos(x) - 4 +--R Type: Union(List Expression Integer,...) +--E 373 + +--S 374 of 528 +m0372a:= a0372.1-r0372 +--R +--R +--R (336) +--R +---+ +----------+ +------------+ +--R \|- a \|csc(x) - 1 \|a csc(x) + a +--R * +--R log +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R ((- 8cos(x) + 8)sin(x) + 8cos(x) - 8) 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 +---+ +--R ((8cos(x) - 12)sin(x) - 8cos(x) - 4cos(x) + 12)\|- a +--R * +--R +---------------+ +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 +--R - 4a sin(x) - 4a cos(x) + 5a +--R + +--R +----------+ +--R 4a cot(x)atan(\|csc(x) - 1 ) +--R / +--R +----------+ +------------+ +--R 2\|csc(x) - 1 \|a csc(x) + a +--R Type: Expression Integer +--E 374 + +--S 375 of 528 +d0372a:= D(m0372a,x) +--R +--R +--R (337) +--R 2 2 +--R (- 32a cos(x) + 64a cos(x) - 32a)csc(x) +--R + +--R 2 2 2 +--R (32a cos(x) - 64a cos(x) + 32a)cot(x) + 32a cos(x) +--R + +--R - 64a cos(x) + 32a +--R * +--R sin(x) +--R + +--R 4 3 2 +--R (- 32a cos(x) + 64a cos(x) + 8a cos(x) - 80a cos(x) + 40a) +--R * +--R 2 +--R csc(x) +--R + +--R 4 3 2 +--R (32a cos(x) - 64a cos(x) - 8a cos(x) + 80a cos(x) - 40a) +--R * +--R 2 +--R cot(x) +--R + +--R 4 3 2 +--R 32a cos(x) - 64a cos(x) - 8a cos(x) + 80a cos(x) - 40a +--R * +--R +---------------+3 +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 3 2 2 2 2 2 +--R (16a cos(x) - 16a cos(x) - 16a cos(x) + 16a )csc(x) +--R + +--R 2 3 2 2 2 2 2 +--R (- 16a cos(x) + 16a cos(x) + 16a cos(x) - 16a )cot(x) +--R + +--R 2 3 2 2 2 2 +--R - 16a cos(x) + 16a cos(x) + 16a cos(x) - 16a +--R * +--R sin(x) +--R + +--R 2 3 2 2 2 2 2 +--R (- 16a cos(x) + 16a cos(x) + 16a cos(x) - 16a )csc(x) +--R + +--R 2 3 2 2 2 2 2 +--R (16a cos(x) - 16a cos(x) - 16a cos(x) + 16a )cot(x) +--R + +--R 2 3 2 2 2 2 +--R 16a cos(x) - 16a cos(x) - 16a cos(x) + 16a +--R * +--R +---------------+ +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 3 2 2 2 2 2 +--R (- 16a cos(x) + 24a cos(x) + 16a cos(x) - 24a )csc(x) +--R + +--R 2 3 2 2 2 2 2 +--R (16a cos(x) - 24a cos(x) - 16a cos(x) + 24a )cot(x) +--R + +--R 2 3 2 2 2 2 +--R 16a cos(x) - 24a cos(x) - 16a cos(x) + 24a +--R * +--R sin(x) +--R + +--R 2 4 2 3 2 2 2 2 +--R (16a cos(x) + 8a cos(x) - 40a cos(x) - 8a cos(x) + 24a ) +--R * +--R 2 +--R csc(x) +--R + +--R 2 4 2 3 2 2 2 2 +--R (- 16a cos(x) - 8a cos(x) + 40a cos(x) + 8a cos(x) - 24a ) +--R * +--R 2 +--R cot(x) +--R + +--R 2 4 2 3 2 2 2 2 +--R - 16a cos(x) - 8a cos(x) + 40a cos(x) + 8a cos(x) - 24a +--R * +--R +---+ +--R \|- a +--R * +--R +----------+ +--R atan(\|csc(x) - 1 ) +--R + +--R 3 2 2 3 +--R (- 16cos(x) + 32cos(x) - 16cos(x))csc(x) + 16cos(x) +--R + +--R 2 +--R - 32cos(x) + 16cos(x) +--R * +--R sin(x) +--R + +--R 3 2 2 3 2 +--R (8cos(x) - 16cos(x) + 8cos(x))csc(x) - 8cos(x) + 16cos(x) +--R + +--R - 8cos(x) +--R * +--R +---------------+3 +--R | 2 2 +--R +---+ |- a cos(x) - a +--R \|- a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 2 2 2 +--R ((4a cos(x) - 4a cos(x))csc(x) - 4a cos(x) + 4a cos(x))sin(x) +--R + +--R 2 2 2 +--R ((- 4a cos(x) + 4a cos(x))csc(x) + 4a cos(x) - 4a cos(x)) +--R * +--R sin(x) +--R + +--R 4 3 2 2 +--R (- 4a cos(x) + 4a cos(x) + 4a cos(x) - 4a cos(x))csc(x) +--R + +--R 4 3 2 +--R 4a cos(x) - 4a cos(x) - 4a cos(x) + 4a cos(x) +--R * +--R +---------------+ +--R | 2 2 +--R +---+ |- a cos(x) - a +--R \|- a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 2 2 2 2 2 2 2 +--R (4a cos(x) - 2a cos(x) - a )csc(x) - 4a cos(x) + 2a cos(x) +--R + +--R 2 +--R a +--R * +--R 2 +--R sin(x) +--R + +--R 2 3 2 2 2 2 3 2 +--R (- 8a cos(x) + 9a cos(x) - a )csc(x) + 8a cos(x) - 9a cos(x) +--R + +--R 2 +--R a +--R * +--R sin(x) +--R + +--R 2 4 2 3 2 2 2 2 +--R (- 4a cos(x) + 6a cos(x) + 4a cos(x) - 6a cos(x))csc(x) +--R + +--R 2 4 2 3 2 2 2 +--R 4a cos(x) - 6a cos(x) - 4a cos(x) + 6a cos(x) +--R * +--R +----------+ +------------+ +--R \|csc(x) - 1 \|a csc(x) + a +--R + +--R 2 2 +--R (- 16a cos(x) + 32a cos(x) - 16a)cot(x) csc(x) +--R + +--R 2 2 +--R (- 16a cos(x) + 32a cos(x) - 16a)cot(x) +--R * +--R sin(x) +--R + +--R 4 3 2 +--R (- 16a cos(x) + 32a cos(x) + 4a cos(x) - 40a cos(x) + 20a) +--R * +--R 2 +--R cot(x) csc(x) +--R + +--R 4 3 2 +--R (- 16a cos(x) + 32a cos(x) + 4a cos(x) - 40a cos(x) + 20a) +--R * +--R 2 +--R cot(x) +--R * +--R +---------------+3 +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 3 2 2 2 2 2 +--R (8a cos(x) - 8a cos(x) - 8a cos(x) + 8a )cot(x) csc(x) +--R + +--R 2 3 2 2 2 2 2 +--R (8a cos(x) - 8a cos(x) - 8a cos(x) + 8a )cot(x) +--R * +--R sin(x) +--R + +--R 2 3 2 2 2 2 2 +--R (- 8a cos(x) + 8a cos(x) + 8a cos(x) - 8a )cot(x) csc(x) +--R + +--R 2 3 2 2 2 2 2 +--R (- 8a cos(x) + 8a cos(x) + 8a cos(x) - 8a )cot(x) +--R * +--R +---------------+ +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 3 2 2 2 2 2 +--R (- 8a cos(x) + 12a cos(x) + 8a cos(x) - 12a )cot(x) csc(x) +--R + +--R 2 3 2 2 2 2 2 +--R (- 8a cos(x) + 12a cos(x) + 8a cos(x) - 12a )cot(x) +--R * +--R sin(x) +--R + +--R 2 4 2 3 2 2 2 2 +--R (8a cos(x) + 4a cos(x) - 20a cos(x) - 4a cos(x) + 12a ) +--R * +--R 2 +--R cot(x) csc(x) +--R + +--R 2 4 2 3 2 2 2 2 2 +--R (8a cos(x) + 4a cos(x) - 20a cos(x) - 4a cos(x) + 12a )cot(x) +--R * +--R +---+ +--R \|- a +--R * +--R +----------+ +--R \|csc(x) - 1 +--R / +--R 2 2 2 +--R ((16cos(x) - 32cos(x) + 16)csc(x) - 16cos(x) + 32cos(x) - 16) +--R * +--R sin(x) +--R + +--R 4 3 2 2 +--R (16cos(x) - 32cos(x) - 4cos(x) + 40cos(x) - 20)csc(x) +--R + +--R 4 3 2 +--R - 16cos(x) + 32cos(x) + 4cos(x) - 40cos(x) + 20 +--R * +--R +---------------+3 +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 3 2 2 +--R (- 8a cos(x) + 8a cos(x) + 8a cos(x) - 8a)csc(x) +--R + +--R 3 2 +--R 8a cos(x) - 8a cos(x) - 8a cos(x) + 8a +--R * +--R sin(x) +--R + +--R 3 2 2 3 +--R (8a cos(x) - 8a cos(x) - 8a cos(x) + 8a)csc(x) - 8a cos(x) +--R + +--R 2 +--R 8a cos(x) + 8a cos(x) - 8a +--R * +--R +---------------+ +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 3 2 2 +--R (8a cos(x) - 12a cos(x) - 8a cos(x) + 12a)csc(x) +--R + +--R 3 2 +--R - 8a cos(x) + 12a cos(x) + 8a cos(x) - 12a +--R * +--R sin(x) +--R + +--R 4 3 2 2 +--R (- 8a cos(x) - 4a cos(x) + 20a cos(x) + 4a cos(x) - 12a)csc(x) +--R + +--R 4 3 2 +--R 8a cos(x) + 4a cos(x) - 20a cos(x) - 4a cos(x) + 12a +--R * +--R +---+ +--R \|- a +--R * +--R +----------+ +------------+ +--R \|csc(x) - 1 \|a csc(x) + a +--R Type: Expression Integer +--E 375 + +--S 376 of 528 +m0372b:= a0372.2-r0372 +--R +--R +--R (338) +--R +----------+ +--R 2a cot(x)atan(\|csc(x) - 1 ) +--R + +--R +-+ +----------+ +------------+ +--R \|a \|csc(x) - 1 \|a csc(x) + a +--R * +--R +---------------+ +--R | 2 2 +--R +-+ |- a cos(x) - a +--R (2sin(x) + 2cos(x) - 2)\|a 4|--------------- +--R \| 4cos(x) - 4 +--R atan(-----------------------------------------------) +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R (2cos(x) - 2) 4|--------------- - a sin(x) + a +--R \| 4cos(x) - 4 +--R / +--R +----------+ +------------+ +--R \|csc(x) - 1 \|a csc(x) + a +--R Type: Expression Integer +--E 376 + +--S 377 of 528 +d0372b:= D(m0372b,x) +--R +--R +--R (339) +--R 2 2 +--R (- 8a cos(x) + 16a cos(x) - 8a)csc(x) +--R + +--R 2 2 2 +--R (8a cos(x) - 16a cos(x) + 8a)cot(x) + 8a cos(x) +--R + +--R - 16a cos(x) + 8a +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 2 +--R (- 32a cos(x) + 64a cos(x) - 32a cos(x))csc(x) +--R + +--R 3 2 2 3 +--R (32a cos(x) - 64a cos(x) + 32a cos(x))cot(x) + 32a cos(x) +--R + +--R 2 +--R - 64a cos(x) + 32a cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 4 3 2 +--R (- 16a cos(x) + 64a cos(x) - 80a cos(x) + 32a cos(x)) +--R * +--R 2 +--R csc(x) +--R + +--R 4 3 2 2 +--R (16a cos(x) - 64a cos(x) + 80a cos(x) - 32a cos(x))cot(x) +--R + +--R 4 3 2 +--R 16a cos(x) - 64a cos(x) + 80a cos(x) - 32a cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 5 4 2 +--R - 32a cos(x) + 64a cos(x) - 32a cos(x) - 32a cos(x) +--R + +--R 32a +--R * +--R 2 +--R csc(x) +--R + +--R 5 4 2 +--R 32a cos(x) - 64a cos(x) + 32a cos(x) + 32a cos(x) +--R + +--R - 32a +--R * +--R 2 +--R cot(x) +--R + +--R 5 4 2 +--R 32a cos(x) - 64a cos(x) + 32a cos(x) + 32a cos(x) - 32a +--R * +--R sin(x) +--R + +--R 6 5 4 3 +--R - 8a cos(x) + 48a cos(x) - 40a cos(x) - 64a cos(x) +--R + +--R 2 +--R 64a cos(x) + 32a cos(x) - 32a +--R * +--R 2 +--R csc(x) +--R + +--R 6 5 4 3 +--R 8a cos(x) - 48a cos(x) + 40a cos(x) + 64a cos(x) +--R + +--R 2 +--R - 64a cos(x) - 32a cos(x) + 32a +--R * +--R 2 +--R cot(x) +--R + +--R 6 5 4 3 +--R 8a cos(x) - 48a cos(x) + 40a cos(x) + 64a cos(x) +--R + +--R 2 +--R - 64a cos(x) - 32a cos(x) + 32a +--R * +--R +---------------+3 +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 2 2 2 2 2 2 2 +--R (8a cos(x) - 8a )csc(x) + (- 8a cos(x) + 8a )cot(x) +--R + +--R 2 2 2 +--R - 8a cos(x) + 8a +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 2 2 2 2 2 2 +--R (- 16a cos(x) + 16a )csc(x) + (16a cos(x) - 16a )cot(x) +--R + +--R 2 2 2 +--R 16a cos(x) - 16a +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 2 2 2 2 2 2 +--R (8a cos(x) - 8a )csc(x) + (- 8a cos(x) + 8a )cot(x) +--R + +--R 2 2 2 +--R - 8a cos(x) + 8a +--R * +--R 2 +--R sin(x) +--R + +--R 2 4 2 2 2 2 +--R (- 16a cos(x) + 32a cos(x) - 16a )csc(x) +--R + +--R 2 4 2 2 2 2 2 4 +--R (16a cos(x) - 32a cos(x) + 16a )cot(x) + 16a cos(x) +--R + +--R 2 2 2 +--R - 32a cos(x) + 16a +--R * +--R sin(x) +--R + +--R 2 6 2 4 2 2 2 2 +--R (- 8a cos(x) + 32a cos(x) - 40a cos(x) + 16a )csc(x) +--R + +--R 2 6 2 4 2 2 2 2 +--R (8a cos(x) - 32a cos(x) + 40a cos(x) - 16a )cot(x) +--R + +--R 2 6 2 4 2 2 2 +--R 8a cos(x) - 32a cos(x) + 40a cos(x) - 16a +--R * +--R +---------------+ +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R * +--R +----------+ +--R atan(\|csc(x) - 1 ) +--R + +--R 2 2 2 +--R (- 4a cos(x) - 2a cos(x) + 6a)csc(x) + 4a cos(x) +--R + +--R 2a cos(x) - 6a +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 2 3 +--R (8a cos(x) - 2a cos(x) - 6a)csc(x) - 8a cos(x) +--R + +--R 2 +--R 2a cos(x) + 6a +--R * +--R 3 +--R sin(x) +--R + +--R 3 2 2 +--R (- 14a cos(x) + 14a cos(x) + 4a cos(x) - 4a)csc(x) +--R + +--R 3 2 +--R 14a cos(x) - 14a cos(x) - 4a cos(x) + 4a +--R * +--R 2 +--R sin(x) +--R + +--R 5 4 3 2 +--R (8a cos(x) - 2a cos(x) - 4a cos(x) - 10a cos(x) + 8a) +--R * +--R 2 +--R csc(x) +--R + +--R 5 4 3 2 +--R - 8a cos(x) + 2a cos(x) + 4a cos(x) + 10a cos(x) - 8a +--R * +--R sin(x) +--R + +--R 6 5 4 3 +--R 4a cos(x) - 12a cos(x) - 4a cos(x) + 20a cos(x) +--R + +--R - 8a cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R 6 5 4 3 +--R - 4a cos(x) + 12a cos(x) + 4a cos(x) - 20a cos(x) + 8a cos(x) +--R * +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 2 2 5 +--R (a csc(x) - a )sin(x) +--R + +--R 2 2 2 2 2 2 2 2 +--R (- 2a cos(x) + a cos(x) - 2a )csc(x) + 2a cos(x) - a cos(x) +--R + +--R 2 +--R 2a +--R * +--R 4 +--R sin(x) +--R + +--R 2 3 2 2 2 2 2 2 3 +--R (- 4a cos(x) + 3a cos(x) + a cos(x) + 3a )csc(x) + 4a cos(x) +--R + +--R 2 2 2 2 +--R - 3a cos(x) - a cos(x) - 3a +--R * +--R 3 +--R sin(x) +--R + +--R 2 3 2 2 2 2 2 2 3 +--R (5a cos(x) - 6a cos(x) - 2a cos(x) + 2a )csc(x) - 5a cos(x) +--R + +--R 2 2 2 2 +--R 6a cos(x) + 2a cos(x) - 2a +--R * +--R 2 +--R sin(x) +--R + +--R 2 5 2 4 2 3 2 2 +--R - 4a cos(x) + 2a cos(x) + 7a cos(x) + 3a cos(x) +--R + +--R 2 2 +--R - 4a cos(x) - 4a +--R * +--R 2 +--R csc(x) +--R + +--R 2 5 2 4 2 3 2 2 2 2 +--R 4a cos(x) - 2a cos(x) - 7a cos(x) - 3a cos(x) + 4a cos(x) + 4a +--R * +--R sin(x) +--R + +--R 2 6 2 5 2 4 2 3 2 2 +--R 2a cos(x) + 4a cos(x) - 6a cos(x) - 8a cos(x) + 4a cos(x) +--R + +--R 2 +--R 4a cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R 2 6 2 5 2 4 2 3 2 2 +--R - 2a cos(x) - 4a cos(x) + 6a cos(x) + 8a cos(x) - 4a cos(x) +--R + +--R 2 +--R - 4a cos(x) +--R * +--R +----------+ +------------+ +--R \|csc(x) - 1 \|a csc(x) + a +--R + +--R 2 2 +--R (- 4a cos(x) + 8a cos(x) - 4a)cot(x) csc(x) +--R + +--R 2 2 +--R (- 4a cos(x) + 8a cos(x) - 4a)cot(x) +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 2 +--R (- 16a cos(x) + 32a cos(x) - 16a cos(x))cot(x) csc(x) +--R + +--R 3 2 2 +--R (- 16a cos(x) + 32a cos(x) - 16a cos(x))cot(x) +--R * +--R 3 +--R sin(x) +--R + +--R 4 3 2 +--R (- 8a cos(x) + 32a cos(x) - 40a cos(x) + 16a cos(x)) +--R * +--R 2 +--R cot(x) csc(x) +--R + +--R 4 3 2 2 +--R (- 8a cos(x) + 32a cos(x) - 40a cos(x) + 16a cos(x))cot(x) +--R * +--R 2 +--R sin(x) +--R + +--R 5 4 2 +--R - 16a cos(x) + 32a cos(x) - 16a cos(x) - 16a cos(x) +--R + +--R 16a +--R * +--R 2 +--R cot(x) csc(x) +--R + +--R 5 4 2 +--R - 16a cos(x) + 32a cos(x) - 16a cos(x) - 16a cos(x) +--R + +--R 16a +--R * +--R 2 +--R cot(x) +--R * +--R sin(x) +--R + +--R 6 5 4 3 +--R - 4a cos(x) + 24a cos(x) - 20a cos(x) - 32a cos(x) +--R + +--R 2 +--R 32a cos(x) + 16a cos(x) - 16a +--R * +--R 2 +--R cot(x) csc(x) +--R + +--R 6 5 4 3 +--R - 4a cos(x) + 24a cos(x) - 20a cos(x) - 32a cos(x) +--R + +--R 2 +--R 32a cos(x) + 16a cos(x) - 16a +--R * +--R 2 +--R cot(x) +--R * +--R +---------------+3 +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 2 2 2 2 2 2 2 +--R ((4a cos(x) - 4a )cot(x) csc(x) + (4a cos(x) - 4a )cot(x) ) +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 2 2 +--R (- 8a cos(x) + 8a )cot(x) csc(x) +--R + +--R 2 2 2 2 +--R (- 8a cos(x) + 8a )cot(x) +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 2 2 2 2 2 2 +--R ((4a cos(x) - 4a )cot(x) csc(x) + (4a cos(x) - 4a )cot(x) ) +--R * +--R 2 +--R sin(x) +--R + +--R 2 4 2 2 2 2 +--R (- 8a cos(x) + 16a cos(x) - 8a )cot(x) csc(x) +--R + +--R 2 4 2 2 2 2 +--R (- 8a cos(x) + 16a cos(x) - 8a )cot(x) +--R * +--R sin(x) +--R + +--R 2 6 2 4 2 2 2 2 +--R (- 4a cos(x) + 16a cos(x) - 20a cos(x) + 8a )cot(x) csc(x) +--R + +--R 2 6 2 4 2 2 2 2 +--R (- 4a cos(x) + 16a cos(x) - 20a cos(x) + 8a )cot(x) +--R * +--R +---------------+ +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R * +--R +----------+ +--R \|csc(x) - 1 +--R / +--R 2 2 2 4 +--R ((4cos(x) - 8cos(x) + 4)csc(x) - 4cos(x) + 8cos(x) - 4)sin(x) +--R + +--R 3 2 2 3 +--R (16cos(x) - 32cos(x) + 16cos(x))csc(x) - 16cos(x) +--R + +--R 2 +--R 32cos(x) - 16cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 4 3 2 2 4 +--R (8cos(x) - 32cos(x) + 40cos(x) - 16cos(x))csc(x) - 8cos(x) +--R + +--R 3 2 +--R 32cos(x) - 40cos(x) + 16cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 5 4 2 2 +--R (16cos(x) - 32cos(x) + 16cos(x) + 16cos(x) - 16)csc(x) +--R + +--R 5 4 2 +--R - 16cos(x) + 32cos(x) - 16cos(x) - 16cos(x) + 16 +--R * +--R sin(x) +--R + +--R 6 5 4 3 2 +--R 4cos(x) - 24cos(x) + 20cos(x) + 32cos(x) - 32cos(x) +--R + +--R - 16cos(x) + 16 +--R * +--R 2 +--R csc(x) +--R + +--R 6 5 4 3 2 +--R - 4cos(x) + 24cos(x) - 20cos(x) - 32cos(x) + 32cos(x) +--R + +--R 16cos(x) - 16 +--R * +--R +---------------+3 +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 2 2 4 +--R ((- 4a cos(x) + 4a)csc(x) + 4a cos(x) - 4a)sin(x) +--R + +--R 2 2 2 3 +--R ((8a cos(x) - 8a)csc(x) - 8a cos(x) + 8a)sin(x) +--R + +--R 2 2 2 2 +--R ((- 4a cos(x) + 4a)csc(x) + 4a cos(x) - 4a)sin(x) +--R + +--R 4 2 2 4 +--R (8a cos(x) - 16a cos(x) + 8a)csc(x) - 8a cos(x) +--R + +--R 2 +--R 16a cos(x) - 8a +--R * +--R sin(x) +--R + +--R 6 4 2 2 6 +--R (4a cos(x) - 16a cos(x) + 20a cos(x) - 8a)csc(x) - 4a cos(x) +--R + +--R 4 2 +--R 16a cos(x) - 20a cos(x) + 8a +--R * +--R +---------------+ +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R * +--R +----------+ +------------+ +--R \|csc(x) - 1 \|a csc(x) + a +--R Type: Expression Integer +--E 377 + +--S 378 of 528 +t0373:= (a-a*csc(x))^(1/2) +--R +--R +--R +--------------+ +--R (340) \|- a csc(x) + a +--R Type: Expression Integer +--E 378 + +--S 379 of 528 +r0373:= -2*a*atan((-1-csc(x))^(1/2))*cot(x)/(-1-csc(x))^(1/2)/(a-a*csc(x))^(1/2) +--R +--R +--R +------------+ +--R 2a cot(x)atan(\|- csc(x) - 1 ) +--R (341) - -------------------------------- +--R +--------------+ +------------+ +--R \|- a csc(x) + a \|- csc(x) - 1 +--R Type: Expression Integer +--E 379 + +--S 380 of 528 +a0373:= integrate(t0373,x) +--R +--R +--R (342) +--R [ +--R +---+ +--R \|- a +--R * +--R log +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R ((8cos(x) - 8)sin(x) + 8cos(x) - 8) 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 +---+ +--R ((- 8cos(x) + 12)sin(x) - 8cos(x) - 4cos(x) + 12)\|- a +--R * +--R +---------------+ +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 +--R 4a sin(x) - 4a cos(x) + 5a +--R / +--R 2 +--R , +--R +---------------+ +--R | 2 2 +--R +-+ |- a cos(x) - a +--R (2sin(x) - 2cos(x) + 2)\|a 4|--------------- +--R +-+ \| 4cos(x) - 4 +--R - \|a atan(-----------------------------------------------)] +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R (2cos(x) - 2) 4|--------------- + a sin(x) + a +--R \| 4cos(x) - 4 +--R Type: Union(List Expression Integer,...) +--E 380 + +--S 381 of 528 +m0373a:= a0373.1-r0373 +--R +--R +--R (343) +--R +---+ +--------------+ +------------+ +--R \|- a \|- a csc(x) + a \|- csc(x) - 1 +--R * +--R log +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R ((8cos(x) - 8)sin(x) + 8cos(x) - 8) 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 +---+ +--R ((- 8cos(x) + 12)sin(x) - 8cos(x) - 4cos(x) + 12)\|- a +--R * +--R +---------------+ +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 +--R 4a sin(x) - 4a cos(x) + 5a +--R + +--R +------------+ +--R 4a cot(x)atan(\|- csc(x) - 1 ) +--R / +--R +--------------+ +------------+ +--R 2\|- a csc(x) + a \|- csc(x) - 1 +--R Type: Expression Integer +--E 381 + +--S 382 of 528 +d0373a:= D(m0373a,x) +--R +--R +--R (344) +--R 2 2 +--R (- 32a cos(x) + 64a cos(x) - 32a)csc(x) +--R + +--R 2 2 2 +--R (32a cos(x) - 64a cos(x) + 32a)cot(x) + 32a cos(x) +--R + +--R - 64a cos(x) + 32a +--R * +--R sin(x) +--R + +--R 4 3 2 +--R (32a cos(x) - 64a cos(x) - 8a cos(x) + 80a cos(x) - 40a) +--R * +--R 2 +--R csc(x) +--R + +--R 4 3 2 +--R (- 32a cos(x) + 64a cos(x) + 8a cos(x) - 80a cos(x) + 40a) +--R * +--R 2 +--R cot(x) +--R + +--R 4 3 2 +--R - 32a cos(x) + 64a cos(x) + 8a cos(x) - 80a cos(x) + 40a +--R * +--R +---------------+3 +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 3 2 2 2 2 2 +--R (16a cos(x) - 16a cos(x) - 16a cos(x) + 16a )csc(x) +--R + +--R 2 3 2 2 2 2 2 +--R (- 16a cos(x) + 16a cos(x) + 16a cos(x) - 16a )cot(x) +--R + +--R 2 3 2 2 2 2 +--R - 16a cos(x) + 16a cos(x) + 16a cos(x) - 16a +--R * +--R sin(x) +--R + +--R 2 3 2 2 2 2 2 +--R (16a cos(x) - 16a cos(x) - 16a cos(x) + 16a )csc(x) +--R + +--R 2 3 2 2 2 2 2 +--R (- 16a cos(x) + 16a cos(x) + 16a cos(x) - 16a )cot(x) +--R + +--R 2 3 2 2 2 2 +--R - 16a cos(x) + 16a cos(x) + 16a cos(x) - 16a +--R * +--R +---------------+ +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 3 2 2 2 2 2 +--R (- 16a cos(x) + 24a cos(x) + 16a cos(x) - 24a )csc(x) +--R + +--R 2 3 2 2 2 2 2 +--R (16a cos(x) - 24a cos(x) - 16a cos(x) + 24a )cot(x) +--R + +--R 2 3 2 2 2 2 +--R 16a cos(x) - 24a cos(x) - 16a cos(x) + 24a +--R * +--R sin(x) +--R + +--R 2 4 2 3 2 2 2 2 +--R (- 16a cos(x) - 8a cos(x) + 40a cos(x) + 8a cos(x) - 24a ) +--R * +--R 2 +--R csc(x) +--R + +--R 2 4 2 3 2 2 2 2 +--R (16a cos(x) + 8a cos(x) - 40a cos(x) - 8a cos(x) + 24a ) +--R * +--R 2 +--R cot(x) +--R + +--R 2 4 2 3 2 2 2 2 +--R 16a cos(x) + 8a cos(x) - 40a cos(x) - 8a cos(x) + 24a +--R * +--R +---+ +--R \|- a +--R * +--R +------------+ +--R atan(\|- csc(x) - 1 ) +--R + +--R 3 2 2 3 +--R (16cos(x) - 32cos(x) + 16cos(x))csc(x) - 16cos(x) +--R + +--R 2 +--R 32cos(x) - 16cos(x) +--R * +--R sin(x) +--R + +--R 3 2 2 3 2 +--R (8cos(x) - 16cos(x) + 8cos(x))csc(x) - 8cos(x) + 16cos(x) +--R + +--R - 8cos(x) +--R * +--R +---+ +--------------+ +--R \|- a \|- a csc(x) + a +--R + +--R 2 2 +--R (16a cos(x) - 32a cos(x) + 16a)cot(x) csc(x) +--R + +--R 2 2 +--R (- 16a cos(x) + 32a cos(x) - 16a)cot(x) +--R * +--R sin(x) +--R + +--R 4 3 2 +--R (- 16a cos(x) + 32a cos(x) + 4a cos(x) - 40a cos(x) + 20a) +--R * +--R 2 +--R cot(x) csc(x) +--R + +--R 4 3 2 2 +--R (16a cos(x) - 32a cos(x) - 4a cos(x) + 40a cos(x) - 20a)cot(x) +--R * +--R +---------------+3 +--R | 2 2 +--R +------------+ |- a cos(x) - a +--R \|- csc(x) - 1 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 2 2 2 +--R ((4a cos(x) - 4a cos(x))csc(x) - 4a cos(x) + 4a cos(x))sin(x) +--R + +--R 2 2 2 +--R ((4a cos(x) - 4a cos(x))csc(x) - 4a cos(x) + 4a cos(x))sin(x) +--R + +--R 4 3 2 2 +--R (- 4a cos(x) + 4a cos(x) + 4a cos(x) - 4a cos(x))csc(x) +--R + +--R 4 3 2 +--R 4a cos(x) - 4a cos(x) - 4a cos(x) + 4a cos(x) +--R * +--R +---+ +--------------+ +--R \|- a \|- a csc(x) + a +--R + +--R 2 3 2 2 2 2 2 +--R (- 8a cos(x) + 8a cos(x) + 8a cos(x) - 8a )cot(x) csc(x) +--R + +--R 2 3 2 2 2 2 2 +--R (8a cos(x) - 8a cos(x) - 8a cos(x) + 8a )cot(x) +--R * +--R sin(x) +--R + +--R 2 3 2 2 2 2 2 +--R (- 8a cos(x) + 8a cos(x) + 8a cos(x) - 8a )cot(x) csc(x) +--R + +--R 2 3 2 2 2 2 2 +--R (8a cos(x) - 8a cos(x) - 8a cos(x) + 8a )cot(x) +--R * +--R +---------------+ +--R | 2 2 +--R +------------+ |- a cos(x) - a +--R \|- csc(x) - 1 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 2 2 2 2 2 2 2 +--R (4a cos(x) - 2a cos(x) - a )csc(x) - 4a cos(x) + 2a cos(x) +--R + +--R 2 +--R a +--R * +--R 2 +--R sin(x) +--R + +--R 2 3 2 2 2 2 3 2 +--R (8a cos(x) - 9a cos(x) + a )csc(x) - 8a cos(x) + 9a cos(x) +--R + +--R 2 +--R - a +--R * +--R sin(x) +--R + +--R 2 4 2 3 2 2 2 2 +--R (- 4a cos(x) + 6a cos(x) + 4a cos(x) - 6a cos(x))csc(x) +--R + +--R 2 4 2 3 2 2 2 +--R 4a cos(x) - 6a cos(x) - 4a cos(x) + 6a cos(x) +--R * +--R +--------------+ +--R \|- a csc(x) + a +--R + +--R 2 3 2 2 2 2 2 +--R (8a cos(x) - 12a cos(x) - 8a cos(x) + 12a )cot(x) csc(x) +--R + +--R 2 3 2 2 2 2 2 +--R (- 8a cos(x) + 12a cos(x) + 8a cos(x) - 12a )cot(x) +--R * +--R sin(x) +--R + +--R 2 4 2 3 2 2 2 2 +--R (8a cos(x) + 4a cos(x) - 20a cos(x) - 4a cos(x) + 12a ) +--R * +--R 2 +--R cot(x) csc(x) +--R + +--R 2 4 2 3 2 2 2 2 2 +--R (- 8a cos(x) - 4a cos(x) + 20a cos(x) + 4a cos(x) - 12a )cot(x) +--R * +--R +---+ +--R \|- a +--R * +--R +------------+ +--R \|- csc(x) - 1 +--R / +--R 2 2 2 +--R ((16cos(x) - 32cos(x) + 16)csc(x) - 16cos(x) + 32cos(x) - 16) +--R * +--R sin(x) +--R + +--R 4 3 2 2 +--R (- 16cos(x) + 32cos(x) + 4cos(x) - 40cos(x) + 20)csc(x) +--R + +--R 4 3 2 +--R 16cos(x) - 32cos(x) - 4cos(x) + 40cos(x) - 20 +--R * +--R +---------------+3 +--R | 2 2 +--R +--------------+ +------------+ |- a cos(x) - a +--R \|- a csc(x) + a \|- csc(x) - 1 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 3 2 2 3 +--R (- 8a cos(x) + 8a cos(x) + 8a cos(x) - 8a)csc(x) + 8a cos(x) +--R + +--R 2 +--R - 8a cos(x) - 8a cos(x) + 8a +--R * +--R sin(x) +--R + +--R 3 2 2 3 +--R (- 8a cos(x) + 8a cos(x) + 8a cos(x) - 8a)csc(x) + 8a cos(x) +--R + +--R 2 +--R - 8a cos(x) - 8a cos(x) + 8a +--R * +--R +---------------+ +--R | 2 2 +--R +--------------+ +------------+ |- a cos(x) - a +--R \|- a csc(x) + a \|- csc(x) - 1 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 3 2 2 3 +--R (8a cos(x) - 12a cos(x) - 8a cos(x) + 12a)csc(x) - 8a cos(x) +--R + +--R 2 +--R 12a cos(x) + 8a cos(x) - 12a +--R * +--R sin(x) +--R + +--R 4 3 2 2 +--R (8a cos(x) + 4a cos(x) - 20a cos(x) - 4a cos(x) + 12a)csc(x) +--R + +--R 4 3 2 +--R - 8a cos(x) - 4a cos(x) + 20a cos(x) + 4a cos(x) - 12a +--R * +--R +---+ +--------------+ +------------+ +--R \|- a \|- a csc(x) + a \|- csc(x) - 1 +--R Type: Expression Integer +--E 382 + +--S 383 of 528 +m0373b:= a0373.2-r0373 +--R +--R +--R (345) +--R +------------+ +--R 2a cot(x)atan(\|- csc(x) - 1 ) +--R + +--R - +--R +-+ +--------------+ +------------+ +--R \|a \|- a csc(x) + a \|- csc(x) - 1 +--R * +--R +---------------+ +--R | 2 2 +--R +-+ |- a cos(x) - a +--R (2sin(x) - 2cos(x) + 2)\|a 4|--------------- +--R \| 4cos(x) - 4 +--R atan(-----------------------------------------------) +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R (2cos(x) - 2) 4|--------------- + a sin(x) + a +--R \| 4cos(x) - 4 +--R / +--R +--------------+ +------------+ +--R \|- a csc(x) + a \|- csc(x) - 1 +--R Type: Expression Integer +--E 383 + +--S 384 of 528 +d0373b:= D(m0373b,x) +--R +--R +--R (346) +--R 2 2 +--R (- 8a cos(x) + 16a cos(x) - 8a)csc(x) +--R + +--R 2 2 2 +--R (8a cos(x) - 16a cos(x) + 8a)cot(x) + 8a cos(x) +--R + +--R - 16a cos(x) + 8a +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 2 +--R (32a cos(x) - 64a cos(x) + 32a cos(x))csc(x) +--R + +--R 3 2 2 +--R (- 32a cos(x) + 64a cos(x) - 32a cos(x))cot(x) +--R + +--R 3 2 +--R - 32a cos(x) + 64a cos(x) - 32a cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 4 3 2 +--R (- 16a cos(x) + 64a cos(x) - 80a cos(x) + 32a cos(x)) +--R * +--R 2 +--R csc(x) +--R + +--R 4 3 2 2 +--R (16a cos(x) - 64a cos(x) + 80a cos(x) - 32a cos(x))cot(x) +--R + +--R 4 3 2 +--R 16a cos(x) - 64a cos(x) + 80a cos(x) - 32a cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 5 4 2 +--R 32a cos(x) - 64a cos(x) + 32a cos(x) + 32a cos(x) +--R + +--R - 32a +--R * +--R 2 +--R csc(x) +--R + +--R 5 4 2 +--R - 32a cos(x) + 64a cos(x) - 32a cos(x) - 32a cos(x) +--R + +--R 32a +--R * +--R 2 +--R cot(x) +--R + +--R 5 4 2 +--R - 32a cos(x) + 64a cos(x) - 32a cos(x) - 32a cos(x) + 32a +--R * +--R sin(x) +--R + +--R 6 5 4 3 +--R - 8a cos(x) + 48a cos(x) - 40a cos(x) - 64a cos(x) +--R + +--R 2 +--R 64a cos(x) + 32a cos(x) - 32a +--R * +--R 2 +--R csc(x) +--R + +--R 6 5 4 3 +--R 8a cos(x) - 48a cos(x) + 40a cos(x) + 64a cos(x) +--R + +--R 2 +--R - 64a cos(x) - 32a cos(x) + 32a +--R * +--R 2 +--R cot(x) +--R + +--R 6 5 4 3 +--R 8a cos(x) - 48a cos(x) + 40a cos(x) + 64a cos(x) +--R + +--R 2 +--R - 64a cos(x) - 32a cos(x) + 32a +--R * +--R +---------------+3 +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 2 2 2 2 2 2 2 +--R (8a cos(x) - 8a )csc(x) + (- 8a cos(x) + 8a )cot(x) +--R + +--R 2 2 2 +--R - 8a cos(x) + 8a +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 2 2 2 2 2 2 +--R (16a cos(x) - 16a )csc(x) + (- 16a cos(x) + 16a )cot(x) +--R + +--R 2 2 2 +--R - 16a cos(x) + 16a +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 2 2 2 2 2 2 +--R (8a cos(x) - 8a )csc(x) + (- 8a cos(x) + 8a )cot(x) +--R + +--R 2 2 2 +--R - 8a cos(x) + 8a +--R * +--R 2 +--R sin(x) +--R + +--R 2 4 2 2 2 2 +--R (16a cos(x) - 32a cos(x) + 16a )csc(x) +--R + +--R 2 4 2 2 2 2 2 4 +--R (- 16a cos(x) + 32a cos(x) - 16a )cot(x) - 16a cos(x) +--R + +--R 2 2 2 +--R 32a cos(x) - 16a +--R * +--R sin(x) +--R + +--R 2 6 2 4 2 2 2 2 +--R (- 8a cos(x) + 32a cos(x) - 40a cos(x) + 16a )csc(x) +--R + +--R 2 6 2 4 2 2 2 2 +--R (8a cos(x) - 32a cos(x) + 40a cos(x) - 16a )cot(x) +--R + +--R 2 6 2 4 2 2 2 +--R 8a cos(x) - 32a cos(x) + 40a cos(x) - 16a +--R * +--R +---------------+ +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R * +--R +------------+ +--R atan(\|- csc(x) - 1 ) +--R + +--R 2 2 +--R (4a cos(x) - 8a cos(x) + 4a)cot(x) csc(x) +--R + +--R 2 2 +--R (- 4a cos(x) + 8a cos(x) - 4a)cot(x) +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 2 +--R (- 16a cos(x) + 32a cos(x) - 16a cos(x))cot(x) csc(x) +--R + +--R 3 2 2 +--R (16a cos(x) - 32a cos(x) + 16a cos(x))cot(x) +--R * +--R 3 +--R sin(x) +--R + +--R 4 3 2 2 +--R (8a cos(x) - 32a cos(x) + 40a cos(x) - 16a cos(x))cot(x) +--R * +--R csc(x) +--R + +--R 4 3 2 2 +--R (- 8a cos(x) + 32a cos(x) - 40a cos(x) + 16a cos(x))cot(x) +--R * +--R 2 +--R sin(x) +--R + +--R 5 4 2 +--R (- 16a cos(x) + 32a cos(x) - 16a cos(x) - 16a cos(x) + 16a) +--R * +--R 2 +--R cot(x) csc(x) +--R + +--R 5 4 2 2 +--R (16a cos(x) - 32a cos(x) + 16a cos(x) + 16a cos(x) - 16a)cot(x) +--R * +--R sin(x) +--R + +--R 6 5 4 3 +--R 4a cos(x) - 24a cos(x) + 20a cos(x) + 32a cos(x) +--R + +--R 2 +--R - 32a cos(x) - 16a cos(x) + 16a +--R * +--R 2 +--R cot(x) csc(x) +--R + +--R 6 5 4 3 +--R - 4a cos(x) + 24a cos(x) - 20a cos(x) - 32a cos(x) +--R + +--R 2 +--R 32a cos(x) + 16a cos(x) - 16a +--R * +--R 2 +--R cot(x) +--R * +--R +---------------+3 +--R | 2 2 +--R +------------+ |- a cos(x) - a +--R \|- csc(x) - 1 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 2 2 +--R (4a cos(x) + 2a cos(x) - 6a)csc(x) - 4a cos(x) - 2a cos(x) +--R + +--R 6a +--R * +--R 4 +--R sin(x) +--R + +--R 3 2 2 3 2 +--R (8a cos(x) - 2a cos(x) - 6a)csc(x) - 8a cos(x) + 2a cos(x) +--R + +--R 6a +--R * +--R 3 +--R sin(x) +--R + +--R 3 2 2 3 +--R (14a cos(x) - 14a cos(x) - 4a cos(x) + 4a)csc(x) - 14a cos(x) +--R + +--R 2 +--R 14a cos(x) + 4a cos(x) - 4a +--R * +--R 2 +--R sin(x) +--R + +--R 5 4 3 2 2 +--R (8a cos(x) - 2a cos(x) - 4a cos(x) - 10a cos(x) + 8a)csc(x) +--R + +--R 5 4 3 2 +--R - 8a cos(x) + 2a cos(x) + 4a cos(x) + 10a cos(x) - 8a +--R * +--R sin(x) +--R + +--R 6 5 4 3 +--R (- 4a cos(x) + 12a cos(x) + 4a cos(x) - 20a cos(x) + 8a cos(x)) +--R * +--R 2 +--R csc(x) +--R + +--R 6 5 4 3 +--R 4a cos(x) - 12a cos(x) - 4a cos(x) + 20a cos(x) - 8a cos(x) +--R * +--R +---------------+2 +--R | 2 2 +--R +--------------+ +------------+ |- a cos(x) - a +--R \|- a csc(x) + a \|- csc(x) - 1 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 2 2 2 2 2 2 2 +--R ((- 4a cos(x) + 4a )cot(x) csc(x) + (4a cos(x) - 4a )cot(x) ) +--R * +--R 4 +--R sin(x) +--R + +--R 2 2 2 2 2 2 2 2 +--R ((- 8a cos(x) + 8a )cot(x) csc(x) + (8a cos(x) - 8a )cot(x) ) +--R * +--R 3 +--R sin(x) +--R + +--R 2 2 2 2 2 2 2 2 +--R ((- 4a cos(x) + 4a )cot(x) csc(x) + (4a cos(x) - 4a )cot(x) ) +--R * +--R 2 +--R sin(x) +--R + +--R 2 4 2 2 2 2 +--R (- 8a cos(x) + 16a cos(x) - 8a )cot(x) csc(x) +--R + +--R 2 4 2 2 2 2 +--R (8a cos(x) - 16a cos(x) + 8a )cot(x) +--R * +--R sin(x) +--R + +--R 2 6 2 4 2 2 2 2 +--R (4a cos(x) - 16a cos(x) + 20a cos(x) - 8a )cot(x) csc(x) +--R + +--R 2 6 2 4 2 2 2 2 +--R (- 4a cos(x) + 16a cos(x) - 20a cos(x) + 8a )cot(x) +--R * +--R +---------------+ +--R | 2 2 +--R +------------+ |- a cos(x) - a +--R \|- csc(x) - 1 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 2 2 5 +--R (a csc(x) - a )sin(x) +--R + +--R 2 2 2 2 2 2 2 2 +--R (2a cos(x) - a cos(x) + 2a )csc(x) - 2a cos(x) + a cos(x) +--R + +--R 2 +--R - 2a +--R * +--R 4 +--R sin(x) +--R + +--R 2 3 2 2 2 2 2 2 3 +--R (- 4a cos(x) + 3a cos(x) + a cos(x) + 3a )csc(x) + 4a cos(x) +--R + +--R 2 2 2 2 +--R - 3a cos(x) - a cos(x) - 3a +--R * +--R 3 +--R sin(x) +--R + +--R 2 3 2 2 2 2 2 2 3 +--R (- 5a cos(x) + 6a cos(x) + 2a cos(x) - 2a )csc(x) + 5a cos(x) +--R + +--R 2 2 2 2 +--R - 6a cos(x) - 2a cos(x) + 2a +--R * +--R 2 +--R sin(x) +--R + +--R 2 5 2 4 2 3 2 2 +--R - 4a cos(x) + 2a cos(x) + 7a cos(x) + 3a cos(x) +--R + +--R 2 2 +--R - 4a cos(x) - 4a +--R * +--R 2 +--R csc(x) +--R + +--R 2 5 2 4 2 3 2 2 2 2 +--R 4a cos(x) - 2a cos(x) - 7a cos(x) - 3a cos(x) + 4a cos(x) + 4a +--R * +--R sin(x) +--R + +--R 2 6 2 5 2 4 2 3 2 2 +--R - 2a cos(x) - 4a cos(x) + 6a cos(x) + 8a cos(x) - 4a cos(x) +--R + +--R 2 +--R - 4a cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R 2 6 2 5 2 4 2 3 2 2 +--R 2a cos(x) + 4a cos(x) - 6a cos(x) - 8a cos(x) + 4a cos(x) +--R + +--R 2 +--R 4a cos(x) +--R * +--R +--------------+ +------------+ +--R \|- a csc(x) + a \|- csc(x) - 1 +--R / +--R 2 2 2 4 +--R ((4cos(x) - 8cos(x) + 4)csc(x) - 4cos(x) + 8cos(x) - 4)sin(x) +--R + +--R 3 2 2 3 +--R (- 16cos(x) + 32cos(x) - 16cos(x))csc(x) + 16cos(x) +--R + +--R 2 +--R - 32cos(x) + 16cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 4 3 2 2 4 +--R (8cos(x) - 32cos(x) + 40cos(x) - 16cos(x))csc(x) - 8cos(x) +--R + +--R 3 2 +--R 32cos(x) - 40cos(x) + 16cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 5 4 2 2 +--R (- 16cos(x) + 32cos(x) - 16cos(x) - 16cos(x) + 16)csc(x) +--R + +--R 5 4 2 +--R 16cos(x) - 32cos(x) + 16cos(x) + 16cos(x) - 16 +--R * +--R sin(x) +--R + +--R 6 5 4 3 2 +--R 4cos(x) - 24cos(x) + 20cos(x) + 32cos(x) - 32cos(x) +--R + +--R - 16cos(x) + 16 +--R * +--R 2 +--R csc(x) +--R + +--R 6 5 4 3 2 +--R - 4cos(x) + 24cos(x) - 20cos(x) - 32cos(x) + 32cos(x) + 16cos(x) +--R + +--R - 16 +--R * +--R +---------------+3 +--R | 2 2 +--R +--------------+ +------------+ |- a cos(x) - a +--R \|- a csc(x) + a \|- csc(x) - 1 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 2 2 4 +--R ((- 4a cos(x) + 4a)csc(x) + 4a cos(x) - 4a)sin(x) +--R + +--R 2 2 2 3 +--R ((- 8a cos(x) + 8a)csc(x) + 8a cos(x) - 8a)sin(x) +--R + +--R 2 2 2 2 +--R ((- 4a cos(x) + 4a)csc(x) + 4a cos(x) - 4a)sin(x) +--R + +--R 4 2 2 4 +--R (- 8a cos(x) + 16a cos(x) - 8a)csc(x) + 8a cos(x) +--R + +--R 2 +--R - 16a cos(x) + 8a +--R * +--R sin(x) +--R + +--R 6 4 2 2 6 +--R (4a cos(x) - 16a cos(x) + 20a cos(x) - 8a)csc(x) - 4a cos(x) +--R + +--R 4 2 +--R 16a cos(x) - 20a cos(x) + 8a +--R * +--R +---------------+ +--R | 2 2 +--R +--------------+ +------------+ |- a cos(x) - a +--R \|- a csc(x) + a \|- csc(x) - 1 4|--------------- +--R \| 4cos(x) - 4 +--R Type: Expression Integer +--E 384 + +--S 385 of 528 +t0374:= 1/(a+a*csc(x))^(1/2) +--R +--R +--R 1 +--R (347) --------------- +--R +------------+ +--R \|a csc(x) + a +--R Type: Expression Integer +--E 385 + +--S 386 of 528 +r0374:= -(2^(1/2)*atan(2^(1/2)*a^(1/2)/(-a+a*csc(x))^(1/2))+2*atan((-a+a*csc(x))^(1/2)/a^(1/2)))*(-a+a*csc(x))^(1/2)*(a+a*csc(x))^(1/2)*tan(x)/a^(3/2) +--R +--R +--R (348) +--R +------------+ +--R +------------+ +------------+ \|a csc(x) - a +--R - 2tan(x)\|a csc(x) - a \|a csc(x) + a atan(---------------) +--R +-+ +--R \|a +--R + +--R +-+ +-+ +--R +-+ +------------+ +------------+ \|2 \|a +--R - \|2 tan(x)\|a csc(x) - a \|a csc(x) + a atan(---------------) +--R +------------+ +--R \|a csc(x) - a +--R / +--R +-+ +--R a\|a +--R Type: Expression Integer +--E 386 + +--S 387 of 528 +a0374:= integrate(t0374,x) +--R +--R +--R (349) +--R [ +--R log +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R ((- 8cos(x) + 8)sin(x) + 8cos(x) - 8) 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 +---+ +--R ((- 8cos(x) + 12)sin(x) + 8cos(x) + 4cos(x) - 12)\|- a +--R * +--R +---------------+ +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 +--R - 4a sin(x) - 4a cos(x) + 5a +--R + +--R +---------------+ +--R +-+ | 2 2 +--R |2 |- a cos(x) - a +--R +-+ (sin(x) - cos(x) + 1) |- 4|--------------- +--R +---+ |2 \|a \| 4cos(x) - 4 +--R - 2\|- a |- atan(-------------------------------------------) +--R \|a cos(x) +--R / +--R +---+ +--R 2\|- a +--R , +--R +--R +---------------+ +--R | 2 2 +--R +-+ |- a cos(x) - a +--R (2sin(x) + 2cos(x) - 2)\|a 4|--------------- +--R \| 4cos(x) - 4 +--R atan(-----------------------------------------------) +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R (2cos(x) - 2) 4|--------------- - a sin(x) + a +--R \| 4cos(x) - 4 +--R + +--R +---------------+ +--R +-+ | 2 2 +--R |2 |- a cos(x) - a +--R +-+ 2a |- 4|--------------- +--R |2 +-+ \|a \| 4cos(x) - 4 +--R - |- \|a atan(------------------------) +--R \|a +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R 2 4|--------------- - a +--R \| 4cos(x) - 4 +--R / +--R +-+ +--R \|a +--R ] +--R Type: Union(List Expression Integer,...) +--E 387 + +--S 388 of 528 +m0374a:= a0374.1-r0374 +--R +--R +--R (350) +--R +-+ +--R a\|a +--R * +--R log +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R ((- 8cos(x) + 8)sin(x) + 8cos(x) - 8) 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 +---+ +--R ((- 8cos(x) + 12)sin(x) + 8cos(x) + 4cos(x) - 12)\|- a +--R * +--R +---------------+ +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 +--R - 4a sin(x) - 4a cos(x) + 5a +--R + +--R +------------+ +--R +---+ +------------+ +------------+ \|a csc(x) - a +--R 4tan(x)\|- a \|a csc(x) - a \|a csc(x) + a atan(---------------) +--R +-+ +--R \|a +--R + +--R +---------------+ +--R +-+ | 2 2 +--R |2 |- a cos(x) - a +--R +-+ (sin(x) - cos(x) + 1) |- 4|--------------- +--R +---+ |2 +-+ \|a \| 4cos(x) - 4 +--R - 2a\|- a |- \|a atan(-------------------------------------------) +--R \|a cos(x) +--R + +--R +-+ +-+ +--R +-+ +---+ +------------+ +------------+ \|2 \|a +--R 2\|2 tan(x)\|- a \|a csc(x) - a \|a csc(x) + a atan(---------------) +--R +------------+ +--R \|a csc(x) - a +--R / +--R +---+ +-+ +--R 2a\|- a \|a +--R Type: Expression Integer +--E 388 + +--S 389 of 528 +d0374a:= D(m0374a,x) +--R +--R +--R (351) +--R 6 5 4 3 +--R 32cos(x) - 80cos(x) + 16cos(x) + 80cos(x) +--R + +--R 2 +--R - 48cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R 6 5 4 3 2 +--R - 32cos(x) + 80cos(x) - 16cos(x) - 80cos(x) + 48cos(x) +--R * +--R sin(x) +--R + +--R 7 6 5 4 +--R - 32cos(x) + 16cos(x) + 96cos(x) - 64cos(x) +--R + +--R 3 2 +--R - 64cos(x) + 48cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R 7 6 5 4 3 +--R 32cos(x) - 16cos(x) - 96cos(x) + 64cos(x) + 64cos(x) +--R + +--R 2 +--R - 48cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R 6 5 4 3 +--R - 32cos(x) + 80cos(x) - 16cos(x) - 80cos(x) +--R + +--R 2 +--R 48cos(x) +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R + +--R 7 6 5 4 3 +--R 32cos(x) - 16cos(x) - 96cos(x) + 64cos(x) + 64cos(x) +--R + +--R 2 +--R - 48cos(x) +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R 6 5 4 3 2 +--R (32cos(x) - 80cos(x) + 16cos(x) + 80cos(x) - 48cos(x) ) +--R * +--R 2 +--R csc(x) +--R + +--R 6 5 4 3 2 +--R - 32cos(x) + 80cos(x) - 16cos(x) - 80cos(x) + 48cos(x) +--R * +--R sin(x) +--R + +--R 7 6 5 4 3 +--R - 32cos(x) + 16cos(x) + 96cos(x) - 64cos(x) - 64cos(x) +--R + +--R 2 +--R 48cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R 7 6 5 4 3 +--R 32cos(x) - 16cos(x) - 96cos(x) + 64cos(x) + 64cos(x) +--R + +--R 2 +--R - 48cos(x) +--R * +--R +---------------+3 +--R | 2 2 +--R +---+ +-+ |- a cos(x) - a +--R \|- a \|a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 4 2 2 4 +--R (- 16a cos(x) + 32a cos(x) - 16a)csc(x) + 16a cos(x) +--R + +--R 2 +--R - 32a cos(x) + 16a +--R * +--R 3 +--R sin(x) +--R + +--R 5 4 3 2 +--R 32a cos(x) - 16a cos(x) - 64a cos(x) + 32a cos(x) +--R + +--R 32a cos(x) - 16a +--R * +--R 2 +--R csc(x) +--R + +--R 5 4 3 2 +--R - 32a cos(x) + 16a cos(x) + 64a cos(x) - 32a cos(x) +--R + +--R - 32a cos(x) + 16a +--R * +--R 2 +--R sin(x) +--R + +--R 6 5 4 +--R - 16a cos(x) + 16a cos(x) + 32a cos(x) +--R + +--R 3 2 +--R - 16a cos(x) - 32a cos(x) + 16a +--R * +--R 2 +--R csc(x) +--R + +--R 6 5 4 3 +--R 16a cos(x) - 16a cos(x) - 32a cos(x) + 16a cos(x) +--R + +--R 2 +--R 32a cos(x) - 16a +--R * +--R sin(x) +--R + +--R 7 5 4 3 +--R 16a cos(x) - 68a cos(x) + 20a cos(x) + 84a cos(x) +--R + +--R 2 +--R - 36a cos(x) - 32a cos(x) + 16a +--R * +--R 2 +--R csc(x) +--R + +--R 7 5 4 3 +--R - 16a cos(x) + 68a cos(x) - 20a cos(x) - 84a cos(x) +--R + +--R 2 +--R 36a cos(x) + 32a cos(x) - 16a +--R * +--R 2 +--R tan(x) +--R + +--R 4 2 2 3 +--R (16a cos(x) - 32a cos(x) + 16a)cot(x)csc(x) sin(x) +--R + +--R 5 4 3 2 +--R - 32a cos(x) + 16a cos(x) + 64a cos(x) - 32a cos(x) +--R + +--R - 32a cos(x) + 16a +--R * +--R 2 2 +--R cot(x)csc(x) sin(x) +--R + +--R 6 5 4 3 +--R 16a cos(x) - 16a cos(x) - 32a cos(x) + 16a cos(x) +--R + +--R 2 +--R 32a cos(x) - 16a +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R + +--R 7 5 4 3 +--R - 16a cos(x) + 68a cos(x) - 20a cos(x) - 84a cos(x) +--R + +--R 2 +--R 36a cos(x) + 32a cos(x) - 16a +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R 4 2 2 4 +--R (- 16a cos(x) + 32a cos(x) - 16a)csc(x) + 16a cos(x) +--R + +--R 2 +--R - 32a cos(x) + 16a +--R * +--R 3 +--R sin(x) +--R + +--R 5 4 3 2 +--R 32a cos(x) - 16a cos(x) - 64a cos(x) + 32a cos(x) +--R + +--R 32a cos(x) - 16a +--R * +--R 2 +--R csc(x) +--R + +--R 5 4 3 2 +--R - 32a cos(x) + 16a cos(x) + 64a cos(x) - 32a cos(x) +--R + +--R - 32a cos(x) + 16a +--R * +--R 2 +--R sin(x) +--R + +--R 6 5 4 3 +--R - 16a cos(x) + 16a cos(x) + 32a cos(x) - 16a cos(x) +--R + +--R 2 +--R - 32a cos(x) + 16a +--R * +--R 2 +--R csc(x) +--R + +--R 6 5 4 3 +--R 16a cos(x) - 16a cos(x) - 32a cos(x) + 16a cos(x) +--R + +--R 2 +--R 32a cos(x) - 16a +--R * +--R sin(x) +--R + +--R 7 5 4 3 +--R 16a cos(x) - 68a cos(x) + 20a cos(x) + 84a cos(x) +--R + +--R 2 +--R - 36a cos(x) - 32a cos(x) + 16a +--R * +--R 2 +--R csc(x) +--R + +--R 7 5 4 3 +--R - 16a cos(x) + 68a cos(x) - 20a cos(x) - 84a cos(x) +--R + +--R 2 +--R 36a cos(x) + 32a cos(x) - 16a +--R * +--R +---------------+2 +--R | 2 2 +--R +-+ |- a cos(x) - a +--R \|a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 4 3 2 +--R - 16a cos(x) + 8a cos(x) + 40a cos(x) - 8a cos(x) +--R + +--R - 24a +--R * +--R 2 +--R csc(x) +--R + +--R 4 3 2 +--R 16a cos(x) - 8a cos(x) - 40a cos(x) + 8a cos(x) + 24a +--R * +--R 3 +--R sin(x) +--R + +--R 5 4 3 2 +--R 48a cos(x) - 24a cos(x) - 96a cos(x) + 48a cos(x) +--R + +--R 48a cos(x) - 24a +--R * +--R 2 +--R csc(x) +--R + +--R 5 4 3 2 +--R - 48a cos(x) + 24a cos(x) + 96a cos(x) - 48a cos(x) +--R + +--R - 48a cos(x) + 24a +--R * +--R 2 +--R sin(x) +--R + +--R 6 5 4 +--R - 48a cos(x) + 24a cos(x) + 120a cos(x) +--R + +--R 3 2 +--R - 48a cos(x) - 96a cos(x) + 24a cos(x) + 24a +--R * +--R 2 +--R csc(x) +--R + +--R 6 5 4 3 +--R 48a cos(x) - 24a cos(x) - 120a cos(x) + 48a cos(x) +--R + +--R 2 +--R 96a cos(x) - 24a cos(x) - 24a +--R * +--R sin(x) +--R + +--R 7 6 5 4 +--R 16a cos(x) - 8a cos(x) - 64a cos(x) + 40a cos(x) +--R + +--R 3 2 +--R 80a cos(x) - 56a cos(x) - 32a cos(x) + 24a +--R * +--R 2 +--R csc(x) +--R + +--R 7 6 5 4 +--R - 16a cos(x) + 8a cos(x) + 64a cos(x) - 40a cos(x) +--R + +--R 3 2 +--R - 80a cos(x) + 56a cos(x) + 32a cos(x) - 24a +--R * +--R 2 +--R tan(x) +--R + +--R 4 3 2 +--R (16a cos(x) - 8a cos(x) - 40a cos(x) + 8a cos(x) + 24a) +--R * +--R 2 3 +--R cot(x)csc(x) sin(x) +--R + +--R 5 4 3 2 +--R - 48a cos(x) + 24a cos(x) + 96a cos(x) - 48a cos(x) +--R + +--R - 48a cos(x) + 24a +--R * +--R 2 2 +--R cot(x)csc(x) sin(x) +--R + +--R 6 5 4 3 +--R 48a cos(x) - 24a cos(x) - 120a cos(x) + 48a cos(x) +--R + +--R 2 +--R 96a cos(x) - 24a cos(x) - 24a +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R + +--R 7 6 5 4 +--R - 16a cos(x) + 8a cos(x) + 64a cos(x) - 40a cos(x) +--R + +--R 3 2 +--R - 80a cos(x) + 56a cos(x) + 32a cos(x) - 24a +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R 4 3 2 +--R - 16a cos(x) + 8a cos(x) + 40a cos(x) - 8a cos(x) +--R + +--R - 24a +--R * +--R 2 +--R csc(x) +--R + +--R 4 3 2 +--R 16a cos(x) - 8a cos(x) - 40a cos(x) + 8a cos(x) + 24a +--R * +--R 3 +--R sin(x) +--R + +--R 5 4 3 2 +--R 48a cos(x) - 24a cos(x) - 96a cos(x) + 48a cos(x) +--R + +--R 48a cos(x) - 24a +--R * +--R 2 +--R csc(x) +--R + +--R 5 4 3 2 +--R - 48a cos(x) + 24a cos(x) + 96a cos(x) - 48a cos(x) +--R + +--R - 48a cos(x) + 24a +--R * +--R 2 +--R sin(x) +--R + +--R 6 5 4 3 +--R - 48a cos(x) + 24a cos(x) + 120a cos(x) - 48a cos(x) +--R + +--R 2 +--R - 96a cos(x) + 24a cos(x) + 24a +--R * +--R 2 +--R csc(x) +--R + +--R 6 5 4 3 +--R 48a cos(x) - 24a cos(x) - 120a cos(x) + 48a cos(x) +--R + +--R 2 +--R 96a cos(x) - 24a cos(x) - 24a +--R * +--R sin(x) +--R + +--R 7 6 5 4 +--R 16a cos(x) - 8a cos(x) - 64a cos(x) + 40a cos(x) +--R + +--R 3 2 +--R 80a cos(x) - 56a cos(x) - 32a cos(x) + 24a +--R * +--R 2 +--R csc(x) +--R + +--R 7 6 5 4 +--R - 16a cos(x) + 8a cos(x) + 64a cos(x) - 40a cos(x) +--R + +--R 3 2 +--R - 80a cos(x) + 56a cos(x) + 32a cos(x) - 24a +--R * +--R +---------------+ +--R | 2 2 +--R +---+ +-+ |- a cos(x) - a +--R \|- a \|a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 3 2 2 2 2 2 +--R (- 8a cos(x) - 8a cos(x) + 8a cos(x) + 8a )csc(x) +--R + +--R 2 3 2 2 2 2 +--R 8a cos(x) + 8a cos(x) - 8a cos(x) - 8a +--R * +--R 3 +--R sin(x) +--R + +--R 2 5 2 4 2 3 2 2 +--R - 8a cos(x) + 8a cos(x) + 18a cos(x) - 14a cos(x) +--R + +--R 2 2 +--R - 10a cos(x) + 6a +--R * +--R 2 +--R csc(x) +--R + +--R 2 5 2 4 2 3 2 2 +--R 8a cos(x) - 8a cos(x) - 18a cos(x) + 14a cos(x) +--R + +--R 2 2 +--R 10a cos(x) - 6a +--R * +--R 2 +--R sin(x) +--R + +--R 2 6 2 5 2 4 2 3 +--R 8a cos(x) - 8a cos(x) - 28a cos(x) + 16a cos(x) +--R + +--R 2 2 2 2 +--R 32a cos(x) - 8a cos(x) - 12a +--R * +--R 2 +--R csc(x) +--R + +--R 2 6 2 5 2 4 2 3 +--R - 8a cos(x) + 8a cos(x) + 28a cos(x) - 16a cos(x) +--R + +--R 2 2 2 2 +--R - 32a cos(x) + 8a cos(x) + 12a +--R * +--R sin(x) +--R + +--R 2 7 2 6 2 5 2 4 +--R - 8a cos(x) + 16a cos(x) + 26a cos(x) - 42a cos(x) +--R + +--R 2 3 2 2 2 2 +--R - 28a cos(x) + 36a cos(x) + 10a cos(x) - 10a +--R * +--R 2 +--R csc(x) +--R + +--R 2 7 2 6 2 5 2 4 +--R 8a cos(x) - 16a cos(x) - 26a cos(x) + 42a cos(x) +--R + +--R 2 3 2 2 2 2 +--R 28a cos(x) - 36a cos(x) - 10a cos(x) + 10a +--R * +--R 2 +--R tan(x) +--R + +--R 2 3 2 2 2 2 2 +--R (8a cos(x) + 8a cos(x) - 8a cos(x) - 8a )cot(x)csc(x) +--R * +--R 3 +--R sin(x) +--R + +--R 2 5 2 4 2 3 2 2 +--R 8a cos(x) - 8a cos(x) - 18a cos(x) + 14a cos(x) +--R + +--R 2 2 +--R 10a cos(x) - 6a +--R * +--R 2 2 +--R cot(x)csc(x) sin(x) +--R + +--R 2 6 2 5 2 4 2 3 +--R - 8a cos(x) + 8a cos(x) + 28a cos(x) - 16a cos(x) +--R + +--R 2 2 2 2 +--R - 32a cos(x) + 8a cos(x) + 12a +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R + +--R 2 7 2 6 2 5 2 4 +--R 8a cos(x) - 16a cos(x) - 26a cos(x) + 42a cos(x) +--R + +--R 2 3 2 2 2 2 +--R 28a cos(x) - 36a cos(x) - 10a cos(x) + 10a +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R 2 3 2 2 2 2 2 +--R (- 8a cos(x) - 8a cos(x) + 8a cos(x) + 8a )csc(x) +--R + +--R 2 3 2 2 2 2 +--R 8a cos(x) + 8a cos(x) - 8a cos(x) - 8a +--R * +--R 3 +--R sin(x) +--R + +--R 2 5 2 4 2 3 2 2 +--R - 8a cos(x) + 8a cos(x) + 18a cos(x) - 14a cos(x) +--R + +--R 2 2 +--R - 10a cos(x) + 6a +--R * +--R 2 +--R csc(x) +--R + +--R 2 5 2 4 2 3 2 2 +--R 8a cos(x) - 8a cos(x) - 18a cos(x) + 14a cos(x) +--R + +--R 2 2 +--R 10a cos(x) - 6a +--R * +--R 2 +--R sin(x) +--R + +--R 2 6 2 5 2 4 2 3 +--R 8a cos(x) - 8a cos(x) - 28a cos(x) + 16a cos(x) +--R + +--R 2 2 2 2 +--R 32a cos(x) - 8a cos(x) - 12a +--R * +--R 2 +--R csc(x) +--R + +--R 2 6 2 5 2 4 2 3 +--R - 8a cos(x) + 8a cos(x) + 28a cos(x) - 16a cos(x) +--R + +--R 2 2 2 2 +--R - 32a cos(x) + 8a cos(x) + 12a +--R * +--R sin(x) +--R + +--R 2 7 2 6 2 5 2 4 +--R - 8a cos(x) + 16a cos(x) + 26a cos(x) - 42a cos(x) +--R + +--R 2 3 2 2 2 2 +--R - 28a cos(x) + 36a cos(x) + 10a cos(x) - 10a +--R * +--R 2 +--R csc(x) +--R + +--R 2 7 2 6 2 5 2 4 +--R 8a cos(x) - 16a cos(x) - 26a cos(x) + 42a cos(x) +--R + +--R 2 3 2 2 2 2 +--R 28a cos(x) - 36a cos(x) - 10a cos(x) + 10a +--R * +--R +-+ +--R \|a +--R * +--R +------------+ +--R \|a csc(x) - a +--R atan(---------------) +--R +-+ +--R \|a +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R 16\|2 cos(x) - 40\|2 cos(x) + 8\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +--R 40\|2 cos(x) - 24\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R - 16\|2 cos(x) + 40\|2 cos(x) - 8\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +--R - 40\|2 cos(x) + 24\|2 cos(x) +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R - 16\|2 cos(x) + 8\|2 cos(x) + 48\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 32\|2 cos(x) - 32\|2 cos(x) + 24\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +-+ 4 +--R 16\|2 cos(x) - 8\|2 cos(x) - 48\|2 cos(x) + 32\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +--R 32\|2 cos(x) - 24\|2 cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R - 16\|2 cos(x) + 40\|2 cos(x) - 8\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +--R - 40\|2 cos(x) + 24\|2 cos(x) +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R 16\|2 cos(x) - 8\|2 cos(x) - 48\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 32\|2 cos(x) + 32\|2 cos(x) - 24\|2 cos(x) +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R 16\|2 cos(x) - 40\|2 cos(x) + 8\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +--R 40\|2 cos(x) - 24\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R - 16\|2 cos(x) + 40\|2 cos(x) - 8\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +--R - 40\|2 cos(x) + 24\|2 cos(x) +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R - 16\|2 cos(x) + 8\|2 cos(x) + 48\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 32\|2 cos(x) - 32\|2 cos(x) + 24\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +-+ 4 +--R 16\|2 cos(x) - 8\|2 cos(x) - 48\|2 cos(x) + 32\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +--R 32\|2 cos(x) - 24\|2 cos(x) +--R * +--R +---------------+3 +--R | 2 2 +--R +---+ +-+ |- a cos(x) - a +--R \|- a \|a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (- 8a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 )csc(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 8a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R 16a\|2 cos(x) - 8a\|2 cos(x) - 32a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R 16a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R - 16a\|2 cos(x) + 8a\|2 cos(x) + 32a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R - 16a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R - 8a\|2 cos(x) + 8a\|2 cos(x) + 16a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +--R - 8a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R 8a\|2 cos(x) - 8a\|2 cos(x) - 16a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +--R 8a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 5 +-+ 4 +--R 8a\|2 cos(x) - 34a\|2 cos(x) + 10a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R 42a\|2 cos(x) - 18a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 7 +-+ 5 +-+ 4 +--R - 8a\|2 cos(x) + 34a\|2 cos(x) - 10a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R - 42a\|2 cos(x) + 18a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 +--R * +--R 2 +--R tan(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 3 +--R (8a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 )cot(x)csc(x) sin(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R - 16a\|2 cos(x) + 8a\|2 cos(x) + 32a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R - 16a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 +--R * +--R 2 2 +--R cot(x)csc(x) sin(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R 8a\|2 cos(x) - 8a\|2 cos(x) - 16a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +--R 8a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R + +--R +-+ 7 +-+ 5 +-+ 4 +--R - 8a\|2 cos(x) + 34a\|2 cos(x) - 10a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R - 42a\|2 cos(x) + 18a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (- 8a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 )csc(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 8a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R 16a\|2 cos(x) - 8a\|2 cos(x) - 32a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R 16a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R - 16a\|2 cos(x) + 8a\|2 cos(x) + 32a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R - 16a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R - 8a\|2 cos(x) + 8a\|2 cos(x) + 16a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +--R - 8a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R 8a\|2 cos(x) - 8a\|2 cos(x) - 16a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +--R 8a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 5 +-+ 4 +--R 8a\|2 cos(x) - 34a\|2 cos(x) + 10a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R 42a\|2 cos(x) - 18a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 7 +-+ 5 +-+ 4 +--R - 8a\|2 cos(x) + 34a\|2 cos(x) - 10a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R - 42a\|2 cos(x) + 18a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 +--R * +--R +---------------+2 +--R | 2 2 +--R +-+ |- a cos(x) - a +--R \|a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 8a\|2 cos(x) + 4a\|2 cos(x) + 20a\|2 cos(x) +--R + +--R +-+ +-+ +--R - 4a\|2 cos(x) - 12a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 8a\|2 cos(x) - 4a\|2 cos(x) - 20a\|2 cos(x) +--R + +--R +-+ +-+ +--R 4a\|2 cos(x) + 12a\|2 +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R 24a\|2 cos(x) - 12a\|2 cos(x) - 48a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R 24a\|2 cos(x) + 24a\|2 cos(x) - 12a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R - 24a\|2 cos(x) + 12a\|2 cos(x) + 48a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R - 24a\|2 cos(x) - 24a\|2 cos(x) + 12a\|2 +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R - 24a\|2 cos(x) + 12a\|2 cos(x) + 60a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +--R - 24a\|2 cos(x) - 48a\|2 cos(x) + 12a\|2 cos(x) +--R + +--R +-+ +--R 12a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R 24a\|2 cos(x) - 12a\|2 cos(x) - 60a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R 24a\|2 cos(x) + 48a\|2 cos(x) - 12a\|2 cos(x) - 12a\|2 +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R 8a\|2 cos(x) - 4a\|2 cos(x) - 32a\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 20a\|2 cos(x) + 40a\|2 cos(x) - 28a\|2 cos(x) +--R + +--R +-+ +-+ +--R - 16a\|2 cos(x) + 12a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R - 8a\|2 cos(x) + 4a\|2 cos(x) + 32a\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 20a\|2 cos(x) - 40a\|2 cos(x) + 28a\|2 cos(x) +--R + +--R +-+ +-+ +--R 16a\|2 cos(x) - 12a\|2 +--R * +--R 2 +--R tan(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 8a\|2 cos(x) - 4a\|2 cos(x) - 20a\|2 cos(x) +--R + +--R +-+ +-+ +--R 4a\|2 cos(x) + 12a\|2 +--R * +--R 2 3 +--R cot(x)csc(x) sin(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R - 24a\|2 cos(x) + 12a\|2 cos(x) + 48a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R - 24a\|2 cos(x) - 24a\|2 cos(x) + 12a\|2 +--R * +--R 2 2 +--R cot(x)csc(x) sin(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R 24a\|2 cos(x) - 12a\|2 cos(x) - 60a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R 24a\|2 cos(x) + 48a\|2 cos(x) - 12a\|2 cos(x) - 12a\|2 +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R - 8a\|2 cos(x) + 4a\|2 cos(x) + 32a\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 20a\|2 cos(x) - 40a\|2 cos(x) + 28a\|2 cos(x) +--R + +--R +-+ +-+ +--R 16a\|2 cos(x) - 12a\|2 +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 8a\|2 cos(x) + 4a\|2 cos(x) + 20a\|2 cos(x) +--R + +--R +-+ +-+ +--R - 4a\|2 cos(x) - 12a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +-+ +--R 8a\|2 cos(x) - 4a\|2 cos(x) - 20a\|2 cos(x) + 4a\|2 cos(x) +--R + +--R +-+ +--R 12a\|2 +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R 24a\|2 cos(x) - 12a\|2 cos(x) - 48a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R 24a\|2 cos(x) + 24a\|2 cos(x) - 12a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R - 24a\|2 cos(x) + 12a\|2 cos(x) + 48a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R - 24a\|2 cos(x) - 24a\|2 cos(x) + 12a\|2 +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R - 24a\|2 cos(x) + 12a\|2 cos(x) + 60a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R - 24a\|2 cos(x) - 48a\|2 cos(x) + 12a\|2 cos(x) + 12a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R 24a\|2 cos(x) - 12a\|2 cos(x) - 60a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R 24a\|2 cos(x) + 48a\|2 cos(x) - 12a\|2 cos(x) - 12a\|2 +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R 8a\|2 cos(x) - 4a\|2 cos(x) - 32a\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 20a\|2 cos(x) + 40a\|2 cos(x) - 28a\|2 cos(x) +--R + +--R +-+ +-+ +--R - 16a\|2 cos(x) + 12a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +-+ 4 +--R - 8a\|2 cos(x) + 4a\|2 cos(x) + 32a\|2 cos(x) - 20a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R - 40a\|2 cos(x) + 28a\|2 cos(x) + 16a\|2 cos(x) - 12a\|2 +--R * +--R +---------------+ +--R | 2 2 +--R +---+ +-+ |- a cos(x) - a +--R \|- a \|a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ +--R - 4a \|2 cos(x) - 4a \|2 cos(x) + 4a \|2 cos(x) +--R + +--R 2 +-+ +--R 4a \|2 +--R * +--R 2 +--R csc(x) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ 2 +-+ +--R 4a \|2 cos(x) + 4a \|2 cos(x) - 4a \|2 cos(x) - 4a \|2 +--R * +--R 3 +--R sin(x) +--R + +--R 2 +-+ 5 2 +-+ 4 2 +-+ 3 +--R - 4a \|2 cos(x) + 4a \|2 cos(x) + 9a \|2 cos(x) +--R + +--R 2 +-+ 2 2 +-+ 2 +-+ +--R - 7a \|2 cos(x) - 5a \|2 cos(x) + 3a \|2 +--R * +--R 2 +--R csc(x) +--R + +--R 2 +-+ 5 2 +-+ 4 2 +-+ 3 +--R 4a \|2 cos(x) - 4a \|2 cos(x) - 9a \|2 cos(x) +--R + +--R 2 +-+ 2 2 +-+ 2 +-+ +--R 7a \|2 cos(x) + 5a \|2 cos(x) - 3a \|2 +--R * +--R 2 +--R sin(x) +--R + +--R 2 +-+ 6 2 +-+ 5 2 +-+ 4 +--R 4a \|2 cos(x) - 4a \|2 cos(x) - 14a \|2 cos(x) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ +--R 8a \|2 cos(x) + 16a \|2 cos(x) - 4a \|2 cos(x) +--R + +--R 2 +-+ +--R - 6a \|2 +--R * +--R 2 +--R csc(x) +--R + +--R 2 +-+ 6 2 +-+ 5 2 +-+ 4 +--R - 4a \|2 cos(x) + 4a \|2 cos(x) + 14a \|2 cos(x) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ +--R - 8a \|2 cos(x) - 16a \|2 cos(x) + 4a \|2 cos(x) +--R + +--R 2 +-+ +--R 6a \|2 +--R * +--R sin(x) +--R + +--R 2 +-+ 7 2 +-+ 6 2 +-+ 5 +--R - 4a \|2 cos(x) + 8a \|2 cos(x) + 13a \|2 cos(x) +--R + +--R 2 +-+ 4 2 +-+ 3 2 +-+ 2 +--R - 21a \|2 cos(x) - 14a \|2 cos(x) + 18a \|2 cos(x) +--R + +--R 2 +-+ 2 +-+ +--R 5a \|2 cos(x) - 5a \|2 +--R * +--R 2 +--R csc(x) +--R + +--R 2 +-+ 7 2 +-+ 6 2 +-+ 5 +--R 4a \|2 cos(x) - 8a \|2 cos(x) - 13a \|2 cos(x) +--R + +--R 2 +-+ 4 2 +-+ 3 2 +-+ 2 +--R 21a \|2 cos(x) + 14a \|2 cos(x) - 18a \|2 cos(x) +--R + +--R 2 +-+ 2 +-+ +--R - 5a \|2 cos(x) + 5a \|2 +--R * +--R 2 +--R tan(x) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ 2 +-+ +--R (4a \|2 cos(x) + 4a \|2 cos(x) - 4a \|2 cos(x) - 4a \|2 ) +--R * +--R 2 3 +--R cot(x)csc(x) sin(x) +--R + +--R 2 +-+ 5 2 +-+ 4 2 +-+ 3 +--R 4a \|2 cos(x) - 4a \|2 cos(x) - 9a \|2 cos(x) +--R + +--R 2 +-+ 2 2 +-+ 2 +-+ +--R 7a \|2 cos(x) + 5a \|2 cos(x) - 3a \|2 +--R * +--R 2 2 +--R cot(x)csc(x) sin(x) +--R + +--R 2 +-+ 6 2 +-+ 5 2 +-+ 4 +--R - 4a \|2 cos(x) + 4a \|2 cos(x) + 14a \|2 cos(x) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ +--R - 8a \|2 cos(x) - 16a \|2 cos(x) + 4a \|2 cos(x) +--R + +--R 2 +-+ +--R 6a \|2 +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R + +--R 2 +-+ 7 2 +-+ 6 2 +-+ 5 +--R 4a \|2 cos(x) - 8a \|2 cos(x) - 13a \|2 cos(x) +--R + +--R 2 +-+ 4 2 +-+ 3 2 +-+ 2 +--R 21a \|2 cos(x) + 14a \|2 cos(x) - 18a \|2 cos(x) +--R + +--R 2 +-+ 2 +-+ +--R - 5a \|2 cos(x) + 5a \|2 +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ +--R - 4a \|2 cos(x) - 4a \|2 cos(x) + 4a \|2 cos(x) +--R + +--R 2 +-+ +--R 4a \|2 +--R * +--R 2 +--R csc(x) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ 2 +-+ +--R 4a \|2 cos(x) + 4a \|2 cos(x) - 4a \|2 cos(x) - 4a \|2 +--R * +--R 3 +--R sin(x) +--R + +--R 2 +-+ 5 2 +-+ 4 2 +-+ 3 +--R - 4a \|2 cos(x) + 4a \|2 cos(x) + 9a \|2 cos(x) +--R + +--R 2 +-+ 2 2 +-+ 2 +-+ +--R - 7a \|2 cos(x) - 5a \|2 cos(x) + 3a \|2 +--R * +--R 2 +--R csc(x) +--R + +--R 2 +-+ 5 2 +-+ 4 2 +-+ 3 +--R 4a \|2 cos(x) - 4a \|2 cos(x) - 9a \|2 cos(x) +--R + +--R 2 +-+ 2 2 +-+ 2 +-+ +--R 7a \|2 cos(x) + 5a \|2 cos(x) - 3a \|2 +--R * +--R 2 +--R sin(x) +--R + +--R 2 +-+ 6 2 +-+ 5 2 +-+ 4 +--R 4a \|2 cos(x) - 4a \|2 cos(x) - 14a \|2 cos(x) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ 2 +-+ +--R 8a \|2 cos(x) + 16a \|2 cos(x) - 4a \|2 cos(x) - 6a \|2 +--R * +--R 2 +--R csc(x) +--R + +--R 2 +-+ 6 2 +-+ 5 2 +-+ 4 +--R - 4a \|2 cos(x) + 4a \|2 cos(x) + 14a \|2 cos(x) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ 2 +-+ +--R - 8a \|2 cos(x) - 16a \|2 cos(x) + 4a \|2 cos(x) + 6a \|2 +--R * +--R sin(x) +--R + +--R 2 +-+ 7 2 +-+ 6 2 +-+ 5 +--R - 4a \|2 cos(x) + 8a \|2 cos(x) + 13a \|2 cos(x) +--R + +--R 2 +-+ 4 2 +-+ 3 2 +-+ 2 +--R - 21a \|2 cos(x) - 14a \|2 cos(x) + 18a \|2 cos(x) +--R + +--R 2 +-+ 2 +-+ +--R 5a \|2 cos(x) - 5a \|2 +--R * +--R 2 +--R csc(x) +--R + +--R 2 +-+ 7 2 +-+ 6 2 +-+ 5 +--R 4a \|2 cos(x) - 8a \|2 cos(x) - 13a \|2 cos(x) +--R + +--R 2 +-+ 4 2 +-+ 3 2 +-+ 2 +--R 21a \|2 cos(x) + 14a \|2 cos(x) - 18a \|2 cos(x) +--R + +--R 2 +-+ 2 +-+ +--R - 5a \|2 cos(x) + 5a \|2 +--R * +--R +-+ +--R \|a +--R * +--R +-+ +-+ +--R \|2 \|a +--R atan(---------------) +--R +------------+ +--R \|a csc(x) - a +--R + +--R 3 2 3 +--R (- 16cos(x) + 8cos(x) + 24cos(x) - 16)sin(x) +--R + +--R 5 4 3 2 +--R (- 24cos(x) + 20cos(x) + 34cos(x) - 28cos(x) - 6cos(x) + 4) +--R * +--R 2 +--R sin(x) +--R + +--R 6 5 4 3 2 +--R 16cos(x) - 40cos(x) - 2cos(x) + 70cos(x) - 34cos(x) +--R + +--R - 30cos(x) + 20 +--R * +--R sin(x) +--R + +--R 7 6 5 4 3 +--R - 8cos(x) - 4cos(x) + 40cos(x) - 16cos(x) - 32cos(x) +--R + +--R 2 +--R 20cos(x) +--R * +--R +---------------+3 +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 3 4 +--R (- 4cos(x) + 4cos(x))sin(x) +--R + +--R 4 3 2 3 +--R (8cos(x) - 4cos(x) - 8cos(x) + 4cos(x))sin(x) +--R + +--R 5 3 7 6 +--R (4cos(x) - 8cos(x) + 4cos(x))sin(x) + 4cos(x) - 12cos(x) +--R + +--R 4 3 2 +--R 20cos(x) - 8cos(x) - 8cos(x) + 4cos(x) +--R * +--R +---------------+2 +--R | 2 2 +--R +---+ |- a cos(x) - a +--R \|- a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 3 2 4 +--R (4a cos(x) + 2a cos(x) - 3a cos(x) - a)sin(x) +--R + +--R 4 2 3 +--R (- 8a cos(x) + 3a cos(x) + 5a)sin(x) +--R + +--R 5 4 3 2 +--R 16a cos(x) - 8a cos(x) - 27a cos(x) + 11a cos(x) +--R + +--R 11a cos(x) - 3a +--R * +--R 2 +--R sin(x) +--R + +--R 6 5 4 3 +--R 8a cos(x) - 4a cos(x) - 19a cos(x) + 2a cos(x) +--R + +--R 2 +--R 20a cos(x) + 2a cos(x) - 9a +--R * +--R sin(x) +--R + +--R 7 6 5 4 3 +--R - 4a cos(x) + 2a cos(x) + 2a cos(x) - 4a cos(x) + 8a cos(x) +--R + +--R 2 +--R 2a cos(x) - 6a cos(x) +--R * +--R +---------------+ +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 4 3 2 3 +--R (4a cos(x) - 4a cos(x) - 18a cos(x) + 2a cos(x) + 12a)sin(x) +--R + +--R 5 4 2 2 +--R (- 2a cos(x) - 10a cos(x) + 10a cos(x) + 2a cos(x))sin(x) +--R + +--R 6 5 4 3 +--R 4a cos(x) - 6a cos(x) - 22a cos(x) + 8a cos(x) +--R + +--R 2 +--R 30a cos(x) - 2a cos(x) - 12a +--R * +--R sin(x) +--R + +--R 7 6 5 4 +--R - 6a cos(x) - 10a cos(x) + 10a cos(x) + 20a cos(x) +--R + +--R 3 2 +--R - 2a cos(x) - 10a cos(x) - 2a cos(x) +--R * +--R +---+ +--R \|- a +--R * +--R +------------+ +------------+ +--R \|a csc(x) - a \|a csc(x) + a +--R + +--R 6 5 4 3 2 +--R (- 16cos(x) + 40cos(x) - 8cos(x) - 40cos(x) + 24cos(x) ) +--R * +--R cot(x)sin(x) +--R + +--R 7 6 5 4 3 +--R 16cos(x) - 8cos(x) - 48cos(x) + 32cos(x) + 32cos(x) +--R + +--R 2 +--R - 24cos(x) +--R * +--R cot(x) +--R * +--R +---------------+3 +--R | 2 2 +--R +---+ |- a cos(x) - a +--R tan(x)\|- a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 4 2 3 +--R (8a cos(x) - 16a cos(x) + 8a)cot(x)sin(x) +--R + +--R 5 4 3 2 +--R - 16a cos(x) + 8a cos(x) + 32a cos(x) - 16a cos(x) +--R + +--R - 16a cos(x) + 8a +--R * +--R 2 +--R cot(x)sin(x) +--R + +--R 6 5 4 3 +--R 8a cos(x) - 8a cos(x) - 16a cos(x) + 8a cos(x) +--R + +--R 2 +--R 16a cos(x) - 8a +--R * +--R cot(x)sin(x) +--R + +--R 7 5 4 3 +--R - 8a cos(x) + 34a cos(x) - 10a cos(x) - 42a cos(x) +--R + +--R 2 +--R 18a cos(x) + 16a cos(x) - 8a +--R * +--R cot(x) +--R * +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R tan(x) 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 4 3 2 +--R (8a cos(x) - 4a cos(x) - 20a cos(x) + 4a cos(x) + 12a)cot(x) +--R * +--R 3 +--R sin(x) +--R + +--R 5 4 3 2 +--R - 24a cos(x) + 12a cos(x) + 48a cos(x) - 24a cos(x) +--R + +--R - 24a cos(x) + 12a +--R * +--R 2 +--R cot(x)sin(x) +--R + +--R 6 5 4 3 +--R 24a cos(x) - 12a cos(x) - 60a cos(x) + 24a cos(x) +--R + +--R 2 +--R 48a cos(x) - 12a cos(x) - 12a +--R * +--R cot(x)sin(x) +--R + +--R 7 6 5 4 +--R - 8a cos(x) + 4a cos(x) + 32a cos(x) - 20a cos(x) +--R + +--R 3 2 +--R - 40a cos(x) + 28a cos(x) + 16a cos(x) - 12a +--R * +--R cot(x) +--R * +--R +---------------+ +--R | 2 2 +--R +---+ |- a cos(x) - a +--R tan(x)\|- a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 3 2 2 2 2 3 +--R (4a cos(x) + 4a cos(x) - 4a cos(x) - 4a )cot(x)sin(x) +--R + +--R 2 5 2 4 2 3 2 2 2 +--R 4a cos(x) - 4a cos(x) - 9a cos(x) + 7a cos(x) + 5a cos(x) +--R + +--R 2 +--R - 3a +--R * +--R 2 +--R cot(x)sin(x) +--R + +--R 2 6 2 5 2 4 2 3 +--R - 4a cos(x) + 4a cos(x) + 14a cos(x) - 8a cos(x) +--R + +--R 2 2 2 2 +--R - 16a cos(x) + 4a cos(x) + 6a +--R * +--R cot(x)sin(x) +--R + +--R 2 7 2 6 2 5 2 4 +--R 4a cos(x) - 8a cos(x) - 13a cos(x) + 21a cos(x) +--R + +--R 2 3 2 2 2 2 +--R 14a cos(x) - 18a cos(x) - 5a cos(x) + 5a +--R * +--R cot(x) +--R * +--R tan(x) +--R * +--R +------------+ +--R \|a csc(x) - a +--R / +--R 6 5 4 3 2 +--R (16cos(x) - 40cos(x) + 8cos(x) + 40cos(x) - 24cos(x) )sin(x) +--R + +--R 7 6 5 4 3 +--R - 16cos(x) + 8cos(x) + 48cos(x) - 32cos(x) - 32cos(x) +--R + +--R 2 +--R 24cos(x) +--R * +--R +---------------+3 +--R | 2 2 +--R +---+ |- a cos(x) - a +--R \|- a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 4 2 3 +--R (- 8a cos(x) + 16a cos(x) - 8a)sin(x) +--R + +--R 5 4 3 2 +--R 16a cos(x) - 8a cos(x) - 32a cos(x) + 16a cos(x) +--R + +--R 16a cos(x) - 8a +--R * +--R 2 +--R sin(x) +--R + +--R 6 5 4 3 +--R - 8a cos(x) + 8a cos(x) + 16a cos(x) - 8a cos(x) +--R + +--R 2 +--R - 16a cos(x) + 8a +--R * +--R sin(x) +--R + +--R 7 5 4 3 2 +--R 8a cos(x) - 34a cos(x) + 10a cos(x) + 42a cos(x) - 18a cos(x) +--R + +--R - 16a cos(x) + 8a +--R * +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 4 3 2 3 +--R (- 8a cos(x) + 4a cos(x) + 20a cos(x) - 4a cos(x) - 12a)sin(x) +--R + +--R 5 4 3 2 +--R 24a cos(x) - 12a cos(x) - 48a cos(x) + 24a cos(x) +--R + +--R 24a cos(x) - 12a +--R * +--R 2 +--R sin(x) +--R + +--R 6 5 4 3 +--R - 24a cos(x) + 12a cos(x) + 60a cos(x) - 24a cos(x) +--R + +--R 2 +--R - 48a cos(x) + 12a cos(x) + 12a +--R * +--R sin(x) +--R + +--R 7 6 5 4 3 +--R 8a cos(x) - 4a cos(x) - 32a cos(x) + 20a cos(x) + 40a cos(x) +--R + +--R 2 +--R - 28a cos(x) - 16a cos(x) + 12a +--R * +--R +---------------+ +--R | 2 2 +--R +---+ |- a cos(x) - a +--R \|- a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 3 2 2 2 2 3 +--R (- 4a cos(x) - 4a cos(x) + 4a cos(x) + 4a )sin(x) +--R + +--R 2 5 2 4 2 3 2 2 2 +--R - 4a cos(x) + 4a cos(x) + 9a cos(x) - 7a cos(x) - 5a cos(x) +--R + +--R 2 +--R 3a +--R * +--R 2 +--R sin(x) +--R + +--R 2 6 2 5 2 4 2 3 2 2 +--R 4a cos(x) - 4a cos(x) - 14a cos(x) + 8a cos(x) + 16a cos(x) +--R + +--R 2 2 +--R - 4a cos(x) - 6a +--R * +--R sin(x) +--R + +--R 2 7 2 6 2 5 2 4 2 3 +--R - 4a cos(x) + 8a cos(x) + 13a cos(x) - 21a cos(x) - 14a cos(x) +--R + +--R 2 2 2 2 +--R 18a cos(x) + 5a cos(x) - 5a +--R * +--R +------------+ +------------+ +--R \|a csc(x) - a \|a csc(x) + a +--R Type: Expression Integer +--E 389 + +--S 390 of 528 +m0374b:= a0374.2-r0374 +--R +--R +--R (352) +--R +------------+ +--R +------------+ +------------+ \|a csc(x) - a +--R 2tan(x)\|a csc(x) - a \|a csc(x) + a atan(---------------) +--R +-+ +--R \|a +--R + +--R +---------------+ +--R | 2 2 +--R +-+ |- a cos(x) - a +--R (2sin(x) + 2cos(x) - 2)\|a 4|--------------- +--R \| 4cos(x) - 4 +--R a atan(-----------------------------------------------) +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R (2cos(x) - 2) 4|--------------- - a sin(x) + a +--R \| 4cos(x) - 4 +--R + +--R +---------------+ +--R +-+ | 2 2 +--R |2 |- a cos(x) - a +--R +-+ 2a |- 4|--------------- +--R |2 +-+ \|a \| 4cos(x) - 4 +--R - a |- \|a atan(------------------------) +--R \|a +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R 2 4|--------------- - a +--R \| 4cos(x) - 4 +--R + +--R +-+ +-+ +--R +-+ +------------+ +------------+ \|2 \|a +--R \|2 tan(x)\|a csc(x) - a \|a csc(x) + a atan(---------------) +--R +------------+ +--R \|a csc(x) - a +--R / +--R +-+ +--R a\|a +--R Type: Expression Integer +--E 390 + +--S 391 of 528 +d0374b:= D(m0374b,x) +--R +--R +--R (353) +--R 3 2 3 4 +--R ((16cos(x) - 16cos(x))csc(x) - 16cos(x) + 16cos(x))sin(x) +--R + +--R 3 2 3 +--R ((- 32cos(x) + 32cos(x))csc(x) + 32cos(x) - 32cos(x)) +--R * +--R 3 +--R sin(x) +--R + +--R 3 2 3 2 +--R ((16cos(x) - 16cos(x))csc(x) - 16cos(x) + 16cos(x))sin(x) +--R + +--R 5 3 2 5 +--R (- 32cos(x) + 64cos(x) - 32cos(x))csc(x) + 32cos(x) +--R + +--R 3 +--R - 64cos(x) + 32cos(x) +--R * +--R sin(x) +--R + +--R 7 5 3 2 +--R (- 16cos(x) + 64cos(x) - 80cos(x) + 32cos(x))csc(x) +--R + +--R 7 5 3 +--R 16cos(x) - 64cos(x) + 80cos(x) - 32cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R 3 2 4 +--R (- 16cos(x) + 16cos(x))cot(x)csc(x) sin(x) +--R + +--R 3 2 3 +--R (32cos(x) - 32cos(x))cot(x)csc(x) sin(x) +--R + +--R 3 2 2 +--R (- 16cos(x) + 16cos(x))cot(x)csc(x) sin(x) +--R + +--R 5 3 2 +--R (32cos(x) - 64cos(x) + 32cos(x))cot(x)csc(x) sin(x) +--R + +--R 7 5 3 2 +--R (16cos(x) - 64cos(x) + 80cos(x) - 32cos(x))cot(x)csc(x) +--R * +--R tan(x) +--R + +--R 3 2 3 4 +--R ((16cos(x) - 16cos(x))csc(x) - 16cos(x) + 16cos(x))sin(x) +--R + +--R 3 2 3 3 +--R ((- 32cos(x) + 32cos(x))csc(x) + 32cos(x) - 32cos(x))sin(x) +--R + +--R 3 2 3 2 +--R ((16cos(x) - 16cos(x))csc(x) - 16cos(x) + 16cos(x))sin(x) +--R + +--R 5 3 2 5 +--R (- 32cos(x) + 64cos(x) - 32cos(x))csc(x) + 32cos(x) +--R + +--R 3 +--R - 64cos(x) + 32cos(x) +--R * +--R sin(x) +--R + +--R 7 5 3 2 +--R (- 16cos(x) + 64cos(x) - 80cos(x) + 32cos(x))csc(x) +--R + +--R 7 5 3 +--R 16cos(x) - 64cos(x) + 80cos(x) - 32cos(x) +--R * +--R +---------------+3 +--R | 2 2 +--R +-+ |- a cos(x) - a +--R \|a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 3 2 3 +--R ((4a cos(x) - 4a cos(x))csc(x) - 4a cos(x) + 4a cos(x)) +--R * +--R 4 +--R sin(x) +--R + +--R 4 2 2 4 +--R (16a cos(x) - 16a cos(x) )csc(x) - 16a cos(x) +--R + +--R 2 +--R 16a cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 5 4 3 2 +--R (8a cos(x) - 16a cos(x) - 8a cos(x) + 16a cos(x) ) +--R * +--R 2 +--R csc(x) +--R + +--R 5 4 3 2 +--R - 8a cos(x) + 16a cos(x) + 8a cos(x) - 16a cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 6 4 3 2 +--R 16a cos(x) - 32a cos(x) - 16a cos(x) + 16a cos(x) +--R + +--R 16a cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R 6 4 3 2 +--R - 16a cos(x) + 32a cos(x) + 16a cos(x) - 16a cos(x) +--R + +--R - 16a cos(x) +--R * +--R sin(x) +--R + +--R 7 6 5 4 +--R 4a cos(x) - 16a cos(x) - 20a cos(x) + 32a cos(x) +--R + +--R 3 2 +--R 32a cos(x) - 16a cos(x) - 16a cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R 7 6 5 4 +--R - 4a cos(x) + 16a cos(x) + 20a cos(x) - 32a cos(x) +--R + +--R 3 2 +--R - 32a cos(x) + 16a cos(x) + 16a cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R 3 2 4 +--R (- 4a cos(x) + 4a cos(x))cot(x)csc(x) sin(x) +--R + +--R 4 2 2 3 +--R (- 16a cos(x) + 16a cos(x) )cot(x)csc(x) sin(x) +--R + +--R 5 4 3 2 +--R (- 8a cos(x) + 16a cos(x) + 8a cos(x) - 16a cos(x) ) +--R * +--R 2 2 +--R cot(x)csc(x) sin(x) +--R + +--R 6 4 3 2 +--R - 16a cos(x) + 32a cos(x) + 16a cos(x) - 16a cos(x) +--R + +--R - 16a cos(x) +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R + +--R 7 6 5 4 +--R - 4a cos(x) + 16a cos(x) + 20a cos(x) - 32a cos(x) +--R + +--R 3 2 +--R - 32a cos(x) + 16a cos(x) + 16a cos(x) +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R 3 2 3 4 +--R ((4a cos(x) - 4a cos(x))csc(x) - 4a cos(x) + 4a cos(x))sin(x) +--R + +--R 4 2 2 4 +--R (16a cos(x) - 16a cos(x) )csc(x) - 16a cos(x) +--R + +--R 2 +--R 16a cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 5 4 3 2 2 +--R (8a cos(x) - 16a cos(x) - 8a cos(x) + 16a cos(x) )csc(x) +--R + +--R 5 4 3 2 +--R - 8a cos(x) + 16a cos(x) + 8a cos(x) - 16a cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 6 4 3 2 +--R 16a cos(x) - 32a cos(x) - 16a cos(x) + 16a cos(x) +--R + +--R 16a cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R 6 4 3 2 +--R - 16a cos(x) + 32a cos(x) + 16a cos(x) - 16a cos(x) +--R + +--R - 16a cos(x) +--R * +--R sin(x) +--R + +--R 7 6 5 4 +--R 4a cos(x) - 16a cos(x) - 20a cos(x) + 32a cos(x) +--R + +--R 3 2 +--R 32a cos(x) - 16a cos(x) - 16a cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R 7 6 5 4 +--R - 4a cos(x) + 16a cos(x) + 20a cos(x) - 32a cos(x) +--R + +--R 3 2 +--R - 32a cos(x) + 16a cos(x) + 16a cos(x) +--R * +--R +---------------+ +--R | 2 2 +--R +-+ |- a cos(x) - a +--R \|a 4|--------------- +--R \| 4cos(x) - 4 +--R * +--R +------------+ +--R \|a csc(x) - a +--R atan(---------------) +--R +-+ +--R \|a +--R + +--R +-+ 3 +-+ 2 +-+ 3 +--R (8\|2 cos(x) - 8\|2 cos(x))csc(x) - 8\|2 cos(x) +--R + +--R +-+ +--R 8\|2 cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R +-+ 3 +-+ 2 +-+ 3 +--R (- 16\|2 cos(x) + 16\|2 cos(x))csc(x) + 16\|2 cos(x) +--R + +--R +-+ +--R - 16\|2 cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 3 +-+ 2 +-+ 3 +--R (8\|2 cos(x) - 8\|2 cos(x))csc(x) - 8\|2 cos(x) +--R + +--R +-+ +--R 8\|2 cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 5 +-+ 3 +-+ 2 +--R (- 16\|2 cos(x) + 32\|2 cos(x) - 16\|2 cos(x))csc(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 16\|2 cos(x) - 32\|2 cos(x) + 16\|2 cos(x) +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 8\|2 cos(x) + 32\|2 cos(x) - 40\|2 cos(x) +--R + +--R +-+ +--R 16\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R 8\|2 cos(x) - 32\|2 cos(x) + 40\|2 cos(x) - 16\|2 cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R +-+ 3 +-+ 2 4 +--R (- 8\|2 cos(x) + 8\|2 cos(x))cot(x)csc(x) sin(x) +--R + +--R +-+ 3 +-+ 2 3 +--R (16\|2 cos(x) - 16\|2 cos(x))cot(x)csc(x) sin(x) +--R + +--R +-+ 3 +-+ 2 2 +--R (- 8\|2 cos(x) + 8\|2 cos(x))cot(x)csc(x) sin(x) +--R + +--R +-+ 5 +-+ 3 +-+ 2 +--R (16\|2 cos(x) - 32\|2 cos(x) + 16\|2 cos(x))cot(x)csc(x) +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 8\|2 cos(x) - 32\|2 cos(x) + 40\|2 cos(x) +--R + +--R +-+ +--R - 16\|2 cos(x) +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R +-+ 3 +-+ 2 +-+ 3 +--R (8\|2 cos(x) - 8\|2 cos(x))csc(x) - 8\|2 cos(x) +--R + +--R +-+ +--R 8\|2 cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R +-+ 3 +-+ 2 +-+ 3 +--R (- 16\|2 cos(x) + 16\|2 cos(x))csc(x) + 16\|2 cos(x) +--R + +--R +-+ +--R - 16\|2 cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 3 +-+ 2 +-+ 3 +--R (8\|2 cos(x) - 8\|2 cos(x))csc(x) - 8\|2 cos(x) +--R + +--R +-+ +--R 8\|2 cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 5 +-+ 3 +-+ 2 +--R (- 16\|2 cos(x) + 32\|2 cos(x) - 16\|2 cos(x))csc(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R 16\|2 cos(x) - 32\|2 cos(x) + 16\|2 cos(x) +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R (- 8\|2 cos(x) + 32\|2 cos(x) - 40\|2 cos(x) + 16\|2 cos(x)) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R 8\|2 cos(x) - 32\|2 cos(x) + 40\|2 cos(x) - 16\|2 cos(x) +--R * +--R +---------------+3 +--R | 2 2 +--R +-+ |- a cos(x) - a +--R \|a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R +-+ 3 +-+ 2 +-+ 3 +--R (2a\|2 cos(x) - 2a\|2 cos(x))csc(x) - 2a\|2 cos(x) +--R + +--R +-+ +--R 2a\|2 cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R +-+ 4 +-+ 2 2 +-+ 4 +--R (8a\|2 cos(x) - 8a\|2 cos(x) )csc(x) - 8a\|2 cos(x) +--R + +--R +-+ 2 +--R 8a\|2 cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R 4a\|2 cos(x) - 8a\|2 cos(x) - 4a\|2 cos(x) +--R + +--R +-+ 2 +--R 8a\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R - 4a\|2 cos(x) + 8a\|2 cos(x) + 4a\|2 cos(x) +--R + +--R +-+ 2 +--R - 8a\|2 cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 6 +-+ 4 +-+ 3 +--R 8a\|2 cos(x) - 16a\|2 cos(x) - 8a\|2 cos(x) +--R + +--R +-+ 2 +-+ +--R 8a\|2 cos(x) + 8a\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 6 +-+ 4 +-+ 3 +--R - 8a\|2 cos(x) + 16a\|2 cos(x) + 8a\|2 cos(x) +--R + +--R +-+ 2 +-+ +--R - 8a\|2 cos(x) - 8a\|2 cos(x) +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R 2a\|2 cos(x) - 8a\|2 cos(x) - 10a\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 16a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 cos(x) +--R + +--R +-+ +--R - 8a\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R - 2a\|2 cos(x) + 8a\|2 cos(x) + 10a\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 16a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 cos(x) +--R + +--R +-+ +--R 8a\|2 cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R +-+ 3 +-+ 2 4 +--R (- 2a\|2 cos(x) + 2a\|2 cos(x))cot(x)csc(x) sin(x) +--R + +--R +-+ 4 +-+ 2 2 3 +--R (- 8a\|2 cos(x) + 8a\|2 cos(x) )cot(x)csc(x) sin(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R - 4a\|2 cos(x) + 8a\|2 cos(x) + 4a\|2 cos(x) +--R + +--R +-+ 2 +--R - 8a\|2 cos(x) +--R * +--R 2 2 +--R cot(x)csc(x) sin(x) +--R + +--R +-+ 6 +-+ 4 +-+ 3 +--R - 8a\|2 cos(x) + 16a\|2 cos(x) + 8a\|2 cos(x) +--R + +--R +-+ 2 +-+ +--R - 8a\|2 cos(x) - 8a\|2 cos(x) +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R - 2a\|2 cos(x) + 8a\|2 cos(x) + 10a\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 16a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 cos(x) +--R + +--R +-+ +--R 8a\|2 cos(x) +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R +-+ 3 +-+ 2 +-+ 3 +--R (2a\|2 cos(x) - 2a\|2 cos(x))csc(x) - 2a\|2 cos(x) +--R + +--R +-+ +--R 2a\|2 cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R +-+ 4 +-+ 2 2 +-+ 4 +--R (8a\|2 cos(x) - 8a\|2 cos(x) )csc(x) - 8a\|2 cos(x) +--R + +--R +-+ 2 +--R 8a\|2 cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R 4a\|2 cos(x) - 8a\|2 cos(x) - 4a\|2 cos(x) +--R + +--R +-+ 2 +--R 8a\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +-+ 2 +--R - 4a\|2 cos(x) + 8a\|2 cos(x) + 4a\|2 cos(x) - 8a\|2 cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 6 +-+ 4 +-+ 3 +--R 8a\|2 cos(x) - 16a\|2 cos(x) - 8a\|2 cos(x) +--R + +--R +-+ 2 +-+ +--R 8a\|2 cos(x) + 8a\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 6 +-+ 4 +-+ 3 +--R - 8a\|2 cos(x) + 16a\|2 cos(x) + 8a\|2 cos(x) +--R + +--R +-+ 2 +-+ +--R - 8a\|2 cos(x) - 8a\|2 cos(x) +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R 2a\|2 cos(x) - 8a\|2 cos(x) - 10a\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +-+ +--R 16a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 cos(x) - 8a\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +-+ 4 +--R - 2a\|2 cos(x) + 8a\|2 cos(x) + 10a\|2 cos(x) - 16a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +--R - 16a\|2 cos(x) + 8a\|2 cos(x) + 8a\|2 cos(x) +--R * +--R +---------------+ +--R | 2 2 +--R +-+ |- a cos(x) - a +--R \|a 4|--------------- +--R \| 4cos(x) - 4 +--R * +--R +-+ +-+ +--R \|2 \|a +--R atan(---------------) +--R +------------+ +--R \|a csc(x) - a +--R + +--R 5 +--R (4cos(x) + 2)sin(x) +--R + +--R 3 2 4 +--R (4cos(x) + 6cos(x) - 12cos(x) - 8)sin(x) +--R + +--R 4 3 2 3 +--R (8cos(x) - 2cos(x) - 14cos(x) + 6cos(x) + 4)sin(x) +--R + +--R 4 3 2 2 +--R (- 2cos(x) - 4cos(x) - 12cos(x) + 4cos(x) + 16)sin(x) +--R + +--R 6 5 4 3 2 +--R (8cos(x) - 6cos(x) - 28cos(x) + 6cos(x) + 36cos(x) - 16) +--R * +--R sin(x) +--R + +--R 7 6 5 4 3 2 +--R - 4cos(x) - 8cos(x) + 12cos(x) + 16cos(x) - 8cos(x) - 8cos(x) +--R * +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 5 +--R (- a cos(x) - a)sin(x) +--R + +--R 3 2 4 +--R (- 2a cos(x) - a cos(x) + 5a cos(x) + 4a)sin(x) +--R + +--R 4 3 2 3 +--R (4a cos(x) + 9a cos(x) + 4a cos(x) - 3a cos(x) - 2a)sin(x) +--R + +--R 4 3 2 2 +--R (- 3a cos(x) + a cos(x) + 2a cos(x) - 10a cos(x) - 8a)sin(x) +--R + +--R 6 5 4 3 2 +--R 4a cos(x) + 10a cos(x) + 3a cos(x) - 17a cos(x) - 14a cos(x) +--R + +--R 8a cos(x) + 8a +--R * +--R sin(x) +--R + +--R 7 6 5 4 3 +--R 2a cos(x) - 2a cos(x) - 10a cos(x) - 2a cos(x) + 8a cos(x) +--R + +--R 2 +--R 4a cos(x) +--R * +--R +------------+ +------------+ +--R \|a csc(x) - a \|a csc(x) + a +--R + +--R 3 4 +--R (- 8cos(x) + 8cos(x))cot(x)sin(x) +--R + +--R 3 3 +--R (16cos(x) - 16cos(x))cot(x)sin(x) +--R + +--R 3 2 +--R (- 8cos(x) + 8cos(x))cot(x)sin(x) +--R + +--R 5 3 +--R (16cos(x) - 32cos(x) + 16cos(x))cot(x)sin(x) +--R + +--R 7 5 3 +--R (8cos(x) - 32cos(x) + 40cos(x) - 16cos(x))cot(x) +--R * +--R +---------------+3 +--R | 2 2 +--R |- a cos(x) - a +--R tan(x) 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 3 4 +--R (- 2a cos(x) + 2a cos(x))cot(x)sin(x) +--R + +--R 4 2 3 +--R (- 8a cos(x) + 8a cos(x) )cot(x)sin(x) +--R + +--R 5 4 3 2 +--R (- 4a cos(x) + 8a cos(x) + 4a cos(x) - 8a cos(x) )cot(x) +--R * +--R 2 +--R sin(x) +--R + +--R 6 4 3 2 +--R - 8a cos(x) + 16a cos(x) + 8a cos(x) - 8a cos(x) +--R + +--R - 8a cos(x) +--R * +--R cot(x)sin(x) +--R + +--R 7 6 5 4 +--R - 2a cos(x) + 8a cos(x) + 10a cos(x) - 16a cos(x) +--R + +--R 3 2 +--R - 16a cos(x) + 8a cos(x) + 8a cos(x) +--R * +--R cot(x) +--R * +--R +---------------+ +--R | 2 2 +--R |- a cos(x) - a +--R tan(x) 4|--------------- +--R \| 4cos(x) - 4 +--R * +--R +------------+ +--R \|a csc(x) - a +--R / +--R 3 4 3 3 +--R (8cos(x) - 8cos(x))sin(x) + (- 16cos(x) + 16cos(x))sin(x) +--R + +--R 3 2 +--R (8cos(x) - 8cos(x))sin(x) +--R + +--R 5 3 7 5 +--R (- 16cos(x) + 32cos(x) - 16cos(x))sin(x) - 8cos(x) + 32cos(x) +--R + +--R 3 +--R - 40cos(x) + 16cos(x) +--R * +--R +---------------+3 +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 3 4 4 2 3 +--R (2a cos(x) - 2a cos(x))sin(x) + (8a cos(x) - 8a cos(x) )sin(x) +--R + +--R 5 4 3 2 2 +--R (4a cos(x) - 8a cos(x) - 4a cos(x) + 8a cos(x) )sin(x) +--R + +--R 6 4 3 2 +--R (8a cos(x) - 16a cos(x) - 8a cos(x) + 8a cos(x) + 8a cos(x)) +--R * +--R sin(x) +--R + +--R 7 6 5 4 3 +--R 2a cos(x) - 8a cos(x) - 10a cos(x) + 16a cos(x) + 16a cos(x) +--R + +--R 2 +--R - 8a cos(x) - 8a cos(x) +--R * +--R +---------------+ +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R * +--R +------------+ +------------+ +--R \|a csc(x) - a \|a csc(x) + a +--R Type: Expression Integer +--E 391 + +--S 392 of 528 +t0375:= 1/(a-a*csc(x))^(1/2) +--R +--R +--R 1 +--R (354) ----------------- +--R +--------------+ +--R \|- a csc(x) + a +--R Type: Expression Integer +--E 392 + +--S 393 of 528 +r0375:= -(2^(1/2)*atan(2^(1/2)*a^(1/2)/(-a-a*csc(x))^(1/2))+2*atan((-a-a*csc(x))^(1/2)/a^(1/2)))*(-a-a*csc(x))^(1/2)*(a-a*csc(x))^(1/2)*tan(x)/a^(3/2) +--R +--R +--R (355) +--R +--------------+ +--R +--------------+ +--------------+ \|- a csc(x) - a +--R - 2tan(x)\|- a csc(x) - a \|- a csc(x) + a atan(-----------------) +--R +-+ +--R \|a +--R + +--R +-+ +-+ +--R +-+ +--------------+ +--------------+ \|2 \|a +--R - \|2 tan(x)\|- a csc(x) - a \|- a csc(x) + a atan(-----------------) +--R +--------------+ +--R \|- a csc(x) - a +--R / +--R +-+ +--R a\|a +--R Type: Expression Integer +--E 393 + +--S 394 of 528 +a0375:= integrate(t0375,x) +--R +--R +--R (356) +--R [ +--R log +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R ((8cos(x) - 8)sin(x) + 8cos(x) - 8) 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 +---+ +--R ((8cos(x) - 12)sin(x) + 8cos(x) + 4cos(x) - 12)\|- a +--R * +--R +---------------+ +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 +--R 4a sin(x) - 4a cos(x) + 5a +--R + +--R +---------------+ +--R +-+ | 2 2 +--R |2 |- a cos(x) - a +--R +-+ (sin(x) + cos(x) - 1) |- 4|--------------- +--R +---+ |2 \|a \| 4cos(x) - 4 +--R 2\|- a |- atan(-------------------------------------------) +--R \|a cos(x) +--R / +--R +---+ +--R 2\|- a +--R , +--R +--R +---------------+ +--R | 2 2 +--R +-+ |- a cos(x) - a +--R (2sin(x) - 2cos(x) + 2)\|a 4|--------------- +--R \| 4cos(x) - 4 +--R - atan(-----------------------------------------------) +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R (2cos(x) - 2) 4|--------------- + a sin(x) + a +--R \| 4cos(x) - 4 +--R + +--R +---------------+ +--R +-+ | 2 2 +--R |2 |- a cos(x) - a +--R +-+ 2a |- 4|--------------- +--R |2 +-+ \|a \| 4cos(x) - 4 +--R - |- \|a atan(------------------------) +--R \|a +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R 2 4|--------------- - a +--R \| 4cos(x) - 4 +--R / +--R +-+ +--R \|a +--R ] +--R Type: Union(List Expression Integer,...) +--E 394 + +--S 395 of 528 +m0375a:= a0375.1-r0375 +--R +--R +--R (357) +--R +-+ +--R a\|a +--R * +--R log +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R ((8cos(x) - 8)sin(x) + 8cos(x) - 8) 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 +---+ +--R ((8cos(x) - 12)sin(x) + 8cos(x) + 4cos(x) - 12)\|- a +--R * +--R +---------------+ +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 +--R 4a sin(x) - 4a cos(x) + 5a +--R + +--R +---------------+ +--R +-+ | 2 2 +--R |2 |- a cos(x) - a +--R +-+ (sin(x) + cos(x) - 1) |- 4|--------------- +--R +---+ |2 +-+ \|a \| 4cos(x) - 4 +--R 2a\|- a |- \|a atan(-------------------------------------------) +--R \|a cos(x) +--R + +--R +--------------+ +--R +---+ +--------------+ +--------------+ \|- a csc(x) - a +--R 4tan(x)\|- a \|- a csc(x) - a \|- a csc(x) + a atan(-----------------) +--R +-+ +--R \|a +--R + +--R +-+ +-+ +--R +-+ +---+ +--------------+ +--------------+ \|2 \|a +--R 2\|2 tan(x)\|- a \|- a csc(x) - a \|- a csc(x) + a atan(-----------------) +--R +--------------+ +--R \|- a csc(x) - a +--R / +--R +---+ +-+ +--R 2a\|- a \|a +--R Type: Expression Integer +--E 395 + +--S 396 of 528 +d0375a:= D(m0375a,x) +--R +--R +--R (358) +--R 6 5 4 3 +--R 32cos(x) - 80cos(x) + 16cos(x) + 80cos(x) +--R + +--R 2 +--R - 48cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R 6 5 4 3 2 +--R - 32cos(x) + 80cos(x) - 16cos(x) - 80cos(x) + 48cos(x) +--R * +--R sin(x) +--R + +--R 7 6 5 4 3 +--R 32cos(x) - 16cos(x) - 96cos(x) + 64cos(x) + 64cos(x) +--R + +--R 2 +--R - 48cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R 7 6 5 4 3 +--R - 32cos(x) + 16cos(x) + 96cos(x) - 64cos(x) - 64cos(x) +--R + +--R 2 +--R 48cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R 6 5 4 3 +--R - 32cos(x) + 80cos(x) - 16cos(x) - 80cos(x) +--R + +--R 2 +--R 48cos(x) +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R + +--R 7 6 5 4 +--R - 32cos(x) + 16cos(x) + 96cos(x) - 64cos(x) +--R + +--R 3 2 +--R - 64cos(x) + 48cos(x) +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R 6 5 4 3 2 +--R (32cos(x) - 80cos(x) + 16cos(x) + 80cos(x) - 48cos(x) ) +--R * +--R 2 +--R csc(x) +--R + +--R 6 5 4 3 2 +--R - 32cos(x) + 80cos(x) - 16cos(x) - 80cos(x) + 48cos(x) +--R * +--R sin(x) +--R + +--R 7 6 5 4 3 +--R 32cos(x) - 16cos(x) - 96cos(x) + 64cos(x) + 64cos(x) +--R + +--R 2 +--R - 48cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R 7 6 5 4 3 +--R - 32cos(x) + 16cos(x) + 96cos(x) - 64cos(x) - 64cos(x) +--R + +--R 2 +--R 48cos(x) +--R * +--R +---------------+3 +--R | 2 2 +--R +---+ +-+ |- a cos(x) - a +--R \|- a \|a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 4 2 2 4 +--R (- 16a cos(x) + 32a cos(x) - 16a)csc(x) + 16a cos(x) +--R + +--R 2 +--R - 32a cos(x) + 16a +--R * +--R 3 +--R sin(x) +--R + +--R 5 4 3 +--R - 32a cos(x) + 16a cos(x) + 64a cos(x) +--R + +--R 2 +--R - 32a cos(x) - 32a cos(x) + 16a +--R * +--R 2 +--R csc(x) +--R + +--R 5 4 3 2 +--R 32a cos(x) - 16a cos(x) - 64a cos(x) + 32a cos(x) +--R + +--R 32a cos(x) - 16a +--R * +--R 2 +--R sin(x) +--R + +--R 6 5 4 +--R - 16a cos(x) + 16a cos(x) + 32a cos(x) +--R + +--R 3 2 +--R - 16a cos(x) - 32a cos(x) + 16a +--R * +--R 2 +--R csc(x) +--R + +--R 6 5 4 3 +--R 16a cos(x) - 16a cos(x) - 32a cos(x) + 16a cos(x) +--R + +--R 2 +--R 32a cos(x) - 16a +--R * +--R sin(x) +--R + +--R 7 5 4 3 +--R - 16a cos(x) + 68a cos(x) - 20a cos(x) - 84a cos(x) +--R + +--R 2 +--R 36a cos(x) + 32a cos(x) - 16a +--R * +--R 2 +--R csc(x) +--R + +--R 7 5 4 3 +--R 16a cos(x) - 68a cos(x) + 20a cos(x) + 84a cos(x) +--R + +--R 2 +--R - 36a cos(x) - 32a cos(x) + 16a +--R * +--R 2 +--R tan(x) +--R + +--R 4 2 2 3 +--R (16a cos(x) - 32a cos(x) + 16a)cot(x)csc(x) sin(x) +--R + +--R 5 4 3 2 +--R 32a cos(x) - 16a cos(x) - 64a cos(x) + 32a cos(x) +--R + +--R 32a cos(x) - 16a +--R * +--R 2 2 +--R cot(x)csc(x) sin(x) +--R + +--R 6 5 4 3 +--R 16a cos(x) - 16a cos(x) - 32a cos(x) + 16a cos(x) +--R + +--R 2 +--R 32a cos(x) - 16a +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R + +--R 7 5 4 3 +--R 16a cos(x) - 68a cos(x) + 20a cos(x) + 84a cos(x) +--R + +--R 2 +--R - 36a cos(x) - 32a cos(x) + 16a +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R 4 2 2 4 +--R (- 16a cos(x) + 32a cos(x) - 16a)csc(x) + 16a cos(x) +--R + +--R 2 +--R - 32a cos(x) + 16a +--R * +--R 3 +--R sin(x) +--R + +--R 5 4 3 2 +--R - 32a cos(x) + 16a cos(x) + 64a cos(x) - 32a cos(x) +--R + +--R - 32a cos(x) + 16a +--R * +--R 2 +--R csc(x) +--R + +--R 5 4 3 2 +--R 32a cos(x) - 16a cos(x) - 64a cos(x) + 32a cos(x) +--R + +--R 32a cos(x) - 16a +--R * +--R 2 +--R sin(x) +--R + +--R 6 5 4 3 +--R - 16a cos(x) + 16a cos(x) + 32a cos(x) - 16a cos(x) +--R + +--R 2 +--R - 32a cos(x) + 16a +--R * +--R 2 +--R csc(x) +--R + +--R 6 5 4 3 +--R 16a cos(x) - 16a cos(x) - 32a cos(x) + 16a cos(x) +--R + +--R 2 +--R 32a cos(x) - 16a +--R * +--R sin(x) +--R + +--R 7 5 4 3 +--R - 16a cos(x) + 68a cos(x) - 20a cos(x) - 84a cos(x) +--R + +--R 2 +--R 36a cos(x) + 32a cos(x) - 16a +--R * +--R 2 +--R csc(x) +--R + +--R 7 5 4 3 +--R 16a cos(x) - 68a cos(x) + 20a cos(x) + 84a cos(x) +--R + +--R 2 +--R - 36a cos(x) - 32a cos(x) + 16a +--R * +--R +---------------+2 +--R | 2 2 +--R +-+ |- a cos(x) - a +--R \|a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 4 3 2 +--R - 16a cos(x) + 8a cos(x) + 40a cos(x) - 8a cos(x) +--R + +--R - 24a +--R * +--R 2 +--R csc(x) +--R + +--R 4 3 2 +--R 16a cos(x) - 8a cos(x) - 40a cos(x) + 8a cos(x) + 24a +--R * +--R 3 +--R sin(x) +--R + +--R 5 4 3 +--R - 48a cos(x) + 24a cos(x) + 96a cos(x) +--R + +--R 2 +--R - 48a cos(x) - 48a cos(x) + 24a +--R * +--R 2 +--R csc(x) +--R + +--R 5 4 3 2 +--R 48a cos(x) - 24a cos(x) - 96a cos(x) + 48a cos(x) +--R + +--R 48a cos(x) - 24a +--R * +--R 2 +--R sin(x) +--R + +--R 6 5 4 +--R - 48a cos(x) + 24a cos(x) + 120a cos(x) +--R + +--R 3 2 +--R - 48a cos(x) - 96a cos(x) + 24a cos(x) + 24a +--R * +--R 2 +--R csc(x) +--R + +--R 6 5 4 3 +--R 48a cos(x) - 24a cos(x) - 120a cos(x) + 48a cos(x) +--R + +--R 2 +--R 96a cos(x) - 24a cos(x) - 24a +--R * +--R sin(x) +--R + +--R 7 6 5 4 +--R - 16a cos(x) + 8a cos(x) + 64a cos(x) - 40a cos(x) +--R + +--R 3 2 +--R - 80a cos(x) + 56a cos(x) + 32a cos(x) - 24a +--R * +--R 2 +--R csc(x) +--R + +--R 7 6 5 4 +--R 16a cos(x) - 8a cos(x) - 64a cos(x) + 40a cos(x) +--R + +--R 3 2 +--R 80a cos(x) - 56a cos(x) - 32a cos(x) + 24a +--R * +--R 2 +--R tan(x) +--R + +--R 4 3 2 +--R (16a cos(x) - 8a cos(x) - 40a cos(x) + 8a cos(x) + 24a) +--R * +--R 2 3 +--R cot(x)csc(x) sin(x) +--R + +--R 5 4 3 2 +--R 48a cos(x) - 24a cos(x) - 96a cos(x) + 48a cos(x) +--R + +--R 48a cos(x) - 24a +--R * +--R 2 2 +--R cot(x)csc(x) sin(x) +--R + +--R 6 5 4 3 +--R 48a cos(x) - 24a cos(x) - 120a cos(x) + 48a cos(x) +--R + +--R 2 +--R 96a cos(x) - 24a cos(x) - 24a +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R + +--R 7 6 5 4 +--R 16a cos(x) - 8a cos(x) - 64a cos(x) + 40a cos(x) +--R + +--R 3 2 +--R 80a cos(x) - 56a cos(x) - 32a cos(x) + 24a +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R 4 3 2 +--R - 16a cos(x) + 8a cos(x) + 40a cos(x) - 8a cos(x) +--R + +--R - 24a +--R * +--R 2 +--R csc(x) +--R + +--R 4 3 2 +--R 16a cos(x) - 8a cos(x) - 40a cos(x) + 8a cos(x) + 24a +--R * +--R 3 +--R sin(x) +--R + +--R 5 4 3 2 +--R - 48a cos(x) + 24a cos(x) + 96a cos(x) - 48a cos(x) +--R + +--R - 48a cos(x) + 24a +--R * +--R 2 +--R csc(x) +--R + +--R 5 4 3 2 +--R 48a cos(x) - 24a cos(x) - 96a cos(x) + 48a cos(x) +--R + +--R 48a cos(x) - 24a +--R * +--R 2 +--R sin(x) +--R + +--R 6 5 4 3 +--R - 48a cos(x) + 24a cos(x) + 120a cos(x) - 48a cos(x) +--R + +--R 2 +--R - 96a cos(x) + 24a cos(x) + 24a +--R * +--R 2 +--R csc(x) +--R + +--R 6 5 4 3 +--R 48a cos(x) - 24a cos(x) - 120a cos(x) + 48a cos(x) +--R + +--R 2 +--R 96a cos(x) - 24a cos(x) - 24a +--R * +--R sin(x) +--R + +--R 7 6 5 4 +--R - 16a cos(x) + 8a cos(x) + 64a cos(x) - 40a cos(x) +--R + +--R 3 2 +--R - 80a cos(x) + 56a cos(x) + 32a cos(x) - 24a +--R * +--R 2 +--R csc(x) +--R + +--R 7 6 5 4 +--R 16a cos(x) - 8a cos(x) - 64a cos(x) + 40a cos(x) +--R + +--R 3 2 +--R 80a cos(x) - 56a cos(x) - 32a cos(x) + 24a +--R * +--R +---------------+ +--R | 2 2 +--R +---+ +-+ |- a cos(x) - a +--R \|- a \|a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 3 2 2 2 2 2 +--R (- 8a cos(x) - 8a cos(x) + 8a cos(x) + 8a )csc(x) +--R + +--R 2 3 2 2 2 2 +--R 8a cos(x) + 8a cos(x) - 8a cos(x) - 8a +--R * +--R 3 +--R sin(x) +--R + +--R 2 5 2 4 2 3 2 2 +--R 8a cos(x) - 8a cos(x) - 18a cos(x) + 14a cos(x) +--R + +--R 2 2 +--R 10a cos(x) - 6a +--R * +--R 2 +--R csc(x) +--R + +--R 2 5 2 4 2 3 2 2 +--R - 8a cos(x) + 8a cos(x) + 18a cos(x) - 14a cos(x) +--R + +--R 2 2 +--R - 10a cos(x) + 6a +--R * +--R 2 +--R sin(x) +--R + +--R 2 6 2 5 2 4 2 3 +--R 8a cos(x) - 8a cos(x) - 28a cos(x) + 16a cos(x) +--R + +--R 2 2 2 2 +--R 32a cos(x) - 8a cos(x) - 12a +--R * +--R 2 +--R csc(x) +--R + +--R 2 6 2 5 2 4 2 3 +--R - 8a cos(x) + 8a cos(x) + 28a cos(x) - 16a cos(x) +--R + +--R 2 2 2 2 +--R - 32a cos(x) + 8a cos(x) + 12a +--R * +--R sin(x) +--R + +--R 2 7 2 6 2 5 2 4 +--R 8a cos(x) - 16a cos(x) - 26a cos(x) + 42a cos(x) +--R + +--R 2 3 2 2 2 2 +--R 28a cos(x) - 36a cos(x) - 10a cos(x) + 10a +--R * +--R 2 +--R csc(x) +--R + +--R 2 7 2 6 2 5 2 4 +--R - 8a cos(x) + 16a cos(x) + 26a cos(x) - 42a cos(x) +--R + +--R 2 3 2 2 2 2 +--R - 28a cos(x) + 36a cos(x) + 10a cos(x) - 10a +--R * +--R 2 +--R tan(x) +--R + +--R 2 3 2 2 2 2 2 +--R (8a cos(x) + 8a cos(x) - 8a cos(x) - 8a )cot(x)csc(x) +--R * +--R 3 +--R sin(x) +--R + +--R 2 5 2 4 2 3 2 2 +--R - 8a cos(x) + 8a cos(x) + 18a cos(x) - 14a cos(x) +--R + +--R 2 2 +--R - 10a cos(x) + 6a +--R * +--R 2 2 +--R cot(x)csc(x) sin(x) +--R + +--R 2 6 2 5 2 4 2 3 +--R - 8a cos(x) + 8a cos(x) + 28a cos(x) - 16a cos(x) +--R + +--R 2 2 2 2 +--R - 32a cos(x) + 8a cos(x) + 12a +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R + +--R 2 7 2 6 2 5 2 4 +--R - 8a cos(x) + 16a cos(x) + 26a cos(x) - 42a cos(x) +--R + +--R 2 3 2 2 2 2 +--R - 28a cos(x) + 36a cos(x) + 10a cos(x) - 10a +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R 2 3 2 2 2 2 2 +--R (- 8a cos(x) - 8a cos(x) + 8a cos(x) + 8a )csc(x) +--R + +--R 2 3 2 2 2 2 +--R 8a cos(x) + 8a cos(x) - 8a cos(x) - 8a +--R * +--R 3 +--R sin(x) +--R + +--R 2 5 2 4 2 3 2 2 +--R 8a cos(x) - 8a cos(x) - 18a cos(x) + 14a cos(x) +--R + +--R 2 2 +--R 10a cos(x) - 6a +--R * +--R 2 +--R csc(x) +--R + +--R 2 5 2 4 2 3 2 2 +--R - 8a cos(x) + 8a cos(x) + 18a cos(x) - 14a cos(x) +--R + +--R 2 2 +--R - 10a cos(x) + 6a +--R * +--R 2 +--R sin(x) +--R + +--R 2 6 2 5 2 4 2 3 +--R 8a cos(x) - 8a cos(x) - 28a cos(x) + 16a cos(x) +--R + +--R 2 2 2 2 +--R 32a cos(x) - 8a cos(x) - 12a +--R * +--R 2 +--R csc(x) +--R + +--R 2 6 2 5 2 4 2 3 +--R - 8a cos(x) + 8a cos(x) + 28a cos(x) - 16a cos(x) +--R + +--R 2 2 2 2 +--R - 32a cos(x) + 8a cos(x) + 12a +--R * +--R sin(x) +--R + +--R 2 7 2 6 2 5 2 4 +--R 8a cos(x) - 16a cos(x) - 26a cos(x) + 42a cos(x) +--R + +--R 2 3 2 2 2 2 +--R 28a cos(x) - 36a cos(x) - 10a cos(x) + 10a +--R * +--R 2 +--R csc(x) +--R + +--R 2 7 2 6 2 5 2 4 +--R - 8a cos(x) + 16a cos(x) + 26a cos(x) - 42a cos(x) +--R + +--R 2 3 2 2 2 2 +--R - 28a cos(x) + 36a cos(x) + 10a cos(x) - 10a +--R * +--R +-+ +--R \|a +--R * +--R +--------------+ +--R \|- a csc(x) - a +--R atan(-----------------) +--R +-+ +--R \|a +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R 16\|2 cos(x) - 40\|2 cos(x) + 8\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +--R 40\|2 cos(x) - 24\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R - 16\|2 cos(x) + 40\|2 cos(x) - 8\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +--R - 40\|2 cos(x) + 24\|2 cos(x) +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R 16\|2 cos(x) - 8\|2 cos(x) - 48\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 32\|2 cos(x) + 32\|2 cos(x) - 24\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R - 16\|2 cos(x) + 8\|2 cos(x) + 48\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 32\|2 cos(x) - 32\|2 cos(x) + 24\|2 cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R - 16\|2 cos(x) + 40\|2 cos(x) - 8\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +--R - 40\|2 cos(x) + 24\|2 cos(x) +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R - 16\|2 cos(x) + 8\|2 cos(x) + 48\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 32\|2 cos(x) - 32\|2 cos(x) + 24\|2 cos(x) +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R 16\|2 cos(x) - 40\|2 cos(x) + 8\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +--R 40\|2 cos(x) - 24\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R - 16\|2 cos(x) + 40\|2 cos(x) - 8\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +--R - 40\|2 cos(x) + 24\|2 cos(x) +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +-+ 4 +--R 16\|2 cos(x) - 8\|2 cos(x) - 48\|2 cos(x) + 32\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +--R 32\|2 cos(x) - 24\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +-+ 4 +--R - 16\|2 cos(x) + 8\|2 cos(x) + 48\|2 cos(x) - 32\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +--R - 32\|2 cos(x) + 24\|2 cos(x) +--R * +--R +---------------+3 +--R | 2 2 +--R +---+ +-+ |- a cos(x) - a +--R \|- a \|a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (- 8a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 )csc(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 8a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R - 16a\|2 cos(x) + 8a\|2 cos(x) + 32a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R - 16a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R 16a\|2 cos(x) - 8a\|2 cos(x) - 32a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R 16a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R - 8a\|2 cos(x) + 8a\|2 cos(x) + 16a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +--R - 8a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R 8a\|2 cos(x) - 8a\|2 cos(x) - 16a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +--R 8a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 5 +-+ 4 +--R - 8a\|2 cos(x) + 34a\|2 cos(x) - 10a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R - 42a\|2 cos(x) + 18a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 7 +-+ 5 +-+ 4 +--R 8a\|2 cos(x) - 34a\|2 cos(x) + 10a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R 42a\|2 cos(x) - 18a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 +--R * +--R 2 +--R tan(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 3 +--R (8a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 )cot(x)csc(x) sin(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R 16a\|2 cos(x) - 8a\|2 cos(x) - 32a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R 16a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 +--R * +--R 2 2 +--R cot(x)csc(x) sin(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R 8a\|2 cos(x) - 8a\|2 cos(x) - 16a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +--R 8a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R + +--R +-+ 7 +-+ 5 +-+ 4 +--R 8a\|2 cos(x) - 34a\|2 cos(x) + 10a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R 42a\|2 cos(x) - 18a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R +-+ 4 +-+ 2 +-+ 2 +--R (- 8a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 )csc(x) +--R + +--R +-+ 4 +-+ 2 +-+ +--R 8a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R - 16a\|2 cos(x) + 8a\|2 cos(x) + 32a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R - 16a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R 16a\|2 cos(x) - 8a\|2 cos(x) - 32a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R 16a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R - 8a\|2 cos(x) + 8a\|2 cos(x) + 16a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +--R - 8a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R 8a\|2 cos(x) - 8a\|2 cos(x) - 16a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +--R 8a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 5 +-+ 4 +--R - 8a\|2 cos(x) + 34a\|2 cos(x) - 10a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R - 42a\|2 cos(x) + 18a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 7 +-+ 5 +-+ 4 +-+ 3 +--R 8a\|2 cos(x) - 34a\|2 cos(x) + 10a\|2 cos(x) + 42a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R - 18a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 +--R * +--R +---------------+2 +--R | 2 2 +--R +-+ |- a cos(x) - a +--R \|a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 8a\|2 cos(x) + 4a\|2 cos(x) + 20a\|2 cos(x) +--R + +--R +-+ +-+ +--R - 4a\|2 cos(x) - 12a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 8a\|2 cos(x) - 4a\|2 cos(x) - 20a\|2 cos(x) +--R + +--R +-+ +-+ +--R 4a\|2 cos(x) + 12a\|2 +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R - 24a\|2 cos(x) + 12a\|2 cos(x) + 48a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R - 24a\|2 cos(x) - 24a\|2 cos(x) + 12a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R 24a\|2 cos(x) - 12a\|2 cos(x) - 48a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R 24a\|2 cos(x) + 24a\|2 cos(x) - 12a\|2 +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R - 24a\|2 cos(x) + 12a\|2 cos(x) + 60a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +--R - 24a\|2 cos(x) - 48a\|2 cos(x) + 12a\|2 cos(x) +--R + +--R +-+ +--R 12a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R 24a\|2 cos(x) - 12a\|2 cos(x) - 60a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R 24a\|2 cos(x) + 48a\|2 cos(x) - 12a\|2 cos(x) - 12a\|2 +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R - 8a\|2 cos(x) + 4a\|2 cos(x) + 32a\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 20a\|2 cos(x) - 40a\|2 cos(x) + 28a\|2 cos(x) +--R + +--R +-+ +-+ +--R 16a\|2 cos(x) - 12a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R 8a\|2 cos(x) - 4a\|2 cos(x) - 32a\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 20a\|2 cos(x) + 40a\|2 cos(x) - 28a\|2 cos(x) +--R + +--R +-+ +-+ +--R - 16a\|2 cos(x) + 12a\|2 +--R * +--R 2 +--R tan(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 8a\|2 cos(x) - 4a\|2 cos(x) - 20a\|2 cos(x) +--R + +--R +-+ +-+ +--R 4a\|2 cos(x) + 12a\|2 +--R * +--R 2 3 +--R cot(x)csc(x) sin(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R 24a\|2 cos(x) - 12a\|2 cos(x) - 48a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R 24a\|2 cos(x) + 24a\|2 cos(x) - 12a\|2 +--R * +--R 2 2 +--R cot(x)csc(x) sin(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R 24a\|2 cos(x) - 12a\|2 cos(x) - 60a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R 24a\|2 cos(x) + 48a\|2 cos(x) - 12a\|2 cos(x) - 12a\|2 +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R 8a\|2 cos(x) - 4a\|2 cos(x) - 32a\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 20a\|2 cos(x) + 40a\|2 cos(x) - 28a\|2 cos(x) +--R + +--R +-+ +-+ +--R - 16a\|2 cos(x) + 12a\|2 +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 8a\|2 cos(x) + 4a\|2 cos(x) + 20a\|2 cos(x) +--R + +--R +-+ +-+ +--R - 4a\|2 cos(x) - 12a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +-+ +--R 8a\|2 cos(x) - 4a\|2 cos(x) - 20a\|2 cos(x) + 4a\|2 cos(x) +--R + +--R +-+ +--R 12a\|2 +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R - 24a\|2 cos(x) + 12a\|2 cos(x) + 48a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R - 24a\|2 cos(x) - 24a\|2 cos(x) + 12a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R 24a\|2 cos(x) - 12a\|2 cos(x) - 48a\|2 cos(x) +--R + +--R +-+ 2 +-+ +-+ +--R 24a\|2 cos(x) + 24a\|2 cos(x) - 12a\|2 +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R - 24a\|2 cos(x) + 12a\|2 cos(x) + 60a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R - 24a\|2 cos(x) - 48a\|2 cos(x) + 12a\|2 cos(x) + 12a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 6 +-+ 5 +-+ 4 +--R 24a\|2 cos(x) - 12a\|2 cos(x) - 60a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R 24a\|2 cos(x) + 48a\|2 cos(x) - 12a\|2 cos(x) - 12a\|2 +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R - 8a\|2 cos(x) + 4a\|2 cos(x) + 32a\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 20a\|2 cos(x) - 40a\|2 cos(x) + 28a\|2 cos(x) +--R + +--R +-+ +-+ +--R 16a\|2 cos(x) - 12a\|2 +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +-+ 4 +--R 8a\|2 cos(x) - 4a\|2 cos(x) - 32a\|2 cos(x) + 20a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +-+ +--R 40a\|2 cos(x) - 28a\|2 cos(x) - 16a\|2 cos(x) + 12a\|2 +--R * +--R +---------------+ +--R | 2 2 +--R +---+ +-+ |- a cos(x) - a +--R \|- a \|a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ +--R - 4a \|2 cos(x) - 4a \|2 cos(x) + 4a \|2 cos(x) +--R + +--R 2 +-+ +--R 4a \|2 +--R * +--R 2 +--R csc(x) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ 2 +-+ +--R 4a \|2 cos(x) + 4a \|2 cos(x) - 4a \|2 cos(x) - 4a \|2 +--R * +--R 3 +--R sin(x) +--R + +--R 2 +-+ 5 2 +-+ 4 2 +-+ 3 +--R 4a \|2 cos(x) - 4a \|2 cos(x) - 9a \|2 cos(x) +--R + +--R 2 +-+ 2 2 +-+ 2 +-+ +--R 7a \|2 cos(x) + 5a \|2 cos(x) - 3a \|2 +--R * +--R 2 +--R csc(x) +--R + +--R 2 +-+ 5 2 +-+ 4 2 +-+ 3 +--R - 4a \|2 cos(x) + 4a \|2 cos(x) + 9a \|2 cos(x) +--R + +--R 2 +-+ 2 2 +-+ 2 +-+ +--R - 7a \|2 cos(x) - 5a \|2 cos(x) + 3a \|2 +--R * +--R 2 +--R sin(x) +--R + +--R 2 +-+ 6 2 +-+ 5 2 +-+ 4 +--R 4a \|2 cos(x) - 4a \|2 cos(x) - 14a \|2 cos(x) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ +--R 8a \|2 cos(x) + 16a \|2 cos(x) - 4a \|2 cos(x) +--R + +--R 2 +-+ +--R - 6a \|2 +--R * +--R 2 +--R csc(x) +--R + +--R 2 +-+ 6 2 +-+ 5 2 +-+ 4 +--R - 4a \|2 cos(x) + 4a \|2 cos(x) + 14a \|2 cos(x) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ +--R - 8a \|2 cos(x) - 16a \|2 cos(x) + 4a \|2 cos(x) +--R + +--R 2 +-+ +--R 6a \|2 +--R * +--R sin(x) +--R + +--R 2 +-+ 7 2 +-+ 6 2 +-+ 5 +--R 4a \|2 cos(x) - 8a \|2 cos(x) - 13a \|2 cos(x) +--R + +--R 2 +-+ 4 2 +-+ 3 2 +-+ 2 +--R 21a \|2 cos(x) + 14a \|2 cos(x) - 18a \|2 cos(x) +--R + +--R 2 +-+ 2 +-+ +--R - 5a \|2 cos(x) + 5a \|2 +--R * +--R 2 +--R csc(x) +--R + +--R 2 +-+ 7 2 +-+ 6 2 +-+ 5 +--R - 4a \|2 cos(x) + 8a \|2 cos(x) + 13a \|2 cos(x) +--R + +--R 2 +-+ 4 2 +-+ 3 2 +-+ 2 +--R - 21a \|2 cos(x) - 14a \|2 cos(x) + 18a \|2 cos(x) +--R + +--R 2 +-+ 2 +-+ +--R 5a \|2 cos(x) - 5a \|2 +--R * +--R 2 +--R tan(x) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ 2 +-+ +--R (4a \|2 cos(x) + 4a \|2 cos(x) - 4a \|2 cos(x) - 4a \|2 ) +--R * +--R 2 3 +--R cot(x)csc(x) sin(x) +--R + +--R 2 +-+ 5 2 +-+ 4 2 +-+ 3 +--R - 4a \|2 cos(x) + 4a \|2 cos(x) + 9a \|2 cos(x) +--R + +--R 2 +-+ 2 2 +-+ 2 +-+ +--R - 7a \|2 cos(x) - 5a \|2 cos(x) + 3a \|2 +--R * +--R 2 2 +--R cot(x)csc(x) sin(x) +--R + +--R 2 +-+ 6 2 +-+ 5 2 +-+ 4 +--R - 4a \|2 cos(x) + 4a \|2 cos(x) + 14a \|2 cos(x) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ +--R - 8a \|2 cos(x) - 16a \|2 cos(x) + 4a \|2 cos(x) +--R + +--R 2 +-+ +--R 6a \|2 +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R + +--R 2 +-+ 7 2 +-+ 6 2 +-+ 5 +--R - 4a \|2 cos(x) + 8a \|2 cos(x) + 13a \|2 cos(x) +--R + +--R 2 +-+ 4 2 +-+ 3 2 +-+ 2 +--R - 21a \|2 cos(x) - 14a \|2 cos(x) + 18a \|2 cos(x) +--R + +--R 2 +-+ 2 +-+ +--R 5a \|2 cos(x) - 5a \|2 +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ +--R - 4a \|2 cos(x) - 4a \|2 cos(x) + 4a \|2 cos(x) +--R + +--R 2 +-+ +--R 4a \|2 +--R * +--R 2 +--R csc(x) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ 2 +-+ +--R 4a \|2 cos(x) + 4a \|2 cos(x) - 4a \|2 cos(x) - 4a \|2 +--R * +--R 3 +--R sin(x) +--R + +--R 2 +-+ 5 2 +-+ 4 2 +-+ 3 +--R 4a \|2 cos(x) - 4a \|2 cos(x) - 9a \|2 cos(x) +--R + +--R 2 +-+ 2 2 +-+ 2 +-+ +--R 7a \|2 cos(x) + 5a \|2 cos(x) - 3a \|2 +--R * +--R 2 +--R csc(x) +--R + +--R 2 +-+ 5 2 +-+ 4 2 +-+ 3 +--R - 4a \|2 cos(x) + 4a \|2 cos(x) + 9a \|2 cos(x) +--R + +--R 2 +-+ 2 2 +-+ 2 +-+ +--R - 7a \|2 cos(x) - 5a \|2 cos(x) + 3a \|2 +--R * +--R 2 +--R sin(x) +--R + +--R 2 +-+ 6 2 +-+ 5 2 +-+ 4 +--R 4a \|2 cos(x) - 4a \|2 cos(x) - 14a \|2 cos(x) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ 2 +-+ +--R 8a \|2 cos(x) + 16a \|2 cos(x) - 4a \|2 cos(x) - 6a \|2 +--R * +--R 2 +--R csc(x) +--R + +--R 2 +-+ 6 2 +-+ 5 2 +-+ 4 +--R - 4a \|2 cos(x) + 4a \|2 cos(x) + 14a \|2 cos(x) +--R + +--R 2 +-+ 3 2 +-+ 2 2 +-+ 2 +-+ +--R - 8a \|2 cos(x) - 16a \|2 cos(x) + 4a \|2 cos(x) + 6a \|2 +--R * +--R sin(x) +--R + +--R 2 +-+ 7 2 +-+ 6 2 +-+ 5 +--R 4a \|2 cos(x) - 8a \|2 cos(x) - 13a \|2 cos(x) +--R + +--R 2 +-+ 4 2 +-+ 3 2 +-+ 2 +--R 21a \|2 cos(x) + 14a \|2 cos(x) - 18a \|2 cos(x) +--R + +--R 2 +-+ 2 +-+ +--R - 5a \|2 cos(x) + 5a \|2 +--R * +--R 2 +--R csc(x) +--R + +--R 2 +-+ 7 2 +-+ 6 2 +-+ 5 +--R - 4a \|2 cos(x) + 8a \|2 cos(x) + 13a \|2 cos(x) +--R + +--R 2 +-+ 4 2 +-+ 3 2 +-+ 2 +--R - 21a \|2 cos(x) - 14a \|2 cos(x) + 18a \|2 cos(x) +--R + +--R 2 +-+ 2 +-+ +--R 5a \|2 cos(x) - 5a \|2 +--R * +--R +-+ +--R \|a +--R * +--R +-+ +-+ +--R \|2 \|a +--R atan(-----------------) +--R +--------------+ +--R \|- a csc(x) - a +--R + +--R 3 2 3 +--R (16cos(x) - 8cos(x) - 24cos(x) + 16)sin(x) +--R + +--R 5 4 3 2 +--R (- 24cos(x) + 20cos(x) + 34cos(x) - 28cos(x) - 6cos(x) + 4) +--R * +--R 2 +--R sin(x) +--R + +--R 6 5 4 3 2 +--R - 16cos(x) + 40cos(x) + 2cos(x) - 70cos(x) + 34cos(x) +--R + +--R 30cos(x) - 20 +--R * +--R sin(x) +--R + +--R 7 6 5 4 3 +--R - 8cos(x) - 4cos(x) + 40cos(x) - 16cos(x) - 32cos(x) +--R + +--R 2 +--R 20cos(x) +--R * +--R +--------------+ +--------------+ +--R \|- a csc(x) - a \|- a csc(x) + a +--R + +--R 6 5 4 3 2 +--R (- 16cos(x) + 40cos(x) - 8cos(x) - 40cos(x) + 24cos(x) ) +--R * +--R cot(x)sin(x) +--R + +--R 7 6 5 4 3 +--R - 16cos(x) + 8cos(x) + 48cos(x) - 32cos(x) - 32cos(x) +--R + +--R 2 +--R 24cos(x) +--R * +--R cot(x) +--R * +--R +---+ +--------------+ +--R tan(x)\|- a \|- a csc(x) - a +--R * +--R +---------------+3 +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 3 4 +--R (- 4cos(x) + 4cos(x))sin(x) +--R + +--R 4 3 2 3 +--R (- 8cos(x) + 4cos(x) + 8cos(x) - 4cos(x))sin(x) +--R + +--R 5 3 7 6 +--R (- 4cos(x) + 8cos(x) - 4cos(x))sin(x) + 4cos(x) - 12cos(x) +--R + +--R 4 3 2 +--R 20cos(x) - 8cos(x) - 8cos(x) + 4cos(x) +--R * +--R +---+ +--------------+ +--------------+ +--R \|- a \|- a csc(x) - a \|- a csc(x) + a +--R + +--R 4 2 3 +--R (8a cos(x) - 16a cos(x) + 8a)cot(x)sin(x) +--R + +--R 5 4 3 2 +--R 16a cos(x) - 8a cos(x) - 32a cos(x) + 16a cos(x) +--R + +--R 16a cos(x) - 8a +--R * +--R 2 +--R cot(x)sin(x) +--R + +--R 6 5 4 3 +--R 8a cos(x) - 8a cos(x) - 16a cos(x) + 8a cos(x) +--R + +--R 2 +--R 16a cos(x) - 8a +--R * +--R cot(x)sin(x) +--R + +--R 7 5 4 3 +--R 8a cos(x) - 34a cos(x) + 10a cos(x) + 42a cos(x) +--R + +--R 2 +--R - 18a cos(x) - 16a cos(x) + 8a +--R * +--R cot(x) +--R * +--R +--------------+ +--R tan(x)\|- a csc(x) - a +--R * +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 3 2 4 +--R (4a cos(x) + 2a cos(x) - 3a cos(x) - a)sin(x) +--R + +--R 4 2 3 +--R (8a cos(x) - 3a cos(x) - 5a)sin(x) +--R + +--R 5 4 3 2 +--R 16a cos(x) - 8a cos(x) - 27a cos(x) + 11a cos(x) +--R + +--R 11a cos(x) - 3a +--R * +--R 2 +--R sin(x) +--R + +--R 6 5 4 3 +--R - 8a cos(x) + 4a cos(x) + 19a cos(x) - 2a cos(x) +--R + +--R 2 +--R - 20a cos(x) - 2a cos(x) + 9a +--R * +--R sin(x) +--R + +--R 7 6 5 4 3 +--R - 4a cos(x) + 2a cos(x) + 2a cos(x) - 4a cos(x) + 8a cos(x) +--R + +--R 2 +--R 2a cos(x) - 6a cos(x) +--R * +--R +--------------+ +--------------+ +--R \|- a csc(x) - a \|- a csc(x) + a +--R + +--R 4 3 2 +--R (8a cos(x) - 4a cos(x) - 20a cos(x) + 4a cos(x) + 12a)cot(x) +--R * +--R 3 +--R sin(x) +--R + +--R 5 4 3 2 +--R 24a cos(x) - 12a cos(x) - 48a cos(x) + 24a cos(x) +--R + +--R 24a cos(x) - 12a +--R * +--R 2 +--R cot(x)sin(x) +--R + +--R 6 5 4 3 +--R 24a cos(x) - 12a cos(x) - 60a cos(x) + 24a cos(x) +--R + +--R 2 +--R 48a cos(x) - 12a cos(x) - 12a +--R * +--R cot(x)sin(x) +--R + +--R 7 6 5 4 +--R 8a cos(x) - 4a cos(x) - 32a cos(x) + 20a cos(x) +--R + +--R 3 2 +--R 40a cos(x) - 28a cos(x) - 16a cos(x) + 12a +--R * +--R cot(x) +--R * +--R +---+ +--------------+ +--R tan(x)\|- a \|- a csc(x) - a +--R * +--R +---------------+ +--R | 2 2 +--R |- a cos(x) - a +--R 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 4 3 2 3 +--R (- 4a cos(x) + 4a cos(x) + 18a cos(x) - 2a cos(x) - 12a)sin(x) +--R + +--R 5 4 2 2 +--R (- 2a cos(x) - 10a cos(x) + 10a cos(x) + 2a cos(x))sin(x) +--R + +--R 6 5 4 3 +--R - 4a cos(x) + 6a cos(x) + 22a cos(x) - 8a cos(x) +--R + +--R 2 +--R - 30a cos(x) + 2a cos(x) + 12a +--R * +--R sin(x) +--R + +--R 7 6 5 4 3 +--R - 6a cos(x) - 10a cos(x) + 10a cos(x) + 20a cos(x) - 2a cos(x) +--R + +--R 2 +--R - 10a cos(x) - 2a cos(x) +--R * +--R +---+ +--------------+ +--------------+ +--R \|- a \|- a csc(x) - a \|- a csc(x) + a +--R + +--R 2 3 2 2 2 2 3 +--R (4a cos(x) + 4a cos(x) - 4a cos(x) - 4a )cot(x)sin(x) +--R + +--R 2 5 2 4 2 3 2 2 2 +--R - 4a cos(x) + 4a cos(x) + 9a cos(x) - 7a cos(x) - 5a cos(x) +--R + +--R 2 +--R 3a +--R * +--R 2 +--R cot(x)sin(x) +--R + +--R 2 6 2 5 2 4 2 3 +--R - 4a cos(x) + 4a cos(x) + 14a cos(x) - 8a cos(x) +--R + +--R 2 2 2 2 +--R - 16a cos(x) + 4a cos(x) + 6a +--R * +--R cot(x)sin(x) +--R + +--R 2 7 2 6 2 5 2 4 +--R - 4a cos(x) + 8a cos(x) + 13a cos(x) - 21a cos(x) +--R + +--R 2 3 2 2 2 2 +--R - 14a cos(x) + 18a cos(x) + 5a cos(x) - 5a +--R * +--R cot(x) +--R * +--R +--------------+ +--R tan(x)\|- a csc(x) - a +--R / +--R 6 5 4 3 2 +--R (16cos(x) - 40cos(x) + 8cos(x) + 40cos(x) - 24cos(x) )sin(x) +--R + +--R 7 6 5 4 3 2 +--R 16cos(x) - 8cos(x) - 48cos(x) + 32cos(x) + 32cos(x) - 24cos(x) +--R * +--R +---------------+3 +--R | 2 2 +--R +---+ +--------------+ +--------------+ |- a cos(x) - a +--R \|- a \|- a csc(x) - a \|- a csc(x) + a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 4 2 3 +--R (- 8a cos(x) + 16a cos(x) - 8a)sin(x) +--R + +--R 5 4 3 2 +--R - 16a cos(x) + 8a cos(x) + 32a cos(x) - 16a cos(x) +--R + +--R - 16a cos(x) + 8a +--R * +--R 2 +--R sin(x) +--R + +--R 6 5 4 3 +--R - 8a cos(x) + 8a cos(x) + 16a cos(x) - 8a cos(x) +--R + +--R 2 +--R - 16a cos(x) + 8a +--R * +--R sin(x) +--R + +--R 7 5 4 3 2 +--R - 8a cos(x) + 34a cos(x) - 10a cos(x) - 42a cos(x) + 18a cos(x) +--R + +--R 16a cos(x) - 8a +--R * +--R +---------------+2 +--R | 2 2 +--R +--------------+ +--------------+ |- a cos(x) - a +--R \|- a csc(x) - a \|- a csc(x) + a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 4 3 2 3 +--R (- 8a cos(x) + 4a cos(x) + 20a cos(x) - 4a cos(x) - 12a)sin(x) +--R + +--R 5 4 3 2 +--R - 24a cos(x) + 12a cos(x) + 48a cos(x) - 24a cos(x) +--R + +--R - 24a cos(x) + 12a +--R * +--R 2 +--R sin(x) +--R + +--R 6 5 4 3 +--R - 24a cos(x) + 12a cos(x) + 60a cos(x) - 24a cos(x) +--R + +--R 2 +--R - 48a cos(x) + 12a cos(x) + 12a +--R * +--R sin(x) +--R + +--R 7 6 5 4 3 +--R - 8a cos(x) + 4a cos(x) + 32a cos(x) - 20a cos(x) - 40a cos(x) +--R + +--R 2 +--R 28a cos(x) + 16a cos(x) - 12a +--R * +--R +---------------+ +--R | 2 2 +--R +---+ +--------------+ +--------------+ |- a cos(x) - a +--R \|- a \|- a csc(x) - a \|- a csc(x) + a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 2 3 2 2 2 2 3 +--R (- 4a cos(x) - 4a cos(x) + 4a cos(x) + 4a )sin(x) +--R + +--R 2 5 2 4 2 3 2 2 2 +--R 4a cos(x) - 4a cos(x) - 9a cos(x) + 7a cos(x) + 5a cos(x) +--R + +--R 2 +--R - 3a +--R * +--R 2 +--R sin(x) +--R + +--R 2 6 2 5 2 4 2 3 2 2 +--R 4a cos(x) - 4a cos(x) - 14a cos(x) + 8a cos(x) + 16a cos(x) +--R + +--R 2 2 +--R - 4a cos(x) - 6a +--R * +--R sin(x) +--R + +--R 2 7 2 6 2 5 2 4 2 3 +--R 4a cos(x) - 8a cos(x) - 13a cos(x) + 21a cos(x) + 14a cos(x) +--R + +--R 2 2 2 2 +--R - 18a cos(x) - 5a cos(x) + 5a +--R * +--R +--------------+ +--------------+ +--R \|- a csc(x) - a \|- a csc(x) + a +--R Type: Expression Integer +--E 396 + +--S 397 of 528 +m0375b:= a0375.2-r0375 +--R +--R +--R (359) +--R +--------------+ +--R +--------------+ +--------------+ \|- a csc(x) - a +--R 2tan(x)\|- a csc(x) - a \|- a csc(x) + a atan(-----------------) +--R +-+ +--R \|a +--R + +--R +-+ +-+ +--R +-+ +--------------+ +--------------+ \|2 \|a +--R \|2 tan(x)\|- a csc(x) - a \|- a csc(x) + a atan(-----------------) +--R +--------------+ +--R \|- a csc(x) - a +--R + +--R +---------------+ +--R | 2 2 +--R +-+ |- a cos(x) - a +--R (2sin(x) - 2cos(x) + 2)\|a 4|--------------- +--R \| 4cos(x) - 4 +--R - a atan(-----------------------------------------------) +--R +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R (2cos(x) - 2) 4|--------------- + a sin(x) + a +--R \| 4cos(x) - 4 +--R + +--R +---------------+ +--R +-+ | 2 2 +--R |2 |- a cos(x) - a +--R +-+ 2a |- 4|--------------- +--R |2 +-+ \|a \| 4cos(x) - 4 +--R - a |- \|a atan(------------------------) +--R \|a +---------------+2 +--R | 2 2 +--R |- a cos(x) - a +--R 2 4|--------------- - a +--R \| 4cos(x) - 4 +--R / +--R +-+ +--R a\|a +--R Type: Expression Integer +--E 397 + +--S 398 of 528 +d0375b:= D(m0375b,x) +--R +--R +--R (360) +--R 3 2 3 4 +--R ((16cos(x) - 16cos(x))csc(x) - 16cos(x) + 16cos(x))sin(x) +--R + +--R 3 2 3 3 +--R ((32cos(x) - 32cos(x))csc(x) - 32cos(x) + 32cos(x))sin(x) +--R + +--R 3 2 3 2 +--R ((16cos(x) - 16cos(x))csc(x) - 16cos(x) + 16cos(x))sin(x) +--R + +--R 5 3 2 5 +--R (32cos(x) - 64cos(x) + 32cos(x))csc(x) - 32cos(x) +--R + +--R 3 +--R 64cos(x) - 32cos(x) +--R * +--R sin(x) +--R + +--R 7 5 3 2 +--R (- 16cos(x) + 64cos(x) - 80cos(x) + 32cos(x))csc(x) +--R + +--R 7 5 3 +--R 16cos(x) - 64cos(x) + 80cos(x) - 32cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R 3 2 4 +--R (- 16cos(x) + 16cos(x))cot(x)csc(x) sin(x) +--R + +--R 3 2 3 +--R (- 32cos(x) + 32cos(x))cot(x)csc(x) sin(x) +--R + +--R 3 2 2 +--R (- 16cos(x) + 16cos(x))cot(x)csc(x) sin(x) +--R + +--R 5 3 2 +--R (- 32cos(x) + 64cos(x) - 32cos(x))cot(x)csc(x) sin(x) +--R + +--R 7 5 3 2 +--R (16cos(x) - 64cos(x) + 80cos(x) - 32cos(x))cot(x)csc(x) +--R * +--R tan(x) +--R + +--R 3 2 3 4 +--R ((16cos(x) - 16cos(x))csc(x) - 16cos(x) + 16cos(x))sin(x) +--R + +--R 3 2 3 3 +--R ((32cos(x) - 32cos(x))csc(x) - 32cos(x) + 32cos(x))sin(x) +--R + +--R 3 2 3 2 +--R ((16cos(x) - 16cos(x))csc(x) - 16cos(x) + 16cos(x))sin(x) +--R + +--R 5 3 2 5 +--R (32cos(x) - 64cos(x) + 32cos(x))csc(x) - 32cos(x) +--R + +--R 3 +--R 64cos(x) - 32cos(x) +--R * +--R sin(x) +--R + +--R 7 5 3 2 +--R (- 16cos(x) + 64cos(x) - 80cos(x) + 32cos(x))csc(x) +--R + +--R 7 5 3 +--R 16cos(x) - 64cos(x) + 80cos(x) - 32cos(x) +--R * +--R +---------------+3 +--R | 2 2 +--R +-+ |- a cos(x) - a +--R \|a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 3 2 3 +--R ((4a cos(x) - 4a cos(x))csc(x) - 4a cos(x) + 4a cos(x)) +--R * +--R 4 +--R sin(x) +--R + +--R 4 2 2 4 +--R (- 16a cos(x) + 16a cos(x) )csc(x) + 16a cos(x) +--R + +--R 2 +--R - 16a cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 5 4 3 2 +--R (8a cos(x) - 16a cos(x) - 8a cos(x) + 16a cos(x) ) +--R * +--R 2 +--R csc(x) +--R + +--R 5 4 3 2 +--R - 8a cos(x) + 16a cos(x) + 8a cos(x) - 16a cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 6 4 3 +--R - 16a cos(x) + 32a cos(x) + 16a cos(x) +--R + +--R 2 +--R - 16a cos(x) - 16a cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R 6 4 3 2 +--R 16a cos(x) - 32a cos(x) - 16a cos(x) + 16a cos(x) +--R + +--R 16a cos(x) +--R * +--R sin(x) +--R + +--R 7 6 5 4 +--R 4a cos(x) - 16a cos(x) - 20a cos(x) + 32a cos(x) +--R + +--R 3 2 +--R 32a cos(x) - 16a cos(x) - 16a cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R 7 6 5 4 +--R - 4a cos(x) + 16a cos(x) + 20a cos(x) - 32a cos(x) +--R + +--R 3 2 +--R - 32a cos(x) + 16a cos(x) + 16a cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R 3 2 4 +--R (- 4a cos(x) + 4a cos(x))cot(x)csc(x) sin(x) +--R + +--R 4 2 2 3 +--R (16a cos(x) - 16a cos(x) )cot(x)csc(x) sin(x) +--R + +--R 5 4 3 2 +--R (- 8a cos(x) + 16a cos(x) + 8a cos(x) - 16a cos(x) ) +--R * +--R 2 2 +--R cot(x)csc(x) sin(x) +--R + +--R 6 4 3 2 +--R 16a cos(x) - 32a cos(x) - 16a cos(x) + 16a cos(x) +--R + +--R 16a cos(x) +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R + +--R 7 6 5 4 +--R - 4a cos(x) + 16a cos(x) + 20a cos(x) - 32a cos(x) +--R + +--R 3 2 +--R - 32a cos(x) + 16a cos(x) + 16a cos(x) +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R 3 2 3 4 +--R ((4a cos(x) - 4a cos(x))csc(x) - 4a cos(x) + 4a cos(x))sin(x) +--R + +--R 4 2 2 4 +--R (- 16a cos(x) + 16a cos(x) )csc(x) + 16a cos(x) +--R + +--R 2 +--R - 16a cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R 5 4 3 2 2 +--R (8a cos(x) - 16a cos(x) - 8a cos(x) + 16a cos(x) )csc(x) +--R + +--R 5 4 3 2 +--R - 8a cos(x) + 16a cos(x) + 8a cos(x) - 16a cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R 6 4 3 2 +--R - 16a cos(x) + 32a cos(x) + 16a cos(x) - 16a cos(x) +--R + +--R - 16a cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R 6 4 3 2 +--R 16a cos(x) - 32a cos(x) - 16a cos(x) + 16a cos(x) +--R + +--R 16a cos(x) +--R * +--R sin(x) +--R + +--R 7 6 5 4 +--R 4a cos(x) - 16a cos(x) - 20a cos(x) + 32a cos(x) +--R + +--R 3 2 +--R 32a cos(x) - 16a cos(x) - 16a cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R 7 6 5 4 +--R - 4a cos(x) + 16a cos(x) + 20a cos(x) - 32a cos(x) +--R + +--R 3 2 +--R - 32a cos(x) + 16a cos(x) + 16a cos(x) +--R * +--R +---------------+ +--R | 2 2 +--R +-+ |- a cos(x) - a +--R \|a 4|--------------- +--R \| 4cos(x) - 4 +--R * +--R +--------------+ +--R \|- a csc(x) - a +--R atan(-----------------) +--R +-+ +--R \|a +--R + +--R +-+ 3 +-+ 2 +-+ 3 +--R (8\|2 cos(x) - 8\|2 cos(x))csc(x) - 8\|2 cos(x) +--R + +--R +-+ +--R 8\|2 cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R +-+ 3 +-+ 2 +-+ 3 +--R (16\|2 cos(x) - 16\|2 cos(x))csc(x) - 16\|2 cos(x) +--R + +--R +-+ +--R 16\|2 cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 3 +-+ 2 +-+ 3 +--R (8\|2 cos(x) - 8\|2 cos(x))csc(x) - 8\|2 cos(x) +--R + +--R +-+ +--R 8\|2 cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 5 +-+ 3 +-+ 2 +--R (16\|2 cos(x) - 32\|2 cos(x) + 16\|2 cos(x))csc(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 16\|2 cos(x) + 32\|2 cos(x) - 16\|2 cos(x) +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R - 8\|2 cos(x) + 32\|2 cos(x) - 40\|2 cos(x) +--R + +--R +-+ +--R 16\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R 8\|2 cos(x) - 32\|2 cos(x) + 40\|2 cos(x) - 16\|2 cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R +-+ 3 +-+ 2 4 +--R (- 8\|2 cos(x) + 8\|2 cos(x))cot(x)csc(x) sin(x) +--R + +--R +-+ 3 +-+ 2 3 +--R (- 16\|2 cos(x) + 16\|2 cos(x))cot(x)csc(x) sin(x) +--R + +--R +-+ 3 +-+ 2 2 +--R (- 8\|2 cos(x) + 8\|2 cos(x))cot(x)csc(x) sin(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R (- 16\|2 cos(x) + 32\|2 cos(x) - 16\|2 cos(x))cot(x) +--R * +--R 2 +--R csc(x) sin(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +--R 8\|2 cos(x) - 32\|2 cos(x) + 40\|2 cos(x) +--R + +--R +-+ +--R - 16\|2 cos(x) +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R +-+ 3 +-+ 2 +-+ 3 +--R (8\|2 cos(x) - 8\|2 cos(x))csc(x) - 8\|2 cos(x) +--R + +--R +-+ +--R 8\|2 cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R +-+ 3 +-+ 2 +-+ 3 +--R (16\|2 cos(x) - 16\|2 cos(x))csc(x) - 16\|2 cos(x) +--R + +--R +-+ +--R 16\|2 cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 3 +-+ 2 +-+ 3 +--R (8\|2 cos(x) - 8\|2 cos(x))csc(x) - 8\|2 cos(x) +--R + +--R +-+ +--R 8\|2 cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 5 +-+ 3 +-+ 2 +--R (16\|2 cos(x) - 32\|2 cos(x) + 16\|2 cos(x))csc(x) +--R + +--R +-+ 5 +-+ 3 +-+ +--R - 16\|2 cos(x) + 32\|2 cos(x) - 16\|2 cos(x) +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R (- 8\|2 cos(x) + 32\|2 cos(x) - 40\|2 cos(x) + 16\|2 cos(x)) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 7 +-+ 5 +-+ 3 +-+ +--R 8\|2 cos(x) - 32\|2 cos(x) + 40\|2 cos(x) - 16\|2 cos(x) +--R * +--R +---------------+3 +--R | 2 2 +--R +-+ |- a cos(x) - a +--R \|a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R +-+ 3 +-+ 2 +-+ 3 +--R (2a\|2 cos(x) - 2a\|2 cos(x))csc(x) - 2a\|2 cos(x) +--R + +--R +-+ +--R 2a\|2 cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R +-+ 4 +-+ 2 2 +-+ 4 +--R (- 8a\|2 cos(x) + 8a\|2 cos(x) )csc(x) + 8a\|2 cos(x) +--R + +--R +-+ 2 +--R - 8a\|2 cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R 4a\|2 cos(x) - 8a\|2 cos(x) - 4a\|2 cos(x) +--R + +--R +-+ 2 +--R 8a\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R - 4a\|2 cos(x) + 8a\|2 cos(x) + 4a\|2 cos(x) +--R + +--R +-+ 2 +--R - 8a\|2 cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 6 +-+ 4 +-+ 3 +--R - 8a\|2 cos(x) + 16a\|2 cos(x) + 8a\|2 cos(x) +--R + +--R +-+ 2 +-+ +--R - 8a\|2 cos(x) - 8a\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 6 +-+ 4 +-+ 3 +--R 8a\|2 cos(x) - 16a\|2 cos(x) - 8a\|2 cos(x) +--R + +--R +-+ 2 +-+ +--R 8a\|2 cos(x) + 8a\|2 cos(x) +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R 2a\|2 cos(x) - 8a\|2 cos(x) - 10a\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R 16a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 cos(x) +--R + +--R +-+ +--R - 8a\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R - 2a\|2 cos(x) + 8a\|2 cos(x) + 10a\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 16a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 cos(x) +--R + +--R +-+ +--R 8a\|2 cos(x) +--R * +--R 2 +--R tan(x) +--R + +--R +-+ 3 +-+ 2 4 +--R (- 2a\|2 cos(x) + 2a\|2 cos(x))cot(x)csc(x) sin(x) +--R + +--R +-+ 4 +-+ 2 2 3 +--R (8a\|2 cos(x) - 8a\|2 cos(x) )cot(x)csc(x) sin(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R - 4a\|2 cos(x) + 8a\|2 cos(x) + 4a\|2 cos(x) +--R + +--R +-+ 2 +--R - 8a\|2 cos(x) +--R * +--R 2 2 +--R cot(x)csc(x) sin(x) +--R + +--R +-+ 6 +-+ 4 +-+ 3 +--R 8a\|2 cos(x) - 16a\|2 cos(x) - 8a\|2 cos(x) +--R + +--R +-+ 2 +-+ +--R 8a\|2 cos(x) + 8a\|2 cos(x) +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R - 2a\|2 cos(x) + 8a\|2 cos(x) + 10a\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +--R - 16a\|2 cos(x) - 16a\|2 cos(x) + 8a\|2 cos(x) +--R + +--R +-+ +--R 8a\|2 cos(x) +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R +-+ 3 +-+ 2 +-+ 3 +--R (2a\|2 cos(x) - 2a\|2 cos(x))csc(x) - 2a\|2 cos(x) +--R + +--R +-+ +--R 2a\|2 cos(x) +--R * +--R 4 +--R sin(x) +--R + +--R +-+ 4 +-+ 2 2 +-+ 4 +--R (- 8a\|2 cos(x) + 8a\|2 cos(x) )csc(x) + 8a\|2 cos(x) +--R + +--R +-+ 2 +--R - 8a\|2 cos(x) +--R * +--R 3 +--R sin(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +--R 4a\|2 cos(x) - 8a\|2 cos(x) - 4a\|2 cos(x) +--R + +--R +-+ 2 +--R 8a\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 5 +-+ 4 +-+ 3 +-+ 2 +--R - 4a\|2 cos(x) + 8a\|2 cos(x) + 4a\|2 cos(x) - 8a\|2 cos(x) +--R * +--R 2 +--R sin(x) +--R + +--R +-+ 6 +-+ 4 +-+ 3 +--R - 8a\|2 cos(x) + 16a\|2 cos(x) + 8a\|2 cos(x) +--R + +--R +-+ 2 +-+ +--R - 8a\|2 cos(x) - 8a\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 6 +-+ 4 +-+ 3 +--R 8a\|2 cos(x) - 16a\|2 cos(x) - 8a\|2 cos(x) +--R + +--R +-+ 2 +-+ +--R 8a\|2 cos(x) + 8a\|2 cos(x) +--R * +--R sin(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +--R 2a\|2 cos(x) - 8a\|2 cos(x) - 10a\|2 cos(x) +--R + +--R +-+ 4 +-+ 3 +-+ 2 +-+ +--R 16a\|2 cos(x) + 16a\|2 cos(x) - 8a\|2 cos(x) - 8a\|2 cos(x) +--R * +--R 2 +--R csc(x) +--R + +--R +-+ 7 +-+ 6 +-+ 5 +-+ 4 +--R - 2a\|2 cos(x) + 8a\|2 cos(x) + 10a\|2 cos(x) - 16a\|2 cos(x) +--R + +--R +-+ 3 +-+ 2 +-+ +--R - 16a\|2 cos(x) + 8a\|2 cos(x) + 8a\|2 cos(x) +--R * +--R +---------------+ +--R | 2 2 +--R +-+ |- a cos(x) - a +--R \|a 4|--------------- +--R \| 4cos(x) - 4 +--R * +--R +-+ +-+ +--R \|2 \|a +--R atan(-----------------) +--R +--------------+ +--R \|- a csc(x) - a +--R + +--R 3 4 +--R (- 8cos(x) + 8cos(x))cot(x)sin(x) +--R + +--R 3 3 +--R (- 16cos(x) + 16cos(x))cot(x)sin(x) +--R + +--R 3 2 +--R (- 8cos(x) + 8cos(x))cot(x)sin(x) +--R + +--R 5 3 +--R (- 16cos(x) + 32cos(x) - 16cos(x))cot(x)sin(x) +--R + +--R 7 5 3 +--R (8cos(x) - 32cos(x) + 40cos(x) - 16cos(x))cot(x) +--R * +--R +---------------+3 +--R | 2 2 +--R +--------------+ |- a cos(x) - a +--R tan(x)\|- a csc(x) - a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 5 3 2 4 +--R (4cos(x) + 2)sin(x) + (- 4cos(x) - 6cos(x) + 12cos(x) + 8)sin(x) +--R + +--R 4 3 2 3 +--R (8cos(x) - 2cos(x) - 14cos(x) + 6cos(x) + 4)sin(x) +--R + +--R 4 3 2 2 +--R (2cos(x) + 4cos(x) + 12cos(x) - 4cos(x) - 16)sin(x) +--R + +--R 6 5 4 3 2 +--R (8cos(x) - 6cos(x) - 28cos(x) + 6cos(x) + 36cos(x) - 16)sin(x) +--R + +--R 7 6 5 4 3 2 +--R 4cos(x) + 8cos(x) - 12cos(x) - 16cos(x) + 8cos(x) + 8cos(x) +--R * +--R +---------------+2 +--R | 2 2 +--R +--------------+ +--------------+ |- a cos(x) - a +--R \|- a csc(x) - a \|- a csc(x) + a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 3 4 +--R (- 2a cos(x) + 2a cos(x))cot(x)sin(x) +--R + +--R 4 2 3 +--R (8a cos(x) - 8a cos(x) )cot(x)sin(x) +--R + +--R 5 4 3 2 2 +--R (- 4a cos(x) + 8a cos(x) + 4a cos(x) - 8a cos(x) )cot(x)sin(x) +--R + +--R 6 4 3 2 +--R (8a cos(x) - 16a cos(x) - 8a cos(x) + 8a cos(x) + 8a cos(x)) +--R * +--R cot(x)sin(x) +--R + +--R 7 6 5 4 +--R - 2a cos(x) + 8a cos(x) + 10a cos(x) - 16a cos(x) +--R + +--R 3 2 +--R - 16a cos(x) + 8a cos(x) + 8a cos(x) +--R * +--R cot(x) +--R * +--R +---------------+ +--R | 2 2 +--R +--------------+ |- a cos(x) - a +--R tan(x)\|- a csc(x) - a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 5 +--R (- a cos(x) - a)sin(x) +--R + +--R 3 2 4 +--R (2a cos(x) + a cos(x) - 5a cos(x) - 4a)sin(x) +--R + +--R 4 3 2 3 +--R (4a cos(x) + 9a cos(x) + 4a cos(x) - 3a cos(x) - 2a)sin(x) +--R + +--R 4 3 2 2 +--R (3a cos(x) - a cos(x) - 2a cos(x) + 10a cos(x) + 8a)sin(x) +--R + +--R 6 5 4 3 2 +--R 4a cos(x) + 10a cos(x) + 3a cos(x) - 17a cos(x) - 14a cos(x) +--R + +--R 8a cos(x) + 8a +--R * +--R sin(x) +--R + +--R 7 6 5 4 3 +--R - 2a cos(x) + 2a cos(x) + 10a cos(x) + 2a cos(x) - 8a cos(x) +--R + +--R 2 +--R - 4a cos(x) +--R * +--R +--------------+ +--------------+ +--R \|- a csc(x) - a \|- a csc(x) + a +--R / +--R 3 4 3 3 +--R (8cos(x) - 8cos(x))sin(x) + (16cos(x) - 16cos(x))sin(x) +--R + +--R 3 2 +--R (8cos(x) - 8cos(x))sin(x) +--R + +--R 5 3 7 5 +--R (16cos(x) - 32cos(x) + 16cos(x))sin(x) - 8cos(x) + 32cos(x) +--R + +--R 3 +--R - 40cos(x) + 16cos(x) +--R * +--R +---------------+3 +--R | 2 2 +--R +--------------+ +--------------+ |- a cos(x) - a +--R \|- a csc(x) - a \|- a csc(x) + a 4|--------------- +--R \| 4cos(x) - 4 +--R + +--R 3 4 4 2 3 +--R (2a cos(x) - 2a cos(x))sin(x) + (- 8a cos(x) + 8a cos(x) )sin(x) +--R + +--R 5 4 3 2 2 +--R (4a cos(x) - 8a cos(x) - 4a cos(x) + 8a cos(x) )sin(x) +--R + +--R 6 4 3 2 +--R (- 8a cos(x) + 16a cos(x) + 8a cos(x) - 8a cos(x) - 8a cos(x)) +--R * +--R sin(x) +--R + +--R 7 6 5 4 3 +--R 2a cos(x) - 8a cos(x) - 10a cos(x) + 16a cos(x) + 16a cos(x) +--R + +--R 2 +--R - 8a cos(x) - 8a cos(x) +--R * +--R +---------------+ +--R | 2 2 +--R +--------------+ +--------------+ |- a cos(x) - a +--R \|- a csc(x) - a \|- a csc(x) + a 4|--------------- +--R \| 4cos(x) - 4 +--R Type: Expression Integer +--E 398 + +--S 399 of 528 +t0376:= (a+b*csc(c+d*x))^3 +--R +--R +--R 3 3 2 2 2 3 +--R (361) b csc(d x + c) + 3a b csc(d x + c) + 3a b csc(d x + c) + a +--R Type: Expression Integer +--E 399 + +--S 400 of 528 +r0376:= a^3*x-3*a^2*b*atanh(cos(c+d*x))/d-1/2*b^3*atanh(cos(c+d*x))/d-3*a*b^2*cot(c+d*x)/d-1/2*b^3*cot(c+d*x)*csc(c+d*x)/d +--R +--R +--R (362) +--R 3 2 3 +--R (- b - 6a b)atanh(cos(d x + c)) - b cot(d x + c)csc(d x + c) +--R + +--R 2 3 +--R - 6a b cot(d x + c) + 2a d x +--R / +--R 2d +--R Type: Expression Integer +--E 400 + +--S 401 of 528 +a0376:= integrate(t0376,x) +--R +--R +--R (363) +--R 3 2 2 3 2 sin(d x + c) +--R ((b + 6a b)cos(d x + c) - b - 6a b)log(----------------) +--R cos(d x + c) + 1 +--R + +--R 2 3 2 3 +--R 6a b cos(d x + c)sin(d x + c) + 2a d x cos(d x + c) + b cos(d x + c) +--R + +--R 3 +--R - 2a d x +--R / +--R 2 +--R 2d cos(d x + c) - 2d +--R Type: Union(Expression Integer,...) +--E 401 + +--S 402 of 528 +m0376:= a0376-r0376 +--R +--R +--R (364) +--R 3 2 2 3 2 sin(d x + c) +--R ((b + 6a b)cos(d x + c) - b - 6a b)log(----------------) +--R cos(d x + c) + 1 +--R + +--R 3 2 2 3 2 +--R ((b + 6a b)cos(d x + c) - b - 6a b)atanh(cos(d x + c)) +--R + +--R 2 +--R 6a b cos(d x + c)sin(d x + c) +--R + +--R 3 2 3 +--R (b cos(d x + c) - b )cot(d x + c)csc(d x + c) +--R + +--R 2 2 2 3 +--R (6a b cos(d x + c) - 6a b )cot(d x + c) + b cos(d x + c) +--R / +--R 2 +--R 2d cos(d x + c) - 2d +--R Type: Expression Integer +--E 402 + +--S 403 of 528 +d0376:= D(m0376,x) +--R +--R +--R (365) +--R 2 2 2 3 +--R (6a b cos(d x + c) + 6a b )sin(d x + c) +--R + +--R 3 2 3 3 2 +--R (b + 6a b)cos(d x + c) + b cos(d x + c) +--R + +--R 3 2 3 +--R (- b - 6a b)cos(d x + c) + b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 4 3 2 3 2 +--R (- 2b cos(d x + c) + 4b cos(d x + c) - 2b )cot(d x + c) +--R + +--R 3 4 3 2 3 +--R - b cos(d x + c) + 2b cos(d x + c) - b +--R * +--R csc(d x + c) +--R + +--R 2 4 2 2 2 2 +--R (- 6a b cos(d x + c) + 12a b cos(d x + c) - 6a b )cot(d x + c) +--R + +--R 2 2 2 +--R 6a b cos(d x + c) - 6a b +--R * +--R sin(d x + c) +--R + +--R 3 2 5 3 2 3 +--R (b + 6a b)cos(d x + c) + (- 2b - 12a b)cos(d x + c) +--R + +--R 3 2 +--R (b + 6a b)cos(d x + c) +--R / +--R 4 2 +--R (2cos(d x + c) - 4cos(d x + c) + 2)sin(d x + c) +--R Type: Expression Integer +--E 403 + +--S 404 of 528 +t0377:= (a+b*csc(c+d*x))^2 +--R +--R +--R 2 2 2 +--R (366) b csc(d x + c) + 2a b csc(d x + c) + a +--R Type: Expression Integer +--E 404 + +--S 405 of 528 +r0377:= a^2*x-2*a*b*atanh(cos(c+d*x))/d-b^2*cot(c+d*x)/d +--R +--R +--R 2 2 +--R - 2a b atanh(cos(d x + c)) - b cot(d x + c) + a d x +--R (367) --------------------------------------------------- +--R d +--R Type: Expression Integer +--E 405 + +--S 406 of 528 +a0377:= integrate(t0377,x) +--R +--R +--R (368) +--R sin(d x + c) 2 2 +--R 2a b sin(d x + c)log(----------------) + a d x sin(d x + c) - b cos(d x + c) +--R cos(d x + c) + 1 +--R ---------------------------------------------------------------------------- +--R d sin(d x + c) +--R Type: Union(Expression Integer,...) +--E 406 + +--S 407 of 528 +m0377:= a0377-r0377 +--R +--R +--R (369) +--R sin(d x + c) +--R 2a b sin(d x + c)log(----------------) +--R cos(d x + c) + 1 +--R + +--R 2 +--R 2a b sin(d x + c)atanh(cos(d x + c)) + b cot(d x + c)sin(d x + c) +--R + +--R 2 +--R - b cos(d x + c) +--R / +--R d sin(d x + c) +--R Type: Expression Integer +--E 407 + +--S 408 of 528 +d0377:= D(m0377,x) +--R +--R +--R (370) +--R 3 +--R 2a b cos(d x + c)sin(d x + c) +--R + +--R 2 2 2 2 2 +--R (- b cos(d x + c) + b )cot(d x + c) sin(d x + c) +--R + +--R 3 2 4 +--R (2a b cos(d x + c) - 2a b cos(d x + c))sin(d x + c) + b cos(d x + c) +--R + +--R 2 2 +--R - b cos(d x + c) +--R / +--R 2 2 +--R (cos(d x + c) - 1)sin(d x + c) +--R Type: Expression Integer +--E 408 + +--S 409 of 528 +t0378:= 1/(3+5*csc(c+d*x)) +--R +--R +--R 1 +--R (371) ----------------- +--R 5csc(d x + c) + 3 +--R Type: Expression Integer +--E 409 + +--S 410 of 528 +r0378:= 1/3*x-5/6*atan(3/4+5/4*tan(1/2*c+1/2*d*x))/d +--R +--R +--R d x + c +--R 5tan(-------) + 3 +--R 2 +--R - 5atan(-----------------) + 2d x +--R 4 +--R (372) --------------------------------- +--R 6d +--R Type: Expression Integer +--E 410 + +--S 411 of 528 +a0378:= integrate(t0378,x) +--R +--R +--R 5sin(d x + c) + 3cos(d x + c) + 3 +--R - 5atan(---------------------------------) + 2d x +--R 4cos(d x + c) + 4 +--R (373) ------------------------------------------------- +--R 6d +--R Type: Union(Expression Integer,...) +--E 411 + +--S 412 of 528 +m0378:= a0378-r0378 +--R +--R +--R d x + c +--R 5tan(-------) + 3 +--R 2 5sin(d x + c) + 3cos(d x + c) + 3 +--R 5atan(-----------------) - 5atan(---------------------------------) +--R 4 4cos(d x + c) + 4 +--R (374) ------------------------------------------------------------------- +--R 6d +--R Type: Expression Integer +--E 412 + +--S 413 of 528 +d0378:= D(m0378,x) +--R +--R +--R (375) +--R 2 +--R - 25sin(d x + c) + (30cos(d x + c) + 30)sin(d x + c) +--R + +--R 2 +--R - 25cos(d x + c) + 25 +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 2 2 d x + c +--R (- 60sin(d x + c) - 60cos(d x + c) - 60cos(d x + c))tan(-------) +--R 2 +--R + +--R 2 2 +--R - 25sin(d x + c) + (30cos(d x + c) + 30)sin(d x + c) - 25cos(d x + c) +--R + +--R 25 +--R / +--R 2 2 +--R 75sin(d x + c) + (90cos(d x + c) + 90)sin(d x + c) + 75cos(d x + c) +--R + +--R 150cos(d x + c) + 75 +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 2 +--R 90sin(d x + c) + (108cos(d x + c) + 108)sin(d x + c) +--R + +--R 2 +--R 90cos(d x + c) + 180cos(d x + c) + 90 +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 2 2 +--R 75sin(d x + c) + (90cos(d x + c) + 90)sin(d x + c) + 75cos(d x + c) +--R + +--R 150cos(d x + c) + 75 +--R Type: Expression Integer +--E 413 + +--S 414 of 528 +t0379:= 1/(5+3*csc(c+d*x)) +--R +--R +--R 1 +--R (376) ----------------- +--R 3csc(d x + c) + 5 +--R Type: Expression Integer +--E 414 + +--S 415 of 528 +r0379:= 1/5*x+3/10*atanh(5/4+3/4*tan(1/2*c+1/2*d*x))/d +--R +--R +--R d x + c +--R 3tan(-------) + 5 +--R 2 +--R 3atanh(-----------------) + 2d x +--R 4 +--R (377) -------------------------------- +--R 10d +--R Type: Expression Integer +--E 415 + +--S 416 of 528 +a0379:= integrate(t0379,x) +--R +--R +--R (378) +--R 3sin(d x + c) + cos(d x + c) + 1 +--R - 3log(--------------------------------) +--R cos(d x + c) + 1 +--R + +--R sin(d x + c) + 3cos(d x + c) + 3 +--R 3log(--------------------------------) + 4d x +--R cos(d x + c) + 1 +--R / +--R 20d +--R Type: Union(Expression Integer,...) +--E 416 + +--S 417 of 528 +m0379:= a0379-r0379 +--R +--R +--R (379) +--R 3sin(d x + c) + cos(d x + c) + 1 +--R - 3log(--------------------------------) +--R cos(d x + c) + 1 +--R + +--R d x + c +--R 3tan(-------) + 5 +--R sin(d x + c) + 3cos(d x + c) + 3 2 +--R 3log(--------------------------------) - 6atanh(-----------------) +--R cos(d x + c) + 1 4 +--R / +--R 20d +--R Type: Expression Integer +--E 417 + +--S 418 of 528 +d0379:= D(m0379,x) +--R +--R +--R (380) +--R 2 2 +--R - 9sin(d x + c) + (30cos(d x + c) + 30)sin(d x + c) - 9cos(d x + c) +--R + +--R 9 +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 2 2 d x + c +--R (- 60sin(d x + c) - 60cos(d x + c) - 60cos(d x + c))tan(-------) +--R 2 +--R + +--R 2 2 +--R - 9sin(d x + c) + (30cos(d x + c) + 30)sin(d x + c) - 9cos(d x + c) + 9 +--R / +--R 2 +--R 45sin(d x + c) + (150cos(d x + c) + 150)sin(d x + c) +--R + +--R 2 +--R 45cos(d x + c) + 90cos(d x + c) + 45 +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 2 +--R 150sin(d x + c) + (500cos(d x + c) + 500)sin(d x + c) +--R + +--R 2 +--R 150cos(d x + c) + 300cos(d x + c) + 150 +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 2 2 +--R 45sin(d x + c) + (150cos(d x + c) + 150)sin(d x + c) + 45cos(d x + c) +--R + +--R 90cos(d x + c) + 45 +--R Type: Expression Integer +--E 418 + +--S 419 of 528 +t0380:= 1/(a+b*csc(c+d*x)) +--R +--R +--R 1 +--R (381) ------------------ +--R b csc(d x + c) + a +--R Type: Expression Integer +--E 419 + +--S 420 of 528 +r0380:= x/a+2*b*atanh((a+b*tan(1/2*c+1/2*d*x))/(a^2-b^2)^(1/2))/a/(a^2-b^2)^(1/2)/d +--R +--R +--R d x + c +--R b tan(-------) + a +---------+ +--R 2 | 2 2 +--R 2b atanh(------------------) + d x\|- b + a +--R +---------+ +--R | 2 2 +--R \|- b + a +--R (382) ---------------------------------------------- +--R +---------+ +--R | 2 2 +--R a d\|- b + a +--R Type: Expression Integer +--E 420 + +--S 421 of 528 +a0380:= integrate(t0380,x) +--R +--R +--R (383) +--R [ +--R b +--R * +--R log +--R +---------+ +--R 2 2 2 | 2 2 +--R (a b sin(d x + c) + (- b + a )cos(d x + c) + a )\|- b + a +--R + +--R 3 2 2 3 2 3 +--R (- b + a b)sin(d x + c) + (- a b + a )cos(d x + c) - a b + a +--R / +--R a sin(d x + c) + b +--R + +--R +---------+ +--R | 2 2 +--R d x\|- b + a +--R / +--R +---------+ +--R | 2 2 +--R a d\|- b + a +--R , +--R +-------+ +--R | 2 2 +-------+ +--R (b sin(d x + c) + a cos(d x + c) + a)\|b - a | 2 2 +--R - 2b atan(-----------------------------------------------) + d x\|b - a +--R 2 2 2 2 +--R (b - a )cos(d x + c) + b - a +--R --------------------------------------------------------------------------] +--R +-------+ +--R | 2 2 +--R a d\|b - a +--R Type: Union(List Expression Integer,...) +--E 421 + +--S 422 of 528 +m0380a:= a0380.1-r0380 +--R +--R +--R (384) +--R b +--R * +--R log +--R +---------+ +--R 2 2 2 | 2 2 +--R (a b sin(d x + c) + (- b + a )cos(d x + c) + a )\|- b + a +--R + +--R 3 2 2 3 2 3 +--R (- b + a b)sin(d x + c) + (- a b + a )cos(d x + c) - a b + a +--R / +--R a sin(d x + c) + b +--R + +--R d x + c +--R b tan(-------) + a +--R 2 +--R - 2b atanh(------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +--R | 2 2 +--R a d\|- b + a +--R Type: Expression Integer +--E 422 + +--S 423 of 528 +d0380a:= D(m0380a,x) +--R +--R +--R (385) +--R 3 2 2 2 2 +--R ((- b + a b)cos(d x + c) + a b)sin(d x + c) - a b cos(d x + c) +--R + +--R 2 +--R a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 2 2 2 2 2 +--R - 2a b sin(d x + c) - 2a b sin(d x + c) - 2a b cos(d x + c) +--R + +--R 3 2 +--R (2b - 2a b)cos(d x + c) +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 3 2 2 2 2 2 +--R ((- b + a b)cos(d x + c) + a b)sin(d x + c) - a b cos(d x + c) + a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 3 3 3 +--R ((- a b + a b)cos(d x + c) - a b + a b)sin(d x + c) +--R + +--R 4 2 2 2 4 2 2 +--R (b - a b )cos(d x + c) - b + a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 3 3 2 4 2 2 +--R (2a b - 2a b)sin(d x + c) + (2b - 2a b )sin(d x + c) +--R + +--R 3 3 2 3 3 +--R (2a b - 2a b)cos(d x + c) + (2a b - 2a b)cos(d x + c) +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 3 3 3 3 +--R ((- a b + a b)cos(d x + c) - a b + a b)sin(d x + c) +--R + +--R 4 2 2 2 4 2 2 +--R (b - a b )cos(d x + c) - b + a b +--R / +--R 2 2 2 +--R a b sin(d x + c) +--R + +--R 3 3 3 3 +--R ((- a b + a b)cos(d x + c) + a b + a b)sin(d x + c) +--R + +--R 4 2 2 2 2 +--R (- b + a b )cos(d x + c) + a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 3 2 +--R 2a b sin(d x + c) +--R + +--R 2 2 4 2 2 4 +--R ((- 2a b + 2a )cos(d x + c) + 2a b + 2a )sin(d x + c) +--R + +--R 3 3 3 +--R (- 2a b + 2a b)cos(d x + c) + 2a b +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 2 2 2 +--R a b sin(d x + c) +--R + +--R 3 3 3 3 +--R ((- a b + a b)cos(d x + c) + a b + a b)sin(d x + c) +--R + +--R 4 2 2 2 2 +--R (- b + a b )cos(d x + c) + a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 4 3 2 2 +--R (- a b + a b )sin(d x + c) +--R + +--R 2 3 4 5 4 +--R ((- a b + a b)cos(d x + c) - b + a b)sin(d x + c) +--R + +--R 4 3 2 4 3 2 +--R (- a b + a b )cos(d x + c) - a b + a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 2 3 4 2 +--R (- 2a b + 2a b)sin(d x + c) +--R + +--R 3 2 5 4 5 +--R ((- 2a b + 2a )cos(d x + c) - 2a b + 2a )sin(d x + c) +--R + +--R 2 3 4 2 3 4 +--R (- 2a b + 2a b)cos(d x + c) - 2a b + 2a b +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 4 3 2 2 +--R (- a b + a b )sin(d x + c) +--R + +--R 2 3 4 5 4 +--R ((- a b + a b)cos(d x + c) - b + a b)sin(d x + c) +--R + +--R 4 3 2 4 3 2 +--R (- a b + a b )cos(d x + c) - a b + a b +--R Type: Expression Integer +--E 423 + +--S 424 of 528 +m0380b:= a0380.2-r0380 +--R +--R +--R (386) +--R d x + c +--R +-------+ b tan(-------) + a +--R | 2 2 2 +--R - 2b\|b - a atanh(------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +-------+ +--R +---------+ | 2 2 +--R | 2 2 (b sin(d x + c) + a cos(d x + c) + a)\|b - a +--R - 2b\|- b + a atan(-----------------------------------------------) +--R 2 2 2 2 +--R (b - a )cos(d x + c) + b - a +--R / +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R a d\|- b + a \|b - a +--R Type: Expression Integer +--E 424 + +--S 425 of 528 +d0380b:= D(m0380b,x) +--R +--R +--R (387) +--R 2 2 +--R - b sin(d x + c) + (2a b cos(d x + c) + 2a b)sin(d x + c) +--R + +--R 2 2 2 +--R - b cos(d x + c) + b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 2 2 +--R (- 4a b sin(d x + c) - 4a b cos(d x + c) - 4a b cos(d x + c)) +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 2 2 +--R - b sin(d x + c) + (2a b cos(d x + c) + 2a b)sin(d x + c) +--R + +--R 2 2 2 +--R - b cos(d x + c) + b +--R / +--R 2 2 2 2 +--R a b sin(d x + c) + (2a b cos(d x + c) + 2a b)sin(d x + c) +--R + +--R 2 2 2 2 +--R a b cos(d x + c) + 2a b cos(d x + c) + a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 2 2 3 3 +--R 2a b sin(d x + c) + (4a cos(d x + c) + 4a )sin(d x + c) +--R + +--R 2 2 2 2 +--R 2a b cos(d x + c) + 4a b cos(d x + c) + 2a b +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 2 2 2 2 +--R a b sin(d x + c) + (2a b cos(d x + c) + 2a b)sin(d x + c) +--R + +--R 2 2 2 2 +--R a b cos(d x + c) + 2a b cos(d x + c) + a b +--R Type: Expression Integer +--E 425 + +--S 426 of 528 +t0381:= 1/(a+b*csc(c+d*x))^2 +--R +--R +--R 1 +--R (388) ---------------------------------------- +--R 2 2 2 +--R b csc(d x + c) + 2a b csc(d x + c) + a +--R Type: Expression Integer +--E 426 + +--S 427 of 528 +r0381:= x/a^2+2*b^3*atanh((a+b*tan(1/2*c+1/2*d*x))/(a^2-b^2)^(1/2))/a^2/(a^2-b^2)^(3/2)/d+4*b*atanh((a+b*tan(1/2*c+1/2*d*x))/(a^2-b^2)^(1/2))/a^2/(a^2-b^2)^(1/2)/d-b^2*cos(c+d*x)/a/(a^2-b^2)/d/(b+a*sin(c+d*x)) +--R +--R +--R (389) +--R d x + c +--R b tan(-------) + a +--R 3 3 4 2 2 2 +--R ((2a b - 4a b)sin(d x + c) + 2b - 4a b )atanh(------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 2 3 2 3 2 +--R ((a b - a )d x sin(d x + c) + a b cos(d x + c) + (b - a b)d x) +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +--R 3 2 5 2 3 4 | 2 2 +--R ((a b - a )d sin(d x + c) + (a b - a b)d)\|- b + a +--R Type: Expression Integer +--E 427 + +--S 428 of 528 +a0381:= integrate(t0381,x) +--R +--R +--R (390) +--R [ +--R 3 3 4 2 2 +--R ((a b - 2a b)sin(d x + c) + b - 2a b ) +--R * +--R log +--R +---------+ +--R 2 2 2 | 2 2 +--R (a b sin(d x + c) + (- b + a )cos(d x + c) + a )\|- b + a +--R + +--R 3 2 2 3 2 3 +--R (- b + a b)sin(d x + c) + (- a b + a )cos(d x + c) - a b + a +--R / +--R a sin(d x + c) + b +--R + +--R 2 3 2 2 +--R ((a b - a )d x + a b)sin(d x + c) + a b cos(d x + c) +--R + +--R 3 2 2 +--R (b - a b)d x + a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +--R 3 2 5 2 3 4 | 2 2 +--R ((a b - a )d sin(d x + c) + (a b - a b)d)\|- b + a +--R , +--R +--R 3 3 4 2 2 +--R ((- 2a b + 4a b)sin(d x + c) - 2b + 4a b ) +--R * +--R +-------+ +--R | 2 2 +--R (b sin(d x + c) + a cos(d x + c) + a)\|b - a +--R atan(-----------------------------------------------) +--R 2 2 2 2 +--R (b - a )cos(d x + c) + b - a +--R + +--R 2 3 2 2 +--R ((a b - a )d x + a b)sin(d x + c) + a b cos(d x + c) +--R + +--R 3 2 2 +--R (b - a b)d x + a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R / +--R +-------+ +--R 3 2 5 2 3 4 | 2 2 +--R ((a b - a )d sin(d x + c) + (a b - a b)d)\|b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 428 + +--S 429 of 528 +m0381a:= a0381.1-r0381 +--R +--R +--R (391) +--R 3 2 +--R (b - 2a b) +--R * +--R log +--R +---------+ +--R 2 2 2 | 2 2 +--R (a b sin(d x + c) + (- b + a )cos(d x + c) + a )\|- b + a +--R + +--R 3 2 2 3 2 3 +--R (- b + a b)sin(d x + c) + (- a b + a )cos(d x + c) - a b + a +--R / +--R a sin(d x + c) + b +--R + +--R d x + c +--R b tan(-------) + a +---------+ +--R 3 2 2 | 2 2 +--R (- 2b + 4a b)atanh(------------------) + a b\|- b + a +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R +---------+ +--R 2 2 4 | 2 2 +--R (a b - a )d\|- b + a +--R Type: Expression Integer +--E 429 + +--S 430 of 528 +d0381a:= D(m0381a,x) +--R +--R +--R (392) +--R 5 2 3 4 2 3 4 +--R ((- b + 3a b - 2a b)cos(d x + c) + a b - 2a b)sin(d x + c) +--R + +--R 4 3 2 2 4 3 2 +--R (- a b + 2a b )cos(d x + c) + a b - 2a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 2 3 4 2 4 3 2 +--R (- 2a b + 4a b)sin(d x + c) + (- 2a b + 4a b )sin(d x + c) +--R + +--R 2 3 4 2 5 2 3 4 +--R (- 2a b + 4a b)cos(d x + c) + (2b - 6a b + 4a b)cos(d x + c) +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 5 2 3 4 2 3 4 +--R ((- b + 3a b - 2a b)cos(d x + c) + a b - 2a b)sin(d x + c) +--R + +--R 4 3 2 2 4 3 2 +--R (- a b + 2a b )cos(d x + c) + a b - 2a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 5 3 3 5 5 3 3 5 +--R ((- a b + 3a b - 2a b)cos(d x + c) - a b + 3a b - 2a b) +--R * +--R sin(d x + c) +--R + +--R 6 2 4 4 2 2 6 2 4 4 2 +--R (b - 3a b + 2a b )cos(d x + c) - b + 3a b - 2a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 5 3 3 5 2 +--R (2a b - 6a b + 4a b)sin(d x + c) +--R + +--R 6 2 4 4 2 +--R (2b - 6a b + 4a b )sin(d x + c) +--R + +--R 5 3 3 5 2 +--R (2a b - 6a b + 4a b)cos(d x + c) +--R + +--R 5 3 3 5 +--R (2a b - 6a b + 4a b)cos(d x + c) +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 5 3 3 5 5 3 3 5 +--R ((- a b + 3a b - 2a b)cos(d x + c) - a b + 3a b - 2a b)sin(d x + c) +--R + +--R 6 2 4 4 2 2 6 2 4 4 2 +--R (b - 3a b + 2a b )cos(d x + c) - b + 3a b - 2a b +--R / +--R 3 4 5 2 2 +--R (a b - a b )sin(d x + c) +--R + +--R 2 5 4 3 6 2 5 6 +--R ((- a b + 2a b - a b)cos(d x + c) + a b - a b)sin(d x + c) +--R + +--R 6 3 4 5 2 3 4 5 2 +--R (- a b + 2a b - a b )cos(d x + c) + a b - a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 4 3 6 2 +--R (2a b - 2a b)sin(d x + c) +--R + +--R 3 4 5 2 7 3 4 7 +--R ((- 2a b + 4a b - 2a )cos(d x + c) + 2a b - 2a )sin(d x + c) +--R + +--R 2 5 4 3 6 4 3 6 +--R (- 2a b + 4a b - 2a b)cos(d x + c) + 2a b - 2a b +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 3 4 5 2 2 +--R (a b - a b )sin(d x + c) +--R + +--R 2 5 4 3 6 2 5 6 +--R ((- a b + 2a b - a b)cos(d x + c) + a b - a b)sin(d x + c) +--R + +--R 6 3 4 5 2 3 4 5 2 +--R (- a b + 2a b - a b )cos(d x + c) + a b - a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 2 6 4 4 6 2 2 +--R (- a b + 2a b - a b )sin(d x + c) +--R + +--R 3 5 5 3 7 7 3 5 5 3 7 +--R ((- a b + 2a b - a b)cos(d x + c) - a b + a b + a b - a b) +--R * +--R sin(d x + c) +--R + +--R 2 6 4 4 6 2 2 6 4 4 6 2 +--R (- a b + 2a b - a b )cos(d x + c) - a b + 2a b - a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 3 5 5 3 7 2 +--R (- 2a b + 4a b - 2a b)sin(d x + c) +--R + +--R 4 4 6 2 8 2 6 4 4 6 2 8 +--R ((- 2a b + 4a b - 2a )cos(d x + c) - 2a b + 2a b + 2a b - 2a ) +--R * +--R sin(d x + c) +--R + +--R 3 5 5 3 7 3 5 5 3 7 +--R (- 2a b + 4a b - 2a b)cos(d x + c) - 2a b + 4a b - 2a b +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 2 6 4 4 6 2 2 +--R (- a b + 2a b - a b )sin(d x + c) +--R + +--R 3 5 5 3 7 7 3 5 5 3 7 +--R ((- a b + 2a b - a b)cos(d x + c) - a b + a b + a b - a b) +--R * +--R sin(d x + c) +--R + +--R 2 6 4 4 6 2 2 6 4 4 6 2 +--R (- a b + 2a b - a b )cos(d x + c) - a b + 2a b - a b +--R Type: Expression Integer +--E 430 + +--S 431 of 528 +m0381b:= a0381.2-r0381 +--R +--R +--R (393) +--R d x + c +--R +-------+ b tan(-------) + a +--R 3 2 | 2 2 2 +--R (- 2b + 4a b)\|b - a atanh(------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R +---------+ +--R 3 2 | 2 2 +--R (- 2b + 4a b)\|- b + a +--R * +--R +-------+ +--R | 2 2 +--R (b sin(d x + c) + a cos(d x + c) + a)\|b - a +--R atan(-----------------------------------------------) +--R 2 2 2 2 +--R (b - a )cos(d x + c) + b - a +--R + +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R a b\|- b + a \|b - a +--R / +--R +---------+ +-------+ +--R 2 2 4 | 2 2 | 2 2 +--R (a b - a )d\|- b + a \|b - a +--R Type: Expression Integer +--E 431 + +--S 432 of 528 +d0381b:= D(m0381b,x) +--R +--R +--R (394) +--R 4 2 2 2 +--R (- b + 2a b )sin(d x + c) +--R + +--R 3 3 3 3 +--R ((2a b - 4a b)cos(d x + c) + 2a b - 4a b)sin(d x + c) +--R + +--R 4 2 2 2 4 2 2 +--R (- b + 2a b )cos(d x + c) + b - 2a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 3 3 2 3 3 2 +--R (- 4a b + 8a b)sin(d x + c) + (- 4a b + 8a b)cos(d x + c) +--R + +--R 3 3 +--R (- 4a b + 8a b)cos(d x + c) +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 4 2 2 2 +--R (- b + 2a b )sin(d x + c) +--R + +--R 3 3 3 3 +--R ((2a b - 4a b)cos(d x + c) + 2a b - 4a b)sin(d x + c) +--R + +--R 4 2 2 2 4 2 2 +--R (- b + 2a b )cos(d x + c) + b - 2a b +--R / +--R 2 4 4 2 2 +--R (a b - a b )sin(d x + c) +--R + +--R 3 3 5 3 3 5 +--R ((2a b - 2a b)cos(d x + c) + 2a b - 2a b)sin(d x + c) +--R + +--R 2 4 4 2 2 2 4 4 2 2 4 4 2 +--R (a b - a b )cos(d x + c) + (2a b - 2a b )cos(d x + c) + a b - a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 3 3 5 2 +--R (2a b - 2a b)sin(d x + c) +--R + +--R 4 2 6 4 2 6 +--R ((4a b - 4a )cos(d x + c) + 4a b - 4a )sin(d x + c) +--R + +--R 3 3 5 2 3 3 5 3 3 5 +--R (2a b - 2a b)cos(d x + c) + (4a b - 4a b)cos(d x + c) + 2a b - 2a b +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 2 4 4 2 2 +--R (a b - a b )sin(d x + c) +--R + +--R 3 3 5 3 3 5 +--R ((2a b - 2a b)cos(d x + c) + 2a b - 2a b)sin(d x + c) +--R + +--R 2 4 4 2 2 2 4 4 2 2 4 4 2 +--R (a b - a b )cos(d x + c) + (2a b - 2a b )cos(d x + c) + a b - a b +--R Type: Expression Integer +--E 432 + +--S 433 of 528 +t0382:= 1/(a+b*csc(c+d*x))^3 +--R +--R +--R 1 +--R (395) ------------------------------------------------------------- +--R 3 3 2 2 2 3 +--R b csc(d x + c) + 3a b csc(d x + c) + 3a b csc(d x + c) + a +--R Type: Expression Integer +--E 433 + +--S 434 of 528 +r0382:= x/a^3+6*b^3*atanh((a+b*tan(1/2*c+1/2*d*x))/(a^2-b^2)^(1/2))/a^3/(a^2-b^2)^(3/2)/d+6*b*atanh((a+b*tan(1/2*c+1/2*d*x))/(a^2-b^2)^(1/2))/a^3/(a^2-b^2)^(1/2)/d+b^3*(a^2+2*b^2)*atanh((a+b*tan(1/2*c+1/2*d*x))/(a^2-b^2)^(1/2))/a^3/(a^2-b^2)^(5/2)/d+1/2*b^3*cos(c+d*x)/a^2/(a^2-b^2)/d/(b+a*sin(c+d*x))^2-3/2*b^4*cos(c+d*x)/a^2/(a^2-b^2)^2/d/(b+a*sin(c+d*x))-3*b^2*cos(c+d*x)/a^2/(a^2-b^2)/d/(b+a*sin(c+d*x)) +--R +--R +--R (396) +--R 2 5 4 3 6 2 +--R (4a b - 10a b + 12a b)sin(d x + c) +--R + +--R 6 3 4 5 2 7 2 5 4 3 +--R (8a b - 20a b + 24a b )sin(d x + c) + 4b - 10a b + 12a b +--R * +--R d x + c +--R b tan(-------) + a +--R 2 +--R atanh(------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 2 4 4 2 6 2 +--R (2a b - 4a b + 2a )d x sin(d x + c) +--R + +--R 2 4 4 2 5 3 3 5 +--R ((3a b - 6a b )cos(d x + c) + (4a b - 8a b + 4a b)d x)sin(d x + c) +--R + +--R 5 3 3 6 2 4 4 2 +--R (2a b - 5a b )cos(d x + c) + (2b - 4a b + 2a b )d x +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 5 4 7 2 9 2 +--R (2a b - 4a b + 2a )d sin(d x + c) +--R + +--R 4 5 6 3 8 3 6 5 4 7 2 +--R (4a b - 8a b + 4a b)d sin(d x + c) + (2a b - 4a b + 2a b )d +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R Type: Expression Integer +--E 434 + +--S 435 of 528 +a0382:= integrate(t0382,x) +--R +--R +--R (397) +--R [ +--R 6 3 4 5 2 +--R (4a b - 10a b + 12a b )sin(d x + c) +--R + +--R 2 5 4 3 6 2 7 2 5 4 3 6 +--R (- 2a b + 5a b - 6a b)cos(d x + c) + 2b - 3a b + a b + 6a b +--R * +--R log +--R +---------+ +--R 2 2 2 | 2 2 +--R (a b sin(d x + c) + (- b + a )cos(d x + c) + a )\|- b + a +--R + +--R 3 2 2 3 2 3 +--R (- b + a b)sin(d x + c) + (- a b + a )cos(d x + c) - a b + a +--R / +--R a sin(d x + c) + b +--R + +--R 2 4 4 2 5 3 3 5 2 4 +--R (3a b - 6a b )cos(d x + c) + (4a b - 8a b + 4a b)d x + 4a b +--R + +--R 4 2 +--R - 10a b +--R * +--R sin(d x + c) +--R + +--R 2 4 4 2 6 3 3 5 2 +--R ((- 2a b + 4a b - 2a )d x - 2a b + 5a b)cos(d x + c) +--R + +--R 5 3 3 6 2 4 4 2 6 +--R (2a b - 5a b )cos(d x + c) + (2b - 2a b - 2a b + 2a )d x +--R + +--R 5 3 3 5 +--R 2a b - 3a b - 5a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 4 5 6 3 8 +--R (4a b - 8a b + 4a b)d sin(d x + c) +--R + +--R 5 4 7 2 9 2 3 6 5 4 7 2 9 +--R (- 2a b + 4a b - 2a )d cos(d x + c) + (2a b - 2a b - 2a b + 2a )d +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R , +--R +--R 6 3 4 5 2 +--R (- 8a b + 20a b - 24a b )sin(d x + c) +--R + +--R 2 5 4 3 6 2 7 2 5 4 3 6 +--R (4a b - 10a b + 12a b)cos(d x + c) - 4b + 6a b - 2a b - 12a b +--R * +--R +-------+ +--R | 2 2 +--R (b sin(d x + c) + a cos(d x + c) + a)\|b - a +--R atan(-----------------------------------------------) +--R 2 2 2 2 +--R (b - a )cos(d x + c) + b - a +--R + +--R 2 4 4 2 5 3 3 5 2 4 +--R (3a b - 6a b )cos(d x + c) + (4a b - 8a b + 4a b)d x + 4a b +--R + +--R 4 2 +--R - 10a b +--R * +--R sin(d x + c) +--R + +--R 2 4 4 2 6 3 3 5 2 +--R ((- 2a b + 4a b - 2a )d x - 2a b + 5a b)cos(d x + c) +--R + +--R 5 3 3 6 2 4 4 2 6 +--R (2a b - 5a b )cos(d x + c) + (2b - 2a b - 2a b + 2a )d x +--R + +--R 5 3 3 5 +--R 2a b - 3a b - 5a b +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R / +--R 4 5 6 3 8 +--R (4a b - 8a b + 4a b)d sin(d x + c) +--R + +--R 5 4 7 2 9 2 3 6 5 4 7 2 9 +--R (- 2a b + 4a b - 2a )d cos(d x + c) + (2a b - 2a b - 2a b + 2a )d +--R * +--R +-------+ +--R | 2 2 +--R \|b - a +--R ] +--R Type: Union(List Expression Integer,...) +--E 435 + +--S 436 of 528 +m0382a:= a0382.1-r0382 +--R +--R +--R (398) +--R 3 6 5 4 7 2 3 +--R (4a b - 10a b + 12a b )sin(d x + c) +--R + +--R 4 5 6 3 8 2 2 7 4 5 6 3 +--R (- 2a b + 5a b - 6a b)cos(d x + c) + 10a b - 23a b + 25a b +--R + +--R 8 +--R 6a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 6 5 4 7 2 2 8 3 6 +--R (- 4a b + 10a b - 12a b )cos(d x + c) + 8a b - 16a b +--R + +--R 5 4 7 2 +--R 14a b + 12a b +--R * +--R sin(d x + c) +--R + +--R 2 7 4 5 6 3 2 9 2 7 4 5 6 3 +--R (- 2a b + 5a b - 6a b )cos(d x + c) + 2b - 3a b + a b + 6a b +--R * +--R log +--R +---------+ +--R 2 2 2 | 2 2 +--R (a b sin(d x + c) + (- b + a )cos(d x + c) + a )\|- b + a +--R + +--R 3 2 2 3 2 3 +--R (- b + a b)sin(d x + c) + (- a b + a )cos(d x + c) - a b + a +--R / +--R a sin(d x + c) + b +--R + +--R 3 6 5 4 7 2 3 +--R (- 8a b + 20a b - 24a b )sin(d x + c) +--R + +--R 4 5 6 3 8 2 2 7 4 5 6 3 +--R (4a b - 10a b + 12a b)cos(d x + c) - 20a b + 46a b - 50a b +--R + +--R 8 +--R - 12a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 6 5 4 7 2 2 8 3 6 5 4 +--R (8a b - 20a b + 24a b )cos(d x + c) - 16a b + 32a b - 28a b +--R + +--R 7 2 +--R - 24a b +--R * +--R sin(d x + c) +--R + +--R 2 7 4 5 6 3 2 9 2 7 4 5 6 3 +--R (4a b - 10a b + 12a b )cos(d x + c) - 4b + 6a b - 2a b - 12a b +--R * +--R d x + c +--R b tan(-------) + a +--R 2 +--R atanh(------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 4 4 6 2 4 4 6 2 3 +--R ((3a b - 6a b )cos(d x + c) + 4a b - 10a b )sin(d x + c) +--R + +--R 5 3 7 2 3 5 5 3 +--R (- 2a b + 5a b)cos(d x + c) + (2a b - 5a b )cos(d x + c) +--R + +--R 3 5 5 3 7 +--R 10a b - 23a b - 5a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 4 4 6 2 3 4 4 6 2 2 +--R (3a b - 6a b )cos(d x + c) + (- 4a b + 10a b )cos(d x + c) +--R + +--R 4 4 6 2 2 6 4 4 6 2 +--R (- 3a b + 6a b )cos(d x + c) + 8a b - 16a b - 10a b +--R * +--R sin(d x + c) +--R + +--R 3 5 5 3 3 3 5 5 3 2 +--R (2a b - 5a b )cos(d x + c) + (- 2a b + 5a b )cos(d x + c) +--R + +--R 3 5 5 3 7 3 5 5 3 +--R (- 2a b + 5a b )cos(d x + c) + 2a b - 3a b - 5a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R / +--R 6 5 8 3 10 3 +--R (4a b - 8a b + 4a b)d sin(d x + c) +--R + +--R 7 4 9 2 11 2 +--R (- 2a b + 4a b - 2a )d cos(d x + c) +--R + +--R 5 6 7 4 9 2 11 +--R (10a b - 18a b + 6a b + 2a )d +--R * +--R 2 +--R sin(d x + c) +--R + +--R 6 5 8 3 10 2 +--R (- 4a b + 8a b - 4a b)d cos(d x + c) +--R + +--R 4 7 6 5 10 +--R (8a b - 12a b + 4a b)d +--R * +--R sin(d x + c) +--R + +--R 5 6 7 4 9 2 2 +--R (- 2a b + 4a b - 2a b )d cos(d x + c) +--R + +--R 3 8 5 6 7 4 9 2 +--R (2a b - 2a b - 2a b + 2a b )d +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R Type: Expression Integer +--E 436 + +--S 437 of 528 +d0382a:= D(m0382a,x) +--R +--R +--R (399) +--R 6 7 8 5 7 +--R (- 6a b + 12a b )sin(d x + c) +--R + +--R 7 6 9 4 2 +--R (- 3a b + 6a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 5 8 7 6 +--R (6a b - 18a b + 12a b )cos(d x + c) - 13a b + 19a b +--R + +--R 9 4 +--R 18a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 6 7 8 5 10 3 3 +--R (3a b - 9a b + 6a b )cos(d x + c) +--R + +--R 6 7 8 5 10 3 2 +--R (- 23a b + 44a b + 6a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 4 9 +--R (5a b - 10a b - 25a b + 30a b )cos(d x + c) - 9a b +--R + +--R 6 7 8 5 10 3 +--R 17a b + 4a b + 30a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 3 +--R (31a b - 98a b + 91a b - 24a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 2 +--R (- 38a b + 55a b + 49a b - 24a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 +--R (- 15a b + 45a b - 81a b + 27a b + 24a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 +--R - 2a b + 39a b - 70a b + 69a b + 24a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 6 7 8 5 10 3 12 5 +--R (- 2a b + 7a b - 11a b + 6a b)cos(d x + c) +--R + +--R 6 7 8 5 10 3 12 4 +--R (- 8a b + 13a b + 19a b + 6a b)cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 12 3 +--R (50a b - 162a b + 156a b - 32a b - 12a b)cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 12 2 +--R (- 38a b + 40a b + 60a b - 92a b - 12a b)cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 12 +--R (- 24a b + 53a b - 39a b - 39a b + 43a b + 6a b) +--R * +--R cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 12 +--R 57a b - 97a b + 51a b + 73a b + 6a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 7 6 9 4 11 2 6 +--R (a b - a b - 6a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 5 +--R (12a b - 33a b + 9a b + 12a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 4 +--R (3a b - 21a b + 78a b + 30a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 3 +--R (30a b - 108a b + 126a b - 24a b - 24a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 +--R (- 28a b + 15a b + 61a b - 159a b - 42a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 11 2 +--R (- 12a b + 17a b + 11a b - 43a b + 15a b + 12a b ) +--R * +--R cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 +--R 40a b - 53a b + 9a b + 82a b + 18a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 6 7 8 5 10 3 7 +--R (- 3a b + 9a b - 6a b )cos(d x + c) +--R + +--R 6 7 8 5 10 3 6 +--R (- 3a b + 9a b - 18a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 5 +--R (15a b - 45a b + 12a b + 18a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 4 +--R (11a b - 31a b + 56a b + 54a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 3 +--R (6a b - 32a b + 61a b - 17a b - 18a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 2 +--R (- 12a b - 3a b + 45a b - 105a b - 54a b )cos(d x + c) +--R + +--R 13 2 11 4 9 6 7 8 5 10 3 +--R (- 2b + a b + 6a b - 7a b - 4a b + 6a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 +--R 14a b - 13a b - 5a b + 40a b + 18a b +--R * +--R sin(d x + c) +--R + +--R 5 8 7 6 9 4 7 +--R (- a b + 5a b - 4a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 6 +--R (- 2a b + 6a b - 10a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 5 +--R (5a b - 17a b + 4a b + 8a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 4 +--R (4a b - 9a b + 9a b + 26a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 3 +--R (- 5a b + 18a b - 9a b - 4a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 2 +--R (- 2a b - 3a b + 13a b - 22a b - 22a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 +--R 2a b - a b - 2a b + 7a b + 6a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 7 6 9 4 7 +--R (- 12a b + 24a b )sin(d x + c) +--R + +--R 8 5 10 3 2 +--R (- 6a b + 12a b )cos(d x + c) +--R + +--R 6 7 8 5 10 3 6 7 8 5 +--R (12a b - 36a b + 24a b )cos(d x + c) - 42a b + 78a b +--R + +--R 10 3 +--R - 12a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 7 6 9 4 11 2 3 +--R (6a b - 18a b + 12a b )cos(d x + c) +--R + +--R 7 6 9 4 11 2 2 +--R (- 30a b + 48a b + 60a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 5 8 +--R (26a b - 76a b + 38a b + 12a b )cos(d x + c) - 82a b +--R + +--R 7 6 9 4 11 2 +--R 162a b - 104a b - 36a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 8 5 10 3 12 4 +--R (- 4a b + 10a b - 12a b)cos(d x + c) +--R + +--R 6 7 8 5 10 3 3 +--R (46a b - 140a b + 94a b )cos(d x + c) +--R + +--R 6 7 8 5 10 3 12 2 +--R (- 20a b - 6a b + 206a b + 24a b)cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 4 9 +--R (34a b - 118a b + 134a b - 50a b )cos(d x + c) - 104a b +--R + +--R 6 7 8 5 10 3 12 +--R 208a b - 160a b - 172a b - 12a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 7 6 9 4 11 2 4 +--R (- 28a b + 52a b + 12a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 3 +--R (44a b - 136a b + 32a b + 60a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 2 +--R (- 4a b - 20a b + 144a b + 36a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 +--R (52a b - 188a b + 280a b - 84a b - 60a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 +--R - 76a b + 132a b - 60a b - 248a b - 48a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 8 5 10 3 12 6 +--R (2a b - 2a b - 12a b)cos(d x + c) +--R + +--R 6 7 8 5 10 3 12 5 +--R (36a b - 108a b + 84a b - 12a b)cos(d x + c) +--R + +--R 6 7 8 5 10 3 12 4 +--R (- 6a b - 24a b + 150a b + 24a b)cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 12 3 +--R (- 12a b + 12a b - 60a b + 36a b + 24a b)cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 12 2 +--R (- 16a b + 26a b + 26a b - 90a b - 12a b)cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 12 +--R (52a b - 160a b + 200a b + 40a b - 120a b - 12a b) +--R * +--R cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 +--R - 28a b + 34a b + 16a b - 132a b - 58a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 7 6 9 4 11 2 7 +--R (- 6a b + 18a b - 12a b )cos(d x + c) +--R + +--R 7 6 9 4 11 2 6 +--R (- 6a b + 18a b - 36a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 5 +--R (42a b - 132a b + 90a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 4 +--R (18a b - 64a b + 130a b + 72a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 3 +--R (- 28a b + 52a b - 14a b - 46a b + 36a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 +--R (- 16a b + 22a b + 18a b - 126a b - 36a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 11 2 +--R (24a b - 56a b + 38a b + 80a b - 62a b - 24a b ) +--R * +--R cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 +--R - 4a b + 2a b + 8a b - 20a b - 22a b +--R * +--R sin(d x + c) +--R + +--R 6 7 8 5 10 3 7 +--R (- 2a b + 10a b - 8a b )cos(d x + c) +--R + +--R 6 7 8 5 10 3 6 +--R (- 4a b + 12a b - 20a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 5 +--R (14a b - 48a b + 30a b + 4a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 4 +--R (8a b - 22a b + 28a b + 40a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 3 +--R (- 8a b + 10a b + 20a b - 38a b + 16a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 2 +--R (- 4a b + 2a b + 14a b - 40a b - 20a b )cos(d x + c) +--R + +--R 13 2 11 4 9 6 7 8 5 10 3 +--R (4b - 6a b - 2a b + 18a b - 2a b - 12a b )cos(d x + c) +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 6 7 8 5 7 +--R (- 6a b + 12a b )sin(d x + c) +--R + +--R 7 6 9 4 2 +--R (- 3a b + 6a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 5 8 7 6 9 4 +--R (6a b - 18a b + 12a b )cos(d x + c) - 13a b + 19a b + 18a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 6 7 8 5 10 3 3 +--R (3a b - 9a b + 6a b )cos(d x + c) +--R + +--R 6 7 8 5 10 3 2 +--R (- 23a b + 44a b + 6a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 4 9 6 7 +--R (5a b - 10a b - 25a b + 30a b )cos(d x + c) - 9a b + 17a b +--R + +--R 8 5 10 3 +--R 4a b + 30a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 3 +--R (31a b - 98a b + 91a b - 24a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 2 +--R (- 38a b + 55a b + 49a b - 24a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 +--R (- 15a b + 45a b - 81a b + 27a b + 24a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 +--R - 2a b + 39a b - 70a b + 69a b + 24a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 6 7 8 5 10 3 12 5 +--R (- 2a b + 7a b - 11a b + 6a b)cos(d x + c) +--R + +--R 6 7 8 5 10 3 12 4 +--R (- 8a b + 13a b + 19a b + 6a b)cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 12 3 +--R (50a b - 162a b + 156a b - 32a b - 12a b)cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 12 2 +--R (- 38a b + 40a b + 60a b - 92a b - 12a b)cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 12 +--R (- 24a b + 53a b - 39a b - 39a b + 43a b + 6a b) +--R * +--R cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 12 +--R 57a b - 97a b + 51a b + 73a b + 6a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 7 6 9 4 11 2 6 +--R (a b - a b - 6a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 5 +--R (12a b - 33a b + 9a b + 12a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 4 +--R (3a b - 21a b + 78a b + 30a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 3 +--R (30a b - 108a b + 126a b - 24a b - 24a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 2 +--R (- 28a b + 15a b + 61a b - 159a b - 42a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 11 2 +--R (- 12a b + 17a b + 11a b - 43a b + 15a b + 12a b ) +--R * +--R cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 +--R 40a b - 53a b + 9a b + 82a b + 18a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 6 7 8 5 10 3 7 +--R (- 3a b + 9a b - 6a b )cos(d x + c) +--R + +--R 6 7 8 5 10 3 6 +--R (- 3a b + 9a b - 18a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 5 +--R (15a b - 45a b + 12a b + 18a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 4 +--R (11a b - 31a b + 56a b + 54a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 3 +--R (6a b - 32a b + 61a b - 17a b - 18a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 2 +--R (- 12a b - 3a b + 45a b - 105a b - 54a b )cos(d x + c) +--R + +--R 13 2 11 4 9 6 7 8 5 10 3 +--R (- 2b + a b + 6a b - 7a b - 4a b + 6a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 +--R 14a b - 13a b - 5a b + 40a b + 18a b +--R * +--R sin(d x + c) +--R + +--R 5 8 7 6 9 4 7 +--R (- a b + 5a b - 4a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 6 +--R (- 2a b + 6a b - 10a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 5 +--R (5a b - 17a b + 4a b + 8a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 4 +--R (4a b - 9a b + 9a b + 26a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 3 +--R (- 5a b + 18a b - 9a b - 4a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 2 12 +--R (- 2a b - 3a b + 13a b - 22a b - 22a b )cos(d x + c) + 2a b +--R + +--R 3 10 5 8 7 6 9 4 +--R - a b - 2a b + 7a b + 6a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 5 9 7 7 9 5 7 +--R (6a b - 18a b + 12a b )sin(d x + c) +--R + +--R 6 8 8 6 10 4 2 +--R (3a b - 9a b + 6a b )cos(d x + c) +--R + +--R 6 8 8 6 10 4 4 10 6 8 8 6 +--R (6a b - 18a b + 12a b )cos(d x + c) + 13a b - 32a b + a b +--R + +--R 10 4 +--R 18a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 7 7 9 5 11 3 3 +--R (3a b - 9a b + 6a b )cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 2 +--R (23a b - 67a b + 38a b + 6a b )cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 3 11 5 9 +--R (5a b - 10a b - 25a b + 30a b )cos(d x + c) + 9a b - 26a b +--R + +--R 7 7 9 5 11 3 +--R 13a b - 26a b + 30a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 6 8 8 6 10 4 12 2 3 +--R (31a b - 98a b + 91a b - 24a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 2 +--R (38a b - 93a b + 6a b + 73a b - 24a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 +--R (- 15a b + 45a b - 81a b + 27a b + 24a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R 2a b - 41a b + 109a b - 139a b + 45a b + 24a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 7 7 9 5 11 3 13 5 +--R (- 2a b + 7a b - 11a b + 6a b)cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 13 4 +--R (8a b - 21a b - 6a b + 13a b + 6a b)cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 13 3 +--R (50a b - 162a b + 156a b - 32a b - 12a b)cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R (38a b - 78a b - 20a b + 152a b - 80a b - 12a b) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R (- 24a b + 53a b - 39a b - 39a b + 43a b + 6a b) +--R * +--R cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R - 57a b + 154a b - 148a b - 22a b + 67a b + 6a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 6 8 8 6 10 4 12 2 6 +--R (- a b + 2a b + 5a b - 6a b )cos(d x + c) +--R + +--R 6 8 8 6 10 4 12 2 5 +--R (12a b - 33a b + 9a b + 12a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 4 +--R (- 3a b + 24a b - 99a b + 48a b + 30a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 3 +--R (30a b - 108a b + 126a b - 24a b - 24a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R (28a b - 43a b - 46a b + 220a b - 117a b - 42a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R (- 12a b + 17a b + 11a b - 43a b + 15a b + 12a b ) +--R * +--R cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R - 40a b + 93a b - 62a b - 73a b + 64a b + 18a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 7 7 9 5 11 3 7 +--R (- 3a b + 9a b - 6a b )cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 6 +--R (3a b - 12a b + 27a b - 18a b )cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 5 +--R (15a b - 45a b + 12a b + 18a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 4 +--R (- 11a b + 42a b - 87a b + 2a b + 54a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 3 +--R (6a b - 32a b + 61a b - 17a b - 18a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R (12a b - 9a b - 48a b + 150a b - 51a b - 54a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R (- 2a b + a b + 6a b - 7a b - 4a b + 6a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R - 14a b + 27a b - 8a b - 45a b + 22a b + 18a b +--R * +--R sin(d x + c) +--R + +--R 6 8 8 6 10 4 7 +--R (- a b + 5a b - 4a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 6 +--R (2a b - 8a b + 16a b - 10a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 5 +--R (5a b - 17a b + 4a b + 8a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 4 +--R (- 4a b + 13a b - 18a b - 17a b + 26a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 3 +--R (- 5a b + 18a b - 9a b - 4a b )cos(d x + c) +--R + +--R 14 2 12 4 10 6 8 10 4 2 14 +--R (2b + a b - 16a b + 35a b - 22a b )cos(d x + c) - 2b +--R + +--R 2 12 4 10 6 8 8 6 10 4 +--R 3a b + a b - 9a b + a b + 6a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 6 8 8 6 10 4 7 +--R (12a b - 36a b + 24a b )sin(d x + c) +--R + +--R 7 7 9 5 11 3 2 +--R (6a b - 18a b + 12a b )cos(d x + c) +--R + +--R 7 7 9 5 11 3 5 9 7 7 +--R (12a b - 36a b + 24a b )cos(d x + c) + 42a b - 120a b +--R + +--R 9 5 11 3 +--R 90a b - 12a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 8 6 10 4 12 2 3 +--R (6a b - 18a b + 12a b )cos(d x + c) +--R + +--R 6 8 8 6 10 4 12 2 2 +--R (30a b - 78a b - 12a b + 60a b )cos(d x + c) +--R + +--R 6 8 8 6 10 4 12 2 4 10 +--R (26a b - 76a b + 38a b + 12a b )cos(d x + c) + 82a b +--R + +--R 6 8 8 6 10 4 12 2 +--R - 244a b + 266a b - 68a b - 36a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 7 7 9 5 11 3 13 4 +--R (4a b - 14a b + 22a b - 12a b)cos(d x + c) +--R + +--R 7 7 9 5 11 3 3 +--R (46a b - 140a b + 94a b )cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 13 2 +--R (20a b - 14a b - 212a b + 182a b + 24a b)cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 3 11 +--R (34a b - 118a b + 134a b - 50a b )cos(d x + c) + 104a b +--R + +--R 5 9 7 7 9 5 11 3 13 +--R - 312a b + 368a b + 12a b - 160a b - 12a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 6 8 8 6 10 4 12 2 4 +--R (28a b - 80a b + 40a b + 12a b )cos(d x + c) +--R + +--R 6 8 8 6 10 4 12 2 3 +--R (44a b - 136a b + 32a b + 60a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 2 +--R (4a b + 16a b - 164a b + 108a b + 36a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 +--R (52a b - 188a b + 280a b - 84a b - 60a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R 76a b - 208a b + 192a b + 188a b - 200a b - 48a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 7 7 9 5 11 3 13 6 +--R (- 2a b + 4a b + 10a b - 12a b)cos(d x + c) +--R + +--R 7 7 9 5 11 3 13 5 +--R (36a b - 108a b + 84a b - 12a b)cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 13 4 +--R (6a b + 18a b - 174a b + 126a b + 24a b)cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 13 3 +--R (- 12a b + 12a b - 60a b + 36a b + 24a b)cos(d x + c) +--R + +--R 3 11 5 9 9 5 11 3 13 2 +--R (16a b - 42a b + 116a b - 78a b - 12a b)cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R (52a b - 160a b + 200a b + 40a b - 120a b - 12a b) +--R * +--R cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R 28a b - 62a b + 18a b + 148a b - 74a b - 58a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 8 6 10 4 12 2 7 +--R (- 6a b + 18a b - 12a b )cos(d x + c) +--R + +--R 6 8 8 6 10 4 12 2 6 +--R (6a b - 24a b + 54a b - 36a b )cos(d x + c) +--R + +--R 6 8 8 6 10 4 5 +--R (42a b - 132a b + 90a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 4 +--R (- 18a b + 82a b - 194a b + 58a b + 72a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 3 +--R (- 28a b + 52a b - 14a b - 46a b + 36a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R (16a b - 38a b + 4a b + 144a b - 90a b - 36a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R (24a b - 56a b + 38a b + 80a b - 62a b - 24a b ) +--R * +--R cos(d x + c) +--R + +--R 14 2 12 4 10 6 8 8 6 10 4 +--R 4b - 6a b - 6a b + 28a b + 2a b - 22a b +--R * +--R sin(d x + c) +--R + +--R 7 7 9 5 11 3 7 +--R (- 2a b + 10a b - 8a b )cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 6 +--R (4a b - 16a b + 32a b - 20a b )cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 5 +--R (14a b - 48a b + 30a b + 4a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 4 +--R (- 8a b + 30a b - 50a b - 12a b + 40a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 3 +--R (- 8a b + 10a b + 20a b - 38a b + 16a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 2 +--R (4a b - 6a b - 12a b + 54a b - 20a b - 20a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R (4a b - 6a b - 2a b + 18a b - 2a b - 12a b )cos(d x + c) +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 5 9 7 7 9 5 7 +--R (6a b - 18a b + 12a b )sin(d x + c) +--R + +--R 6 8 8 6 10 4 2 +--R (3a b - 9a b + 6a b )cos(d x + c) +--R + +--R 6 8 8 6 10 4 4 10 6 8 8 6 +--R (6a b - 18a b + 12a b )cos(d x + c) + 13a b - 32a b + a b +--R + +--R 10 4 +--R 18a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 7 7 9 5 11 3 3 +--R (3a b - 9a b + 6a b )cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 2 +--R (23a b - 67a b + 38a b + 6a b )cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 3 11 5 9 +--R (5a b - 10a b - 25a b + 30a b )cos(d x + c) + 9a b - 26a b +--R + +--R 7 7 9 5 11 3 +--R 13a b - 26a b + 30a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 6 8 8 6 10 4 12 2 3 +--R (31a b - 98a b + 91a b - 24a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 2 +--R (38a b - 93a b + 6a b + 73a b - 24a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 +--R (- 15a b + 45a b - 81a b + 27a b + 24a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R 2a b - 41a b + 109a b - 139a b + 45a b + 24a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 7 7 9 5 11 3 13 5 +--R (- 2a b + 7a b - 11a b + 6a b)cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 13 4 +--R (8a b - 21a b - 6a b + 13a b + 6a b)cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 13 3 +--R (50a b - 162a b + 156a b - 32a b - 12a b)cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 2 +--R (38a b - 78a b - 20a b + 152a b - 80a b - 12a b)cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R (- 24a b + 53a b - 39a b - 39a b + 43a b + 6a b)cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 13 +--R - 57a b + 154a b - 148a b - 22a b + 67a b + 6a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 6 8 8 6 10 4 12 2 6 +--R (- a b + 2a b + 5a b - 6a b )cos(d x + c) +--R + +--R 6 8 8 6 10 4 12 2 5 +--R (12a b - 33a b + 9a b + 12a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 4 +--R (- 3a b + 24a b - 99a b + 48a b + 30a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 12 2 3 +--R (30a b - 108a b + 126a b - 24a b - 24a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R (28a b - 43a b - 46a b + 220a b - 117a b - 42a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R (- 12a b + 17a b + 11a b - 43a b + 15a b + 12a b ) +--R * +--R cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 12 2 +--R - 40a b + 93a b - 62a b - 73a b + 64a b + 18a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 7 7 9 5 11 3 7 +--R (- 3a b + 9a b - 6a b )cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 6 +--R (3a b - 12a b + 27a b - 18a b )cos(d x + c) +--R + +--R 5 9 7 7 9 5 11 3 5 +--R (15a b - 45a b + 12a b + 18a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 4 +--R (- 11a b + 42a b - 87a b + 2a b + 54a b )cos(d x + c) +--R + +--R 3 11 5 9 7 7 9 5 11 3 3 +--R (6a b - 32a b + 61a b - 17a b - 18a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 2 +--R (12a b - 9a b - 48a b + 150a b - 51a b - 54a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R (- 2a b + a b + 6a b - 7a b - 4a b + 6a b )cos(d x + c) +--R + +--R 13 3 11 5 9 7 7 9 5 11 3 +--R - 14a b + 27a b - 8a b - 45a b + 22a b + 18a b +--R * +--R sin(d x + c) +--R + +--R 6 8 8 6 10 4 7 +--R (- a b + 5a b - 4a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 6 +--R (2a b - 8a b + 16a b - 10a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 5 +--R (5a b - 17a b + 4a b + 8a b )cos(d x + c) +--R + +--R 2 12 4 10 6 8 8 6 10 4 4 +--R (- 4a b + 13a b - 18a b - 17a b + 26a b )cos(d x + c) +--R + +--R 4 10 6 8 8 6 10 4 3 +--R (- 5a b + 18a b - 9a b - 4a b )cos(d x + c) +--R + +--R 14 2 12 4 10 6 8 10 4 2 14 2 12 +--R (2b + a b - 16a b + 35a b - 22a b )cos(d x + c) - 2b + 3a b +--R + +--R 4 10 6 8 8 6 10 4 +--R a b - 9a b + a b + 6a b +--R / +--R 8 8 10 6 12 4 6 +--R (8a b - 16a b + 8a b )sin(d x + c) +--R + +--R 9 7 11 5 13 3 2 +--R (- 8a b + 16a b - 8a b )cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 7 9 +--R (- 8a b + 24a b - 24a b + 8a b )cos(d x + c) + 32a b +--R + +--R 9 7 13 3 +--R - 48a b + 16a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 10 6 12 4 14 2 4 +--R (2a b - 4a b + 2a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 3 +--R (8a b - 24a b + 24a b - 8a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 2 +--R (- 28a b + 44a b - 4a b - 12a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 14 2 +--R (- 32a b + 88a b - 72a b + 8a b + 8a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 14 2 +--R 50a b - 40a b - 60a b + 40a b + 10a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 9 7 11 5 13 3 15 5 +--R (- 2a b + 6a b - 6a b + 2a b)cos(d x + c) +--R + +--R 9 7 11 5 13 3 15 4 +--R (6a b - 10a b + 2a b + 2a b)cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 15 3 +--R (28a b - 80a b + 72a b - 16a b - 4a b)cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 15 2 +--R (- 36a b + 32a b + 40a b - 32a b - 4a b)cos(d x + c) +--R + +--R 5 11 7 9 9 7 11 5 13 3 15 +--R (- 50a b + 122a b - 68a b - 28a b + 22a b + 2a b) +--R * +--R cos(d x + c) +--R + +--R 5 11 7 9 9 7 11 5 13 3 15 +--R 38a b + 10a b - 100a b + 20a b + 30a b + 2a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 5 +--R (- 6a b + 18a b - 18a b + 6a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 4 +--R (6a b - 6a b - 6a b + 6a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 14 2 3 +--R (36a b - 96a b + 72a b - 12a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 14 2 +--R (- 20a b - 8a b + 64a b - 24a b - 12a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 4 12 6 10 8 8 10 6 12 4 14 2 +--R (- 38a b + 78a b - 12a b - 52a b + 18a b + 6a b ) +--R * +--R cos(d x + c) +--R + +--R 4 12 6 10 8 8 10 6 12 4 14 2 +--R 14a b + 30a b - 60a b - 20a b + 30a b + 6a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 5 +--R (- 6a b + 18a b - 18a b + 6a b )cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 4 +--R (2a b + 2a b - 10a b + 6a b )cos(d x + c) +--R + +--R 5 11 7 9 9 7 11 5 13 3 3 +--R (20a b - 48a b + 24a b + 16a b - 12a b )cos(d x + c) +--R + +--R 5 11 7 9 9 7 13 3 2 +--R (- 4a b - 16a b + 32a b - 12a b )cos(d x + c) +--R + +--R 3 13 5 11 7 9 9 7 11 5 13 3 +--R (- 14a b + 22a b + 12a b - 28a b + 2a b + 6a b ) +--R * +--R cos(d x + c) +--R + +--R 3 13 5 11 7 9 9 7 11 5 13 3 +--R 2a b + 14a b - 12a b - 20a b + 10a b + 6a b +--R * +--R sin(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 5 +--R (- 2a b + 6a b - 6a b + 2a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 4 +--R (2a b - 4a b + 2a b )cos(d x + c) +--R + +--R 4 12 6 10 10 6 12 4 3 +--R (4a b - 8a b + 8a b - 4a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 2 +--R (- 4a b + 4a b + 4a b - 4a b )cos(d x + c) +--R + +--R 2 14 4 12 6 10 8 8 10 6 12 4 +--R (- 2a b + 2a b + 4a b - 4a b - 2a b + 2a b ) +--R * +--R cos(d x + c) +--R + +--R 4 12 8 8 12 4 +--R 2a b - 4a b + 2a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 9 7 11 5 13 3 6 +--R (16a b - 32a b + 16a b )sin(d x + c) +--R + +--R 10 6 12 4 14 2 2 +--R (- 16a b + 32a b - 16a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 8 8 +--R (- 16a b + 48a b - 48a b + 16a b )cos(d x + c) + 64a b +--R + +--R 10 6 14 2 +--R - 96a b + 32a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 11 5 13 3 15 4 +--R (4a b - 8a b + 4a b)cos(d x + c) +--R + +--R 9 7 11 5 13 3 15 3 +--R (16a b - 48a b + 48a b - 16a b)cos(d x + c) +--R + +--R 9 7 11 5 13 3 15 2 +--R (- 56a b + 88a b - 8a b - 24a b)cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 15 +--R (- 64a b + 176a b - 144a b + 16a b + 16a b) +--R * +--R cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 15 +--R 100a b - 80a b - 120a b + 80a b + 20a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 10 6 12 4 14 2 16 5 +--R (- 4a b + 12a b - 12a b + 4a )cos(d x + c) +--R + +--R 10 6 12 4 14 2 16 4 +--R (12a b - 20a b + 4a b + 4a )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 16 3 +--R (56a b - 160a b + 144a b - 32a b - 8a )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 16 2 +--R (- 72a b + 64a b + 80a b - 64a b - 8a )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 14 2 +--R - 100a b + 244a b - 136a b - 56a b + 44a b +--R + +--R 16 +--R 4a +--R * +--R cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 14 2 16 +--R 76a b + 20a b - 200a b + 40a b + 60a b + 4a +--R * +--R 3 +--R sin(d x + c) +--R + +--R 9 7 11 5 13 3 15 5 +--R (- 12a b + 36a b - 36a b + 12a b)cos(d x + c) +--R + +--R 9 7 11 5 13 3 15 4 +--R (12a b - 12a b - 12a b + 12a b)cos(d x + c) +--R + +--R 7 9 9 7 11 5 15 3 +--R (72a b - 192a b + 144a b - 24a b)cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 15 +--R (- 40a b - 16a b + 128a b - 48a b - 24a b) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 5 11 7 9 9 7 11 5 13 3 +--R - 76a b + 156a b - 24a b - 104a b + 36a b +--R + +--R 15 +--R 12a b +--R * +--R cos(d x + c) +--R + +--R 5 11 7 9 9 7 11 5 13 3 15 +--R 28a b + 60a b - 120a b - 40a b + 60a b + 12a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 5 +--R (- 12a b + 36a b - 36a b + 12a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 4 +--R (4a b + 4a b - 20a b + 12a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 14 2 3 +--R (40a b - 96a b + 48a b + 32a b - 24a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 14 2 2 +--R (- 8a b - 32a b + 64a b - 24a b )cos(d x + c) +--R + +--R 4 12 6 10 8 8 10 6 12 4 14 2 +--R (- 28a b + 44a b + 24a b - 56a b + 4a b + 12a b ) +--R * +--R cos(d x + c) +--R + +--R 4 12 6 10 8 8 10 6 12 4 14 2 +--R 4a b + 28a b - 24a b - 40a b + 20a b + 12a b +--R * +--R sin(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 5 +--R (- 4a b + 12a b - 12a b + 4a b )cos(d x + c) +--R + +--R 9 7 11 5 13 3 4 +--R (4a b - 8a b + 4a b )cos(d x + c) +--R + +--R 5 11 7 9 11 5 13 3 3 +--R (8a b - 16a b + 16a b - 8a b )cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 2 +--R (- 8a b + 8a b + 8a b - 8a b )cos(d x + c) +--R + +--R 3 13 5 11 7 9 9 7 11 5 13 3 +--R (- 4a b + 4a b + 8a b - 8a b - 4a b + 4a b )cos(d x + c) +--R + +--R 5 11 9 7 13 3 +--R 4a b - 8a b + 4a b +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 8 8 10 6 12 4 6 +--R (8a b - 16a b + 8a b )sin(d x + c) +--R + +--R 9 7 11 5 13 3 2 +--R (- 8a b + 16a b - 8a b )cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 7 9 +--R (- 8a b + 24a b - 24a b + 8a b )cos(d x + c) + 32a b +--R + +--R 9 7 13 3 +--R - 48a b + 16a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 10 6 12 4 14 2 4 +--R (2a b - 4a b + 2a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 3 +--R (8a b - 24a b + 24a b - 8a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 2 +--R (- 28a b + 44a b - 4a b - 12a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 14 2 +--R (- 32a b + 88a b - 72a b + 8a b + 8a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 14 2 +--R 50a b - 40a b - 60a b + 40a b + 10a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 9 7 11 5 13 3 15 5 +--R (- 2a b + 6a b - 6a b + 2a b)cos(d x + c) +--R + +--R 9 7 11 5 13 3 15 4 +--R (6a b - 10a b + 2a b + 2a b)cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 15 3 +--R (28a b - 80a b + 72a b - 16a b - 4a b)cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 15 2 +--R (- 36a b + 32a b + 40a b - 32a b - 4a b)cos(d x + c) +--R + +--R 5 11 7 9 9 7 11 5 13 3 15 +--R (- 50a b + 122a b - 68a b - 28a b + 22a b + 2a b) +--R * +--R cos(d x + c) +--R + +--R 5 11 7 9 9 7 11 5 13 3 15 +--R 38a b + 10a b - 100a b + 20a b + 30a b + 2a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 5 +--R (- 6a b + 18a b - 18a b + 6a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 4 +--R (6a b - 6a b - 6a b + 6a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 14 2 3 +--R (36a b - 96a b + 72a b - 12a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 14 2 2 +--R (- 20a b - 8a b + 64a b - 24a b - 12a b )cos(d x + c) +--R + +--R 4 12 6 10 8 8 10 6 12 4 14 2 +--R (- 38a b + 78a b - 12a b - 52a b + 18a b + 6a b ) +--R * +--R cos(d x + c) +--R + +--R 4 12 6 10 8 8 10 6 12 4 14 2 +--R 14a b + 30a b - 60a b - 20a b + 30a b + 6a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 5 +--R (- 6a b + 18a b - 18a b + 6a b )cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 4 +--R (2a b + 2a b - 10a b + 6a b )cos(d x + c) +--R + +--R 5 11 7 9 9 7 11 5 13 3 3 +--R (20a b - 48a b + 24a b + 16a b - 12a b )cos(d x + c) +--R + +--R 5 11 7 9 9 7 13 3 2 +--R (- 4a b - 16a b + 32a b - 12a b )cos(d x + c) +--R + +--R 3 13 5 11 7 9 9 7 11 5 13 3 +--R (- 14a b + 22a b + 12a b - 28a b + 2a b + 6a b ) +--R * +--R cos(d x + c) +--R + +--R 3 13 5 11 7 9 9 7 11 5 13 3 +--R 2a b + 14a b - 12a b - 20a b + 10a b + 6a b +--R * +--R sin(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 5 +--R (- 2a b + 6a b - 6a b + 2a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 4 +--R (2a b - 4a b + 2a b )cos(d x + c) +--R + +--R 4 12 6 10 10 6 12 4 3 +--R (4a b - 8a b + 8a b - 4a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 2 +--R (- 4a b + 4a b + 4a b - 4a b )cos(d x + c) +--R + +--R 2 14 4 12 6 10 8 8 10 6 12 4 +--R (- 2a b + 2a b + 4a b - 4a b - 2a b + 2a b )cos(d x + c) +--R + +--R 4 12 8 8 12 4 +--R 2a b - 4a b + 2a b +--R * +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 7 10 9 8 11 6 13 4 6 +--R (- 8a b + 24a b - 24a b + 8a b )sin(d x + c) +--R + +--R 8 9 10 7 12 5 14 3 2 +--R (8a b - 24a b + 24a b - 8a b )cos(d x + c) +--R + +--R 8 9 10 7 12 5 14 3 6 11 +--R (- 8a b + 24a b - 24a b + 8a b )cos(d x + c) - 32a b +--R + +--R 8 9 10 7 12 5 14 3 +--R 80a b - 48a b - 16a b + 16a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 9 8 11 6 13 4 15 2 4 +--R (- 2a b + 6a b - 6a b + 2a b )cos(d x + c) +--R + +--R 9 8 11 6 13 4 15 2 3 +--R (8a b - 24a b + 24a b - 8a b )cos(d x + c) +--R + +--R 7 10 9 8 11 6 13 4 15 2 2 +--R (28a b - 72a b + 48a b + 8a b - 12a b )cos(d x + c) +--R + +--R 7 10 9 8 11 6 13 4 15 2 +--R (- 32a b + 88a b - 72a b + 8a b + 8a b )cos(d x + c) +--R + +--R 5 12 7 10 9 8 11 6 13 4 15 2 +--R - 50a b + 90a b + 20a b - 100a b + 30a b + 10a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 10 7 12 5 14 3 16 5 +--R (- 2a b + 6a b - 6a b + 2a b)cos(d x + c) +--R + +--R 8 9 10 7 12 5 16 4 +--R (- 6a b + 16a b - 12a b + 2a b)cos(d x + c) +--R + +--R 8 9 10 7 12 5 14 3 16 3 +--R (28a b - 80a b + 72a b - 16a b - 4a b)cos(d x + c) +--R + +--R 6 11 8 9 10 7 12 5 14 3 16 +--R (36a b - 68a b - 8a b + 72a b - 28a b - 4a b) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 6 11 8 9 10 7 12 5 14 3 16 +--R (- 50a b + 122a b - 68a b - 28a b + 22a b + 2a b) +--R * +--R cos(d x + c) +--R + +--R 4 13 6 11 8 9 10 7 12 5 14 3 +--R - 38a b + 28a b + 110a b - 120a b - 10a b + 28a b +--R + +--R 16 +--R 2a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 9 8 11 6 13 4 15 2 5 +--R (- 6a b + 18a b - 18a b + 6a b )cos(d x + c) +--R + +--R 7 10 9 8 13 4 15 2 4 +--R (- 6a b + 12a b - 12a b + 6a b )cos(d x + c) +--R + +--R 7 10 9 8 11 6 15 2 3 +--R (36a b - 96a b + 72a b - 12a b )cos(d x + c) +--R + +--R 5 12 7 10 9 8 11 6 13 4 15 2 +--R (20a b - 12a b - 72a b + 88a b - 12a b - 12a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 5 12 7 10 9 8 11 6 13 4 15 2 +--R (- 38a b + 78a b - 12a b - 52a b + 18a b + 6a b ) +--R * +--R cos(d x + c) +--R + +--R 3 14 5 12 7 10 9 8 11 6 13 4 15 2 +--R - 14a b - 16a b + 90a b - 40a b - 50a b + 24a b + 6a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 8 9 10 7 12 5 14 3 5 +--R (- 6a b + 18a b - 18a b + 6a b )cos(d x + c) +--R + +--R 6 11 10 7 12 5 14 3 4 +--R (- 2a b + 12a b - 16a b + 6a b )cos(d x + c) +--R + +--R 6 11 8 9 10 7 12 5 14 3 3 +--R (20a b - 48a b + 24a b + 16a b - 12a b )cos(d x + c) +--R + +--R 4 13 6 11 8 9 10 7 12 5 14 3 +--R (4a b + 12a b - 48a b + 32a b + 12a b - 12a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 4 13 6 11 8 9 10 7 12 5 14 3 +--R (- 14a b + 22a b + 12a b - 28a b + 2a b + 6a b ) +--R * +--R cos(d x + c) +--R + +--R 2 15 4 13 6 11 8 9 10 7 12 5 14 3 +--R - 2a b - 12a b + 26a b + 8a b - 30a b + 4a b + 6a b +--R * +--R sin(d x + c) +--R + +--R 7 10 9 8 11 6 13 4 5 +--R (- 2a b + 6a b - 6a b + 2a b )cos(d x + c) +--R + +--R 7 10 9 8 11 6 13 4 4 +--R (- 2a b + 6a b - 6a b + 2a b )cos(d x + c) +--R + +--R 5 12 7 10 11 6 13 4 3 +--R (4a b - 8a b + 8a b - 4a b )cos(d x + c) +--R + +--R 5 12 7 10 11 6 13 4 2 +--R (4a b - 8a b + 8a b - 4a b )cos(d x + c) +--R + +--R 3 14 5 12 7 10 9 8 11 6 13 4 +--R (- 2a b + 2a b + 4a b - 4a b - 2a b + 2a b )cos(d x + c) +--R + +--R 3 14 5 12 7 10 9 8 11 6 13 4 +--R - 2a b + 2a b + 4a b - 4a b - 2a b + 2a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 8 9 10 7 12 5 14 3 6 +--R (- 16a b + 48a b - 48a b + 16a b )sin(d x + c) +--R + +--R 9 8 11 6 13 4 15 2 2 +--R (16a b - 48a b + 48a b - 16a b )cos(d x + c) +--R + +--R 9 8 11 6 13 4 15 2 7 10 +--R (- 16a b + 48a b - 48a b + 16a b )cos(d x + c) - 64a b +--R + +--R 9 8 11 6 13 4 15 2 +--R 160a b - 96a b - 32a b + 32a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 10 7 12 5 14 3 16 4 +--R (- 4a b + 12a b - 12a b + 4a b)cos(d x + c) +--R + +--R 10 7 12 5 14 3 16 3 +--R (16a b - 48a b + 48a b - 16a b)cos(d x + c) +--R + +--R 8 9 10 7 12 5 14 3 16 2 +--R (56a b - 144a b + 96a b + 16a b - 24a b)cos(d x + c) +--R + +--R 8 9 10 7 12 5 14 3 16 +--R (- 64a b + 176a b - 144a b + 16a b + 16a b)cos(d x + c) +--R + +--R 6 11 8 9 10 7 12 5 14 3 16 +--R - 100a b + 180a b + 40a b - 200a b + 60a b + 20a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 11 6 13 4 15 2 17 5 +--R (- 4a b + 12a b - 12a b + 4a )cos(d x + c) +--R + +--R 9 8 11 6 13 4 17 4 +--R (- 12a b + 32a b - 24a b + 4a )cos(d x + c) +--R + +--R 9 8 11 6 13 4 15 2 17 3 +--R (56a b - 160a b + 144a b - 32a b - 8a )cos(d x + c) +--R + +--R 7 10 9 8 11 6 13 4 15 2 17 +--R (72a b - 136a b - 16a b + 144a b - 56a b - 8a ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 7 10 9 8 11 6 13 4 15 2 17 +--R (- 100a b + 244a b - 136a b - 56a b + 44a b + 4a ) +--R * +--R cos(d x + c) +--R + +--R 5 12 7 10 9 8 11 6 13 4 15 2 17 +--R - 76a b + 56a b + 220a b - 240a b - 20a b + 56a b + 4a +--R * +--R 3 +--R sin(d x + c) +--R + +--R 10 7 12 5 14 3 16 5 +--R (- 12a b + 36a b - 36a b + 12a b)cos(d x + c) +--R + +--R 8 9 10 7 14 3 16 4 +--R (- 12a b + 24a b - 24a b + 12a b)cos(d x + c) +--R + +--R 8 9 10 7 12 5 16 3 +--R (72a b - 192a b + 144a b - 24a b)cos(d x + c) +--R + +--R 6 11 8 9 10 7 12 5 14 3 16 +--R (40a b - 24a b - 144a b + 176a b - 24a b - 24a b) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 6 11 8 9 10 7 12 5 14 3 16 +--R (- 76a b + 156a b - 24a b - 104a b + 36a b + 12a b) +--R * +--R cos(d x + c) +--R + +--R 4 13 6 11 8 9 10 7 12 5 14 3 +--R - 28a b - 32a b + 180a b - 80a b - 100a b + 48a b +--R + +--R 16 +--R 12a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 9 8 11 6 13 4 15 2 5 +--R (- 12a b + 36a b - 36a b + 12a b )cos(d x + c) +--R + +--R 7 10 11 6 13 4 15 2 4 +--R (- 4a b + 24a b - 32a b + 12a b )cos(d x + c) +--R + +--R 7 10 9 8 11 6 13 4 15 2 3 +--R (40a b - 96a b + 48a b + 32a b - 24a b )cos(d x + c) +--R + +--R 5 12 7 10 9 8 11 6 13 4 15 2 +--R (8a b + 24a b - 96a b + 64a b + 24a b - 24a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 5 12 7 10 9 8 11 6 13 4 15 2 +--R (- 28a b + 44a b + 24a b - 56a b + 4a b + 12a b ) +--R * +--R cos(d x + c) +--R + +--R 3 14 5 12 7 10 9 8 11 6 13 4 15 2 +--R - 4a b - 24a b + 52a b + 16a b - 60a b + 8a b + 12a b +--R * +--R sin(d x + c) +--R + +--R 8 9 10 7 12 5 14 3 5 +--R (- 4a b + 12a b - 12a b + 4a b )cos(d x + c) +--R + +--R 8 9 10 7 12 5 14 3 4 +--R (- 4a b + 12a b - 12a b + 4a b )cos(d x + c) +--R + +--R 6 11 8 9 12 5 14 3 3 +--R (8a b - 16a b + 16a b - 8a b )cos(d x + c) +--R + +--R 6 11 8 9 12 5 14 3 2 +--R (8a b - 16a b + 16a b - 8a b )cos(d x + c) +--R + +--R 4 13 6 11 8 9 10 7 12 5 14 3 +--R (- 4a b + 4a b + 8a b - 8a b - 4a b + 4a b )cos(d x + c) +--R + +--R 4 13 6 11 8 9 10 7 12 5 14 3 +--R - 4a b + 4a b + 8a b - 8a b - 4a b + 4a b +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 7 10 9 8 11 6 13 4 6 +--R (- 8a b + 24a b - 24a b + 8a b )sin(d x + c) +--R + +--R 8 9 10 7 12 5 14 3 2 +--R (8a b - 24a b + 24a b - 8a b )cos(d x + c) +--R + +--R 8 9 10 7 12 5 14 3 6 11 8 9 +--R (- 8a b + 24a b - 24a b + 8a b )cos(d x + c) - 32a b + 80a b +--R + +--R 10 7 12 5 14 3 +--R - 48a b - 16a b + 16a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 9 8 11 6 13 4 15 2 4 +--R (- 2a b + 6a b - 6a b + 2a b )cos(d x + c) +--R + +--R 9 8 11 6 13 4 15 2 3 +--R (8a b - 24a b + 24a b - 8a b )cos(d x + c) +--R + +--R 7 10 9 8 11 6 13 4 15 2 2 +--R (28a b - 72a b + 48a b + 8a b - 12a b )cos(d x + c) +--R + +--R 7 10 9 8 11 6 13 4 15 2 +--R (- 32a b + 88a b - 72a b + 8a b + 8a b )cos(d x + c) +--R + +--R 5 12 7 10 9 8 11 6 13 4 15 2 +--R - 50a b + 90a b + 20a b - 100a b + 30a b + 10a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 10 7 12 5 14 3 16 5 +--R (- 2a b + 6a b - 6a b + 2a b)cos(d x + c) +--R + +--R 8 9 10 7 12 5 16 4 +--R (- 6a b + 16a b - 12a b + 2a b)cos(d x + c) +--R + +--R 8 9 10 7 12 5 14 3 16 3 +--R (28a b - 80a b + 72a b - 16a b - 4a b)cos(d x + c) +--R + +--R 6 11 8 9 10 7 12 5 14 3 16 2 +--R (36a b - 68a b - 8a b + 72a b - 28a b - 4a b)cos(d x + c) +--R + +--R 6 11 8 9 10 7 12 5 14 3 16 +--R (- 50a b + 122a b - 68a b - 28a b + 22a b + 2a b) +--R * +--R cos(d x + c) +--R + +--R 4 13 6 11 8 9 10 7 12 5 14 3 16 +--R - 38a b + 28a b + 110a b - 120a b - 10a b + 28a b + 2a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 9 8 11 6 13 4 15 2 5 +--R (- 6a b + 18a b - 18a b + 6a b )cos(d x + c) +--R + +--R 7 10 9 8 13 4 15 2 4 +--R (- 6a b + 12a b - 12a b + 6a b )cos(d x + c) +--R + +--R 7 10 9 8 11 6 15 2 3 +--R (36a b - 96a b + 72a b - 12a b )cos(d x + c) +--R + +--R 5 12 7 10 9 8 11 6 13 4 15 2 +--R (20a b - 12a b - 72a b + 88a b - 12a b - 12a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 5 12 7 10 9 8 11 6 13 4 15 2 +--R (- 38a b + 78a b - 12a b - 52a b + 18a b + 6a b ) +--R * +--R cos(d x + c) +--R + +--R 3 14 5 12 7 10 9 8 11 6 13 4 15 2 +--R - 14a b - 16a b + 90a b - 40a b - 50a b + 24a b + 6a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 8 9 10 7 12 5 14 3 5 +--R (- 6a b + 18a b - 18a b + 6a b )cos(d x + c) +--R + +--R 6 11 10 7 12 5 14 3 4 +--R (- 2a b + 12a b - 16a b + 6a b )cos(d x + c) +--R + +--R 6 11 8 9 10 7 12 5 14 3 3 +--R (20a b - 48a b + 24a b + 16a b - 12a b )cos(d x + c) +--R + +--R 4 13 6 11 8 9 10 7 12 5 14 3 +--R (4a b + 12a b - 48a b + 32a b + 12a b - 12a b ) +--R * +--R 2 +--R cos(d x + c) +--R + +--R 4 13 6 11 8 9 10 7 12 5 14 3 +--R (- 14a b + 22a b + 12a b - 28a b + 2a b + 6a b ) +--R * +--R cos(d x + c) +--R + +--R 2 15 4 13 6 11 8 9 10 7 12 5 14 3 +--R - 2a b - 12a b + 26a b + 8a b - 30a b + 4a b + 6a b +--R * +--R sin(d x + c) +--R + +--R 7 10 9 8 11 6 13 4 5 +--R (- 2a b + 6a b - 6a b + 2a b )cos(d x + c) +--R + +--R 7 10 9 8 11 6 13 4 4 +--R (- 2a b + 6a b - 6a b + 2a b )cos(d x + c) +--R + +--R 5 12 7 10 11 6 13 4 3 +--R (4a b - 8a b + 8a b - 4a b )cos(d x + c) +--R + +--R 5 12 7 10 11 6 13 4 2 +--R (4a b - 8a b + 8a b - 4a b )cos(d x + c) +--R + +--R 3 14 5 12 7 10 9 8 11 6 13 4 +--R (- 2a b + 2a b + 4a b - 4a b - 2a b + 2a b )cos(d x + c) +--R + +--R 3 14 5 12 7 10 9 8 11 6 13 4 +--R - 2a b + 2a b + 4a b - 4a b - 2a b + 2a b +--R Type: Expression Integer +--E 437 + +--S 438 of 528 +m0382b:= a0382.2-r0382 +--R +--R +--R (400) +--R 3 6 5 4 7 2 3 +--R (- 8a b + 20a b - 24a b )sin(d x + c) +--R + +--R 4 5 6 3 8 2 2 7 4 5 6 3 +--R (4a b - 10a b + 12a b)cos(d x + c) - 20a b + 46a b - 50a b +--R + +--R 8 +--R - 12a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 6 5 4 7 2 2 8 3 6 5 4 +--R (8a b - 20a b + 24a b )cos(d x + c) - 16a b + 32a b - 28a b +--R + +--R 7 2 +--R - 24a b +--R * +--R sin(d x + c) +--R + +--R 2 7 4 5 6 3 2 9 2 7 4 5 6 3 +--R (4a b - 10a b + 12a b )cos(d x + c) - 4b + 6a b - 2a b - 12a b +--R * +--R d x + c +--R +-------+ b tan(-------) + a +--R | 2 2 2 +--R \|b - a atanh(------------------) +--R +---------+ +--R | 2 2 +--R \|- b + a +--R + +--R 3 6 5 4 7 2 3 +--R (- 8a b + 20a b - 24a b )sin(d x + c) +--R + +--R 4 5 6 3 8 2 2 7 4 5 6 3 +--R (4a b - 10a b + 12a b)cos(d x + c) - 20a b + 46a b - 50a b +--R + +--R 8 +--R - 12a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 3 6 5 4 7 2 2 8 3 6 5 4 +--R (8a b - 20a b + 24a b )cos(d x + c) - 16a b + 32a b - 28a b +--R + +--R 7 2 +--R - 24a b +--R * +--R sin(d x + c) +--R + +--R 2 7 4 5 6 3 2 9 2 7 4 5 6 3 +--R (4a b - 10a b + 12a b )cos(d x + c) - 4b + 6a b - 2a b - 12a b +--R * +--R +-------+ +--R +---------+ | 2 2 +--R | 2 2 (b sin(d x + c) + a cos(d x + c) + a)\|b - a +--R \|- b + a atan(-----------------------------------------------) +--R 2 2 2 2 +--R (b - a )cos(d x + c) + b - a +--R + +--R 4 4 6 2 4 4 6 2 3 +--R ((3a b - 6a b )cos(d x + c) + 4a b - 10a b )sin(d x + c) +--R + +--R 5 3 7 2 3 5 5 3 +--R (- 2a b + 5a b)cos(d x + c) + (2a b - 5a b )cos(d x + c) +--R + +--R 3 5 5 3 7 +--R 10a b - 23a b - 5a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 4 4 6 2 3 4 4 6 2 2 +--R (3a b - 6a b )cos(d x + c) + (- 4a b + 10a b )cos(d x + c) +--R + +--R 4 4 6 2 2 6 4 4 6 2 +--R (- 3a b + 6a b )cos(d x + c) + 8a b - 16a b - 10a b +--R * +--R sin(d x + c) +--R + +--R 3 5 5 3 3 3 5 5 3 2 +--R (2a b - 5a b )cos(d x + c) + (- 2a b + 5a b )cos(d x + c) +--R + +--R 3 5 5 3 7 3 5 5 3 +--R (- 2a b + 5a b )cos(d x + c) + 2a b - 3a b - 5a b +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R / +--R 6 5 8 3 10 3 +--R (4a b - 8a b + 4a b)d sin(d x + c) +--R + +--R 7 4 9 2 11 2 +--R (- 2a b + 4a b - 2a )d cos(d x + c) +--R + +--R 5 6 7 4 9 2 11 +--R (10a b - 18a b + 6a b + 2a )d +--R * +--R 2 +--R sin(d x + c) +--R + +--R 6 5 8 3 10 2 +--R (- 4a b + 8a b - 4a b)d cos(d x + c) +--R + +--R 4 7 6 5 10 +--R (8a b - 12a b + 4a b)d +--R * +--R sin(d x + c) +--R + +--R 5 6 7 4 9 2 2 +--R (- 2a b + 4a b - 2a b )d cos(d x + c) +--R + +--R 3 8 5 6 7 4 9 2 +--R (2a b - 2a b - 2a b + 2a b )d +--R * +--R +---------+ +-------+ +--R | 2 2 | 2 2 +--R \|- b + a \|b - a +--R Type: Expression Integer +--E 438 + +--S 439 of 528 +d0382b:= D(m0382b,x) +--R +--R +--R (401) +--R 6 7 8 5 8 +--R (- 6a b + 12a b )sin(d x + c) +--R + +--R 7 6 9 4 2 7 6 9 4 +--R (- 3a b + 6a b )cos(d x + c) + (- 12a b + 24a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 +--R - 21a b + 33a b + 6a b +--R * +--R 7 +--R sin(d x + c) +--R + +--R 8 5 10 3 3 +--R (- 6a b + 12a b )cos(d x + c) +--R + +--R 6 7 8 5 10 3 2 +--R (- 21a b + 33a b + 36a b )cos(d x + c) +--R + +--R 6 7 8 5 10 3 4 9 6 7 +--R (- 22a b + 34a b + 60a b )cos(d x + c) - 41a b + 78a b +--R + +--R 8 5 10 3 +--R - 55a b + 36a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 7 6 9 4 11 2 4 +--R (- 5a b + 11a b - 6a b )cos(d x + c) +--R + +--R 7 6 9 4 11 2 3 +--R (- 68a b + 146a b - 48a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 2 +--R (- 23a b - 20a b + 202a b - 36a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 3 10 +--R (20a b - 50a b + 162a b + 48a b )cos(d x + c) - 52a b +--R + +--R 5 8 7 6 9 4 11 2 +--R 154a b - 197a b + 95a b + 42a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 8 5 10 3 12 5 +--R (4a b - 10a b + 12a b)cos(d x + c) +--R + +--R 6 7 8 5 10 3 12 4 +--R (- 37a b + 77a b - 4a b + 12a b)cos(d x + c) +--R + +--R 6 7 8 5 10 3 12 3 +--R (- 162a b + 358a b - 136a b - 24a b)cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 12 2 +--R (- 19a b - 85a b + 312a b - 148a b - 24a b)cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 12 +--R (78a b - 118a b + 122a b + 146a b + 12a b)cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 12 +--R - 38a b + 187a b - 258a b + 95a b + 152a b + 12a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 7 6 9 4 11 2 6 +--R (a b - a b - 6a b )cos(d x + c) +--R + +--R 7 6 9 4 11 2 5 +--R (- 20a b + 32a b + 36a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 4 +--R (- 25a b + 32a b + 101a b + 54a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 3 +--R (- 160a b + 380a b - 184a b - 72a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 2 +--R (- 34a b - 63a b + 275a b - 319a b - 90a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 +--R (72a b - 68a b - 12a b + 152a b + 36a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 11 2 +--R - 14a b + 141a b - 182a b + 40a b + 219a b + 42a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 8 5 10 3 7 +--R (6a b - 12a b )cos(d x + c) +--R + +--R 6 7 8 5 10 3 6 +--R (- 21a b + 48a b - 30a b )cos(d x + c) +--R + +--R 6 7 8 5 10 3 5 +--R (- 54a b + 102a b + 60a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 4 +--R (15a b - 47a b + 116a b + 114a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 3 +--R (- 72a b + 208a b - 166a b - 84a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 2 +--R (- 34a b - 27a b + 183a b - 320a b - 138a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 13 +--R (28a b - 8a b - 42a b + 58a b + 36a b )cos(d x + c) - 2b +--R + +--R 2 11 4 9 6 7 8 5 10 3 +--R 67a b - 74a b - 3a b + 156a b + 54a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 7 6 9 4 8 7 6 9 4 7 +--R (3a b - 6a b )cos(d x + c) + (8a b - 20a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 6 +--R (- 23a b + 55a b - 20a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 5 +--R (- 40a b + 84a b + 52a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 4 +--R (18a b - 35a b + 31a b + 88a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 3 +--R (- 12a b + 62a b - 96a b - 44a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 2 +--R (- 14a b - 13a b + 79a b - 143a b - 92a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 12 +--R (4a b + 2a b - 10a b + 4a b + 12a b )cos(d x + c) + 18a b +--R + +--R 3 10 5 8 7 6 9 4 +--R - 15a b - 9a b + 54a b + 30a b +--R * +--R sin(d x + c) +--R + +--R 6 7 8 5 8 6 7 8 5 7 +--R (a b - 4a b )cos(d x + c) + (2a b - 8a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 6 +--R (- 7a b + 18a b - 2a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 5 +--R (- 10a b + 24a b + 16a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 4 +--R (4a b - 4a b - 4a b + 22a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 3 +--R (10a b - 26a b - 8a b )cos(d x + c) +--R + +--R 13 2 11 4 9 6 7 8 5 2 13 +--R (- 2b - 3a b + 13a b - 22a b - 22a b )cos(d x + c) + 2b +--R + +--R 2 11 4 9 6 7 8 5 +--R - a b - 2a b + 7a b + 6a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 7 6 9 4 8 +--R (- 12a b + 24a b )sin(d x + c) +--R + +--R 8 5 10 3 2 +--R (- 6a b + 12a b )cos(d x + c) +--R + +--R 8 5 10 3 6 7 8 5 10 3 +--R (- 24a b + 48a b )cos(d x + c) - 58a b + 106a b - 36a b +--R * +--R 7 +--R sin(d x + c) +--R + +--R 9 4 11 2 3 +--R (- 12a b + 24a b )cos(d x + c) +--R + +--R 7 6 9 4 11 2 2 +--R (- 26a b + 26a b + 120a b )cos(d x + c) +--R + +--R 7 6 9 4 11 2 5 8 7 6 +--R (- 76a b + 148a b + 24a b )cos(d x + c) - 146a b + 268a b +--R + +--R 9 4 11 2 +--R - 182a b - 72a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 8 5 10 3 12 4 +--R (- 14a b + 32a b - 24a b)cos(d x + c) +--R + +--R 8 5 10 3 3 +--R (- 104a b + 212a b )cos(d x + c) +--R + +--R 6 7 8 5 10 3 12 2 +--R (- 6a b - 100a b + 424a b + 48a b)cos(d x + c) +--R + +--R 6 7 8 5 10 3 4 9 6 7 +--R (- 120a b + 268a b - 76a b )cos(d x + c) - 204a b + 358a b +--R + +--R 8 5 10 3 12 +--R - 230a b - 320a b - 24a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 7 6 9 4 11 2 4 +--R (- 70a b + 136a b + 24a b )cos(d x + c) +--R + +--R 7 6 9 4 11 2 3 +--R (- 180a b + 372a b + 120a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 2 +--R (- 30a b - 54a b + 324a b + 72a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 3 10 +--R (- 172a b + 440a b - 388a b - 120a b )cos(d x + c) - 152a b +--R + +--R 5 8 7 6 9 4 11 2 +--R 228a b - 44a b - 476a b - 96a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 8 5 10 3 12 6 +--R (- 2a b + 8a b - 24a b)cos(d x + c) +--R + +--R 8 5 10 3 12 5 +--R (- 72a b + 144a b - 24a b)cos(d x + c) +--R + +--R 6 7 8 5 10 3 12 4 +--R (- 6a b - 66a b + 384a b + 48a b)cos(d x + c) +--R + +--R 6 7 8 5 10 3 12 3 +--R (- 64a b + 184a b + 240a b + 48a b)cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 12 2 +--R (- 128a b + 192a b + 2a b - 264a b - 24a b)cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 12 +--R (- 208a b + 488a b - 472a b - 384a b - 24a b)cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 +--R - 56a b + 60a b + 70a b - 294a b - 128a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 9 4 11 2 7 +--R (12a b - 24a b )cos(d x + c) +--R + +--R 7 6 9 4 11 2 6 +--R (- 54a b + 126a b - 96a b )cos(d x + c) +--R + +--R 7 6 9 4 11 2 5 +--R (- 156a b + 324a b - 24a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 4 +--R (98a b - 276a b + 466a b + 192a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 3 +--R (80a b - 48a b + 100a b + 120a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 2 +--R (- 136a b + 204a b + 2a b - 526a b - 96a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 +--R (- 152a b + 280a b - 196a b - 436a b - 72a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 +--R - 8a b + 4a b + 34a b - 72a b - 66a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 8 5 10 3 8 8 5 10 3 7 +--R (6a b - 12a b )cos(d x + c) + (16a b - 40a b )cos(d x + c) +--R + +--R 6 7 8 5 10 3 6 +--R (- 58a b + 140a b - 76a b )cos(d x + c) +--R + +--R 6 7 8 5 10 3 5 +--R (- 112a b + 248a b + 8a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 4 +--R (76a b - 166a b + 172a b + 188a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 3 +--R (72a b - 52a b - 64a b + 104a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 2 +--R (- 56a b + 60a b + 62a b - 308a b - 100a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 +--R (- 56a b + 68a b - 4a b - 200a b - 72a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 +--R 4a b - 6a b - 10a b +--R * +--R sin(d x + c) +--R + +--R 7 6 9 4 8 7 6 9 4 7 +--R (2a b - 8a b )cos(d x + c) + (4a b - 16a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 6 +--R (- 18a b + 46a b - 16a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 5 +--R (- 28a b + 68a b + 8a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 4 +--R (16a b - 24a b + 6a b + 56a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 3 +--R (16a b - 4a b - 44a b + 32a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 2 +--R (- 8a b + 4a b + 18a b - 54a b - 32a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 +--R (- 8a b + 4a b + 8a b - 28a b - 24a b )cos(d x + c) +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 6 7 8 5 8 +--R (- 6a b + 12a b )sin(d x + c) +--R + +--R 7 6 9 4 2 7 6 9 4 +--R (- 3a b + 6a b )cos(d x + c) + (- 12a b + 24a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 +--R - 21a b + 33a b + 6a b +--R * +--R 7 +--R sin(d x + c) +--R + +--R 8 5 10 3 3 +--R (- 6a b + 12a b )cos(d x + c) +--R + +--R 6 7 8 5 10 3 2 +--R (- 21a b + 33a b + 36a b )cos(d x + c) +--R + +--R 6 7 8 5 10 3 4 9 6 7 8 5 +--R (- 22a b + 34a b + 60a b )cos(d x + c) - 41a b + 78a b - 55a b +--R + +--R 10 3 +--R 36a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 7 6 9 4 11 2 4 +--R (- 5a b + 11a b - 6a b )cos(d x + c) +--R + +--R 7 6 9 4 11 2 3 +--R (- 68a b + 146a b - 48a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 2 +--R (- 23a b - 20a b + 202a b - 36a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 3 10 5 8 +--R (20a b - 50a b + 162a b + 48a b )cos(d x + c) - 52a b + 154a b +--R + +--R 7 6 9 4 11 2 +--R - 197a b + 95a b + 42a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 8 5 10 3 12 5 +--R (4a b - 10a b + 12a b)cos(d x + c) +--R + +--R 6 7 8 5 10 3 12 4 +--R (- 37a b + 77a b - 4a b + 12a b)cos(d x + c) +--R + +--R 6 7 8 5 10 3 12 3 +--R (- 162a b + 358a b - 136a b - 24a b)cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 12 2 +--R (- 19a b - 85a b + 312a b - 148a b - 24a b)cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 12 +--R (78a b - 118a b + 122a b + 146a b + 12a b)cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 12 +--R - 38a b + 187a b - 258a b + 95a b + 152a b + 12a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 7 6 9 4 11 2 6 +--R (a b - a b - 6a b )cos(d x + c) +--R + +--R 7 6 9 4 11 2 5 +--R (- 20a b + 32a b + 36a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 4 +--R (- 25a b + 32a b + 101a b + 54a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 11 2 3 +--R (- 160a b + 380a b - 184a b - 72a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 2 +--R (- 34a b - 63a b + 275a b - 319a b - 90a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 11 2 12 +--R (72a b - 68a b - 12a b + 152a b + 36a b )cos(d x + c) - 14a b +--R + +--R 3 10 5 8 7 6 9 4 11 2 +--R 141a b - 182a b + 40a b + 219a b + 42a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 8 5 10 3 7 +--R (6a b - 12a b )cos(d x + c) +--R + +--R 6 7 8 5 10 3 6 +--R (- 21a b + 48a b - 30a b )cos(d x + c) +--R + +--R 6 7 8 5 10 3 5 +--R (- 54a b + 102a b + 60a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 4 +--R (15a b - 47a b + 116a b + 114a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 10 3 3 +--R (- 72a b + 208a b - 166a b - 84a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 2 +--R (- 34a b - 27a b + 183a b - 320a b - 138a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 10 3 13 +--R (28a b - 8a b - 42a b + 58a b + 36a b )cos(d x + c) - 2b +--R + +--R 2 11 4 9 6 7 8 5 10 3 +--R 67a b - 74a b - 3a b + 156a b + 54a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 7 6 9 4 8 7 6 9 4 7 +--R (3a b - 6a b )cos(d x + c) + (8a b - 20a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 6 +--R (- 23a b + 55a b - 20a b )cos(d x + c) +--R + +--R 5 8 7 6 9 4 5 +--R (- 40a b + 84a b + 52a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 4 +--R (18a b - 35a b + 31a b + 88a b )cos(d x + c) +--R + +--R 3 10 5 8 7 6 9 4 3 +--R (- 12a b + 62a b - 96a b - 44a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 2 +--R (- 14a b - 13a b + 79a b - 143a b - 92a b )cos(d x + c) +--R + +--R 12 3 10 5 8 7 6 9 4 12 +--R (4a b + 2a b - 10a b + 4a b + 12a b )cos(d x + c) + 18a b +--R + +--R 3 10 5 8 7 6 9 4 +--R - 15a b - 9a b + 54a b + 30a b +--R * +--R sin(d x + c) +--R + +--R 6 7 8 5 8 6 7 8 5 7 +--R (a b - 4a b )cos(d x + c) + (2a b - 8a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 6 +--R (- 7a b + 18a b - 2a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 5 +--R (- 10a b + 24a b + 16a b )cos(d x + c) +--R + +--R 2 11 4 9 6 7 8 5 4 +--R (4a b - 4a b - 4a b + 22a b )cos(d x + c) +--R + +--R 4 9 6 7 8 5 3 +--R (10a b - 26a b - 8a b )cos(d x + c) +--R + +--R 13 2 11 4 9 6 7 8 5 2 13 2 11 +--R (- 2b - 3a b + 13a b - 22a b - 22a b )cos(d x + c) + 2b - a b +--R + +--R 4 9 6 7 8 5 +--R - 2a b + 7a b + 6a b +--R / +--R 8 8 10 6 12 4 7 +--R (8a b - 16a b + 8a b )sin(d x + c) +--R + +--R 9 7 11 5 13 3 2 +--R (- 8a b + 16a b - 8a b )cos(d x + c) +--R + +--R 9 7 11 5 13 3 7 9 9 7 +--R (16a b - 32a b + 16a b )cos(d x + c) + 32a b - 40a b +--R + +--R 11 5 13 3 +--R - 16a b + 24a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 10 6 12 4 14 2 4 +--R (2a b - 4a b + 2a b )cos(d x + c) +--R + +--R 10 6 12 4 14 2 3 +--R (- 16a b + 32a b - 16a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 2 +--R (- 20a b + 20a b + 20a b - 20a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 6 10 +--R (80a b - 144a b + 48a b + 16a b )cos(d x + c) + 50a b +--R + +--R 10 6 12 4 14 2 +--R - 132a b + 64a b + 18a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 11 5 13 3 15 5 +--R (4a b - 8a b + 4a b)cos(d x + c) +--R + +--R 9 7 11 5 13 3 15 4 +--R (- 2a b + 8a b - 10a b + 4a b)cos(d x + c) +--R + +--R 9 7 11 5 13 3 15 3 +--R (- 72a b + 136a b - 56a b - 8a b)cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 15 2 +--R (- 4a b - 60a b + 124a b - 52a b - 8a b)cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 15 +--R (164a b - 256a b + 24a b + 64a b + 4a b)cos(d x + c) +--R + +--R 5 11 7 9 9 7 11 5 13 3 15 +--R 38a b + 92a b - 228a b + 32a b + 62a b + 4a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 10 6 12 4 14 2 6 +--R (2a b - 4a b + 2a b )cos(d x + c) +--R + +--R 10 6 12 4 14 2 5 +--R (16a b - 32a b + 16a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 4 +--R (- 22a b + 54a b - 42a b + 10a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 3 +--R (- 128a b + 224a b - 64a b - 32a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 14 2 2 +--R (30a b - 144a b + 172a b - 32a b - 26a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 14 2 +--R (176a b - 224a b - 64a b + 96a b + 16a b )cos(d x + c) +--R + +--R 4 12 6 10 8 8 10 6 12 4 14 2 +--R 14a b + 118a b - 172a b - 52a b + 78a b + 14a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 9 7 11 5 13 3 6 +--R (6a b - 12a b + 6a b )cos(d x + c) +--R + +--R 9 7 11 5 13 3 5 +--R (24a b - 48a b + 24a b )cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 4 +--R (- 34a b + 74a b - 46a b + 6a b )cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 3 +--R (- 112a b + 176a b - 16a b - 48a b )cos(d x + c) +--R + +--R 5 11 7 9 9 7 11 5 13 3 2 +--R (34a b - 112a b + 92a b + 16a b - 30a b )cos(d x + c) +--R + +--R 5 11 7 9 9 7 11 5 13 3 +--R (104a b - 96a b - 96a b + 64a b + 24a b )cos(d x + c) +--R + +--R 3 13 5 11 7 9 9 7 11 5 13 3 +--R 2a b + 66a b - 60a b - 68a b + 42a b + 18a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 8 8 10 6 12 4 6 +--R (6a b - 12a b + 6a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 5 +--R (16a b - 32a b + 16a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 4 +--R (- 20a b + 38a b - 16a b - 2a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 3 +--R (- 48a b + 64a b + 16a b - 32a b )cos(d x + c) +--R + +--R 4 12 6 10 8 8 10 6 12 4 2 +--R (14a b - 36a b + 16a b + 20a b - 14a b )cos(d x + c) +--R + +--R 4 12 6 10 8 8 10 6 12 4 +--R (32a b - 16a b - 48a b + 16a b + 16a b )cos(d x + c) +--R + +--R 4 12 6 10 8 8 10 6 12 4 +--R 18a b - 8a b - 28a b + 8a b + 10a b +--R * +--R sin(d x + c) +--R + +--R 7 9 9 7 11 5 6 +--R (2a b - 4a b + 2a b )cos(d x + c) +--R + +--R 7 9 9 7 11 5 5 +--R (4a b - 8a b + 4a b )cos(d x + c) +--R + +--R 5 11 7 9 11 5 4 +--R (- 4a b + 6a b - 2a b )cos(d x + c) +--R + +--R 5 11 7 9 9 7 11 5 3 +--R (- 8a b + 8a b + 8a b - 8a b )cos(d x + c) +--R + +--R 3 13 5 11 9 7 11 5 2 +--R (2a b - 4a b + 4a b - 2a b )cos(d x + c) +--R + +--R 3 13 7 9 11 5 3 13 7 9 11 5 +--R (4a b - 8a b + 4a b )cos(d x + c) + 2a b - 4a b + 2a b +--R * +--R d x + c 2 +--R tan(-------) +--R 2 +--R + +--R 9 7 11 5 13 3 7 +--R (16a b - 32a b + 16a b )sin(d x + c) +--R + +--R 10 6 12 4 14 2 2 +--R (- 16a b + 32a b - 16a b )cos(d x + c) +--R + +--R 10 6 12 4 14 2 8 8 10 6 +--R (32a b - 64a b + 32a b )cos(d x + c) + 64a b - 80a b +--R + +--R 12 4 14 2 +--R - 32a b + 48a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 11 5 13 3 15 4 +--R (4a b - 8a b + 4a b)cos(d x + c) +--R + +--R 11 5 13 3 15 3 +--R (- 32a b + 64a b - 32a b)cos(d x + c) +--R + +--R 9 7 11 5 13 3 15 2 +--R (- 40a b + 40a b + 40a b - 40a b)cos(d x + c) +--R + +--R 9 7 11 5 13 3 15 7 9 +--R (160a b - 288a b + 96a b + 32a b)cos(d x + c) + 100a b +--R + +--R 11 5 13 3 15 +--R - 264a b + 128a b + 36a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 12 4 14 2 16 5 +--R (8a b - 16a b + 8a )cos(d x + c) +--R + +--R 10 6 12 4 14 2 16 4 +--R (- 4a b + 16a b - 20a b + 8a )cos(d x + c) +--R + +--R 10 6 12 4 14 2 16 3 +--R (- 144a b + 272a b - 112a b - 16a )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 16 2 +--R (- 8a b - 120a b + 248a b - 104a b - 16a )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 16 +--R (328a b - 512a b + 48a b + 128a b + 8a )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 14 2 16 +--R 76a b + 184a b - 456a b + 64a b + 124a b + 8a +--R * +--R 4 +--R sin(d x + c) +--R + +--R 11 5 13 3 15 6 +--R (4a b - 8a b + 4a b)cos(d x + c) +--R + +--R 11 5 13 3 15 5 +--R (32a b - 64a b + 32a b)cos(d x + c) +--R + +--R 9 7 11 5 13 3 15 4 +--R (- 44a b + 108a b - 84a b + 20a b)cos(d x + c) +--R + +--R 9 7 11 5 13 3 15 3 +--R (- 256a b + 448a b - 128a b - 64a b)cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 15 2 +--R (60a b - 288a b + 344a b - 64a b - 52a b)cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 15 +--R (352a b - 448a b - 128a b + 192a b + 32a b)cos(d x + c) +--R + +--R 5 11 7 9 9 7 11 5 13 3 15 +--R 28a b + 236a b - 344a b - 104a b + 156a b + 28a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 10 6 12 4 14 2 6 +--R (12a b - 24a b + 12a b )cos(d x + c) +--R + +--R 10 6 12 4 14 2 5 +--R (48a b - 96a b + 48a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 4 +--R (- 68a b + 148a b - 92a b + 12a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 3 +--R (- 224a b + 352a b - 32a b - 96a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 14 2 2 +--R (68a b - 224a b + 184a b + 32a b - 60a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 14 2 +--R (208a b - 192a b - 192a b + 128a b + 48a b )cos(d x + c) +--R + +--R 4 12 6 10 8 8 10 6 12 4 14 2 +--R 4a b + 132a b - 120a b - 136a b + 84a b + 36a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 9 7 11 5 13 3 6 +--R (12a b - 24a b + 12a b )cos(d x + c) +--R + +--R 9 7 11 5 13 3 5 +--R (32a b - 64a b + 32a b )cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 4 +--R (- 40a b + 76a b - 32a b - 4a b )cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 3 +--R (- 96a b + 128a b + 32a b - 64a b )cos(d x + c) +--R + +--R 5 11 7 9 9 7 11 5 13 3 2 +--R (28a b - 72a b + 32a b + 40a b - 28a b )cos(d x + c) +--R + +--R 5 11 7 9 9 7 11 5 13 3 +--R (64a b - 32a b - 96a b + 32a b + 32a b )cos(d x + c) +--R + +--R 5 11 7 9 9 7 11 5 13 3 +--R 36a b - 16a b - 56a b + 16a b + 20a b +--R * +--R sin(d x + c) +--R + +--R 8 8 10 6 12 4 6 +--R (4a b - 8a b + 4a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 5 +--R (8a b - 16a b + 8a b )cos(d x + c) +--R + +--R 6 10 8 8 12 4 4 +--R (- 8a b + 12a b - 4a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 3 +--R (- 16a b + 16a b + 16a b - 16a b )cos(d x + c) +--R + +--R 4 12 6 10 10 6 12 4 2 +--R (4a b - 8a b + 8a b - 4a b )cos(d x + c) +--R + +--R 4 12 8 8 12 4 4 12 8 8 12 4 +--R (8a b - 16a b + 8a b )cos(d x + c) + 4a b - 8a b + 4a b +--R * +--R d x + c +--R tan(-------) +--R 2 +--R + +--R 8 8 10 6 12 4 7 +--R (8a b - 16a b + 8a b )sin(d x + c) +--R + +--R 9 7 11 5 13 3 2 +--R (- 8a b + 16a b - 8a b )cos(d x + c) +--R + +--R 9 7 11 5 13 3 7 9 9 7 11 5 +--R (16a b - 32a b + 16a b )cos(d x + c) + 32a b - 40a b - 16a b +--R + +--R 13 3 +--R 24a b +--R * +--R 6 +--R sin(d x + c) +--R + +--R 10 6 12 4 14 2 4 +--R (2a b - 4a b + 2a b )cos(d x + c) +--R + +--R 10 6 12 4 14 2 3 +--R (- 16a b + 32a b - 16a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 2 +--R (- 20a b + 20a b + 20a b - 20a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 6 10 +--R (80a b - 144a b + 48a b + 16a b )cos(d x + c) + 50a b +--R + +--R 10 6 12 4 14 2 +--R - 132a b + 64a b + 18a b +--R * +--R 5 +--R sin(d x + c) +--R + +--R 11 5 13 3 15 5 +--R (4a b - 8a b + 4a b)cos(d x + c) +--R + +--R 9 7 11 5 13 3 15 4 +--R (- 2a b + 8a b - 10a b + 4a b)cos(d x + c) +--R + +--R 9 7 11 5 13 3 15 3 +--R (- 72a b + 136a b - 56a b - 8a b)cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 15 2 +--R (- 4a b - 60a b + 124a b - 52a b - 8a b)cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 15 5 11 +--R (164a b - 256a b + 24a b + 64a b + 4a b)cos(d x + c) + 38a b +--R + +--R 7 9 9 7 11 5 13 3 15 +--R 92a b - 228a b + 32a b + 62a b + 4a b +--R * +--R 4 +--R sin(d x + c) +--R + +--R 10 6 12 4 14 2 6 +--R (2a b - 4a b + 2a b )cos(d x + c) +--R + +--R 10 6 12 4 14 2 5 +--R (16a b - 32a b + 16a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 4 +--R (- 22a b + 54a b - 42a b + 10a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 14 2 3 +--R (- 128a b + 224a b - 64a b - 32a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 14 2 2 +--R (30a b - 144a b + 172a b - 32a b - 26a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 14 2 +--R (176a b - 224a b - 64a b + 96a b + 16a b )cos(d x + c) +--R + +--R 4 12 6 10 8 8 10 6 12 4 14 2 +--R 14a b + 118a b - 172a b - 52a b + 78a b + 14a b +--R * +--R 3 +--R sin(d x + c) +--R + +--R 9 7 11 5 13 3 6 +--R (6a b - 12a b + 6a b )cos(d x + c) +--R + +--R 9 7 11 5 13 3 5 +--R (24a b - 48a b + 24a b )cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 4 +--R (- 34a b + 74a b - 46a b + 6a b )cos(d x + c) +--R + +--R 7 9 9 7 11 5 13 3 3 +--R (- 112a b + 176a b - 16a b - 48a b )cos(d x + c) +--R + +--R 5 11 7 9 9 7 11 5 13 3 2 +--R (34a b - 112a b + 92a b + 16a b - 30a b )cos(d x + c) +--R + +--R 5 11 7 9 9 7 11 5 13 3 3 13 +--R (104a b - 96a b - 96a b + 64a b + 24a b )cos(d x + c) + 2a b +--R + +--R 5 11 7 9 9 7 11 5 13 3 +--R 66a b - 60a b - 68a b + 42a b + 18a b +--R * +--R 2 +--R sin(d x + c) +--R + +--R 8 8 10 6 12 4 6 +--R (6a b - 12a b + 6a b )cos(d x + c) +--R + +--R 8 8 10 6 12 4 5 +--R (16a b - 32a b + 16a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 4 +--R (- 20a b + 38a b - 16a b - 2a b )cos(d x + c) +--R + +--R 6 10 8 8 10 6 12 4 3 +--R (- 48a b + 64a b + 16a b - 32a b )cos(d x + c) +--R + +--R 4 12 6 10 8 8 10 6 12 4 2 +--R (14a b - 36a b + 16a b + 20a b - 14a b )cos(d x + c) +--R + +--R 4 12 6 10 8 8 10 6 12 4 +--R (32a b - 16a b - 48a b + 16a b + 16a b )cos(d x + c) +--R + +--R 4 12 6 10 8 8 10 6 12 4 +--R 18a b - 8a b - 28a b + 8a b + 10a b +--R * +--R sin(d x + c) +--R + +--R 7 9 9 7 11 5 6 +--R (2a b - 4a b + 2a b )cos(d x + c) +--R + +--R 7 9 9 7 11 5 5 +--R (4a b - 8a b + 4a b )cos(d x + c) +--R + +--R 5 11 7 9 11 5 4 +--R (- 4a b + 6a b - 2a b )cos(d x + c) +--R + +--R 5 11 7 9 9 7 11 5 3 +--R (- 8a b + 8a b + 8a b - 8a b )cos(d x + c) +--R + +--R 3 13 5 11 9 7 11 5 2 +--R (2a b - 4a b + 4a b - 2a b )cos(d x + c) +--R + +--R 3 13 7 9 11 5 3 13 7 9 11 5 +--R (4a b - 8a b + 4a b )cos(d x + c) + 2a b - 4a b + 2a b +--R Type: Expression Integer +--E 439 + +--S 440 of 528 +t0383:= (1+csc(x)^2)^(1/2) +--R +--R +--R +-----------+ +--R | 2 +--R (402) \|csc(x) + 1 +--R Type: Expression Integer +--E 440 + +--S 441 of 528 +r0383:= -asinh(1/2*2^(1/2)*cot(x))-atan(cot(x)/(2+cot(x)^2)^(1/2)) +--R +--R +--R +-+ +--R cot(x) \|2 cot(x) +--R (403) - atan(--------------) - asinh(----------) +--R +-----------+ 2 +--R | 2 +--R \|cot(x) + 2 +--R Type: Expression Integer +--E 441 + +--S 442 of 528 +a0383:= integrate(t0383,x) +--R +--R +--R (404) +--R - +--R log +--R +---------------------+ +--R | 2 +--R 2 | - 4cos(x) + 8 +--R ((cos(x) + 1)sin(x) + cos(x) + cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 +--R 2cos(x)sin(x) - 2cos(x) + 4 +--R + +--R log +--R +---------------------+ +--R | 2 +--R 2 | - 4cos(x) + 8 +--R ((cos(x) + 1)sin(x) - cos(x) - cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 +--R - 2cos(x)sin(x) - 2cos(x) + 4 +--R + +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 2 +--R (cos(x) + 1)sin(x) |--------------------- - 2cos(x) + 2 +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R - atan(----------------------------------------------------------) +--R +---------------------+ +--R | 2 +--R 2 | - 4cos(x) + 8 +--R (cos(x) + cos(x)) |--------------------- + 2cos(x)sin(x) +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R - +--R atan +--R 4 3 2 +--R (2cos(x) + 2cos(x) - 2cos(x) - 2cos(x)) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 +--R (4cos(x) - 6cos(x))sin(x) +--R / +--R 3 2 +--R (2cos(x) + 2cos(x) - cos(x) - 1)sin(x) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 4 2 +--R - 4cos(x) + 8cos(x) - 2 +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 442 + +--S 443 of 528 +m0383:= a0383-r0383 +--R +--R +--R (405) +--R - +--R log +--R +---------------------+ +--R | 2 +--R 2 | - 4cos(x) + 8 +--R ((cos(x) + 1)sin(x) + cos(x) + cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 +--R 2cos(x)sin(x) - 2cos(x) + 4 +--R + +--R log +--R +---------------------+ +--R | 2 +--R 2 | - 4cos(x) + 8 +--R ((cos(x) + 1)sin(x) - cos(x) - cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 +--R - 2cos(x)sin(x) - 2cos(x) + 4 +--R + +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 2 +--R (cos(x) + 1)sin(x) |--------------------- - 2cos(x) + 2 +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R - atan(----------------------------------------------------------) +--R +---------------------+ +--R | 2 +--R 2 | - 4cos(x) + 8 +--R (cos(x) + cos(x)) |--------------------- + 2cos(x)sin(x) +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R - +--R atan +--R 4 3 2 +--R (2cos(x) + 2cos(x) - 2cos(x) - 2cos(x)) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 +--R (4cos(x) - 6cos(x))sin(x) +--R / +--R 3 2 +--R (2cos(x) + 2cos(x) - cos(x) - 1)sin(x) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 4 2 +--R - 4cos(x) + 8cos(x) - 2 +--R + +--R +-+ +--R cot(x) \|2 cot(x) +--R 2atan(--------------) + 2asinh(----------) +--R +-----------+ 2 +--R | 2 +--R \|cot(x) + 2 +--R / +--R 2 +--R Type: Expression Integer +--E 443 + +--S 444 of 528 +d0383:= D(m0383,x) +--R +--R +--R (406) +--R 7 6 5 4 3 +--R - 16cos(x) - 16cos(x) + 48cos(x) + 48cos(x) - 36cos(x) +--R + +--R 2 +--R - 36cos(x) + 8cos(x) + 8 +--R * +--R 11 +--R sin(x) +--R + +--R 9 8 7 6 +--R 448cos(x) + 448cos(x) - 2144cos(x) - 2144cos(x) +--R + +--R 5 4 3 2 +--R 3356cos(x) + 3356cos(x) - 1892cos(x) - 1892cos(x) +--R + +--R 348cos(x) + 348 +--R * +--R 9 +--R sin(x) +--R + +--R 11 10 9 8 +--R - 1120cos(x) - 1120cos(x) + 7616cos(x) + 7616cos(x) +--R + +--R 7 6 5 4 +--R - 19008cos(x) - 19008cos(x) + 20892cos(x) + 20892cos(x) +--R + +--R 3 2 +--R - 9501cos(x) - 9501cos(x) + 1486cos(x) + 1486 +--R * +--R 7 +--R sin(x) +--R + +--R 13 12 11 10 +--R 448cos(x) + 448cos(x) - 4256cos(x) - 4256cos(x) +--R + +--R 9 8 7 6 +--R 15648cos(x) + 15648cos(x) - 27900cos(x) - 27900cos(x) +--R + +--R 5 4 3 2 +--R 24494cos(x) + 24494cos(x) - 9456cos(x) - 9456cos(x) +--R + +--R 1289cos(x) + 1289 +--R * +--R 5 +--R sin(x) +--R + +--R 15 14 13 12 +--R - 16cos(x) - 16cos(x) + 272cos(x) + 272cos(x) +--R + +--R 11 10 9 8 +--R - 1628cos(x) - 1628cos(x) + 4700cos(x) + 4700cos(x) +--R + +--R 7 6 5 4 +--R - 7101cos(x) - 7101cos(x) + 5466cos(x) + 5466cos(x) +--R + +--R 3 2 +--R - 1874cos(x) - 1874cos(x) + 228cos(x) + 228 +--R * +--R 3 +--R sin(x) +--R + +--R 13 12 11 10 9 +--R 4cos(x) + 4cos(x) - 32cos(x) - 32cos(x) + 100cos(x) +--R + +--R 8 7 6 5 +--R 100cos(x) - 152cos(x) - 152cos(x) + 113cos(x) +--R + +--R 4 3 2 +--R 113cos(x) - 36cos(x) - 36cos(x) + 4cos(x) + 4 +--R * +--R sin(x) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 8 6 4 2 10 +--R (256cos(x) - 1248cos(x) + 2000cos(x) - 1168cos(x) + 224)sin(x) +--R + +--R 10 8 6 4 +--R - 1792cos(x) + 12096cos(x) - 30144cos(x) + 33400cos(x) +--R + +--R 2 +--R - 15584cos(x) + 2528 +--R * +--R 8 +--R sin(x) +--R + +--R 12 10 8 6 +--R 1792cos(x) - 16128cos(x) + 56960cos(x) - 98888cos(x) +--R + +--R 4 2 +--R 85936cos(x) - 33660cos(x) + 4728 +--R * +--R 6 +--R sin(x) +--R + +--R 14 12 10 8 +--R - 256cos(x) + 3264cos(x) - 16512cos(x) + 42760cos(x) +--R + +--R 6 4 2 +--R - 60216cos(x) + 44632cos(x) - 15304cos(x) + 1904 +--R * +--R 4 +--R sin(x) +--R + +--R 14 12 10 8 +--R - 32cos(x) + 368cos(x) - 1704cos(x) + 4072cos(x) +--R + +--R 6 4 2 +--R - 5308cos(x) + 3632cos(x) - 1136cos(x) + 128 +--R * +--R 2 +--R sin(x) +--R * +--R +-----------+ +--R | 2 +--R \|cot(x) + 2 +--R + +--R 9 8 7 6 +--R - 128cos(x) - 128cos(x) + 496cos(x) + 496cos(x) +--R + +--R 5 4 3 2 +--R - 632cos(x) - 632cos(x) + 320cos(x) + 320cos(x) +--R + +--R - 56cos(x) - 56 +--R * +--R 2 +--R cot(x) +--R + +--R 9 8 7 6 5 +--R - 256cos(x) - 256cos(x) + 992cos(x) + 992cos(x) - 1264cos(x) +--R + +--R 4 3 2 +--R - 1264cos(x) + 640cos(x) + 640cos(x) - 112cos(x) - 112 +--R * +--R 9 +--R sin(x) +--R + +--R 11 10 9 8 +--R 896cos(x) + 896cos(x) - 5152cos(x) - 5152cos(x) +--R + +--R 7 6 5 4 +--R 10816cos(x) + 10816cos(x) - 10140cos(x) - 10140cos(x) +--R + +--R 3 2 +--R 4212cos(x) + 4212cos(x) - 632cos(x) - 632 +--R * +--R 2 +--R cot(x) +--R + +--R 11 10 9 8 +--R 1792cos(x) + 1792cos(x) - 10304cos(x) - 10304cos(x) +--R + +--R 7 6 5 4 +--R 21632cos(x) + 21632cos(x) - 20280cos(x) - 20280cos(x) +--R + +--R 3 2 +--R 8424cos(x) + 8424cos(x) - 1264cos(x) - 1264 +--R * +--R 7 +--R sin(x) +--R + +--R 13 12 11 10 +--R - 896cos(x) - 896cos(x) + 7168cos(x) + 7168cos(x) +--R + +--R 9 8 7 6 +--R - 22208cos(x) - 22208cos(x) + 33508cos(x) + 33508cos(x) +--R + +--R 5 4 3 2 +--R - 25396cos(x) - 25396cos(x) + 9006cos(x) + 9006cos(x) +--R + +--R - 1182cos(x) - 1182 +--R * +--R 2 +--R cot(x) +--R + +--R 13 12 11 10 +--R - 1792cos(x) - 1792cos(x) + 14336cos(x) + 14336cos(x) +--R + +--R 9 8 7 6 +--R - 44416cos(x) - 44416cos(x) + 67016cos(x) + 67016cos(x) +--R + +--R 5 4 3 2 +--R - 50792cos(x) - 50792cos(x) + 18012cos(x) + 18012cos(x) +--R + +--R - 2364cos(x) - 2364 +--R * +--R 5 +--R sin(x) +--R + +--R 15 14 13 12 +--R 128cos(x) + 128cos(x) - 1504cos(x) - 1504cos(x) +--R + +--R 11 10 9 8 +--R 6880cos(x) + 6880cos(x) - 15876cos(x) - 15876cos(x) +--R + +--R 7 6 5 4 +--R 19736cos(x) + 19736cos(x) - 12952cos(x) - 12952cos(x) +--R + +--R 3 2 +--R 4064cos(x) + 4064cos(x) - 476cos(x) - 476 +--R * +--R 2 +--R cot(x) +--R + +--R 15 14 13 12 +--R 256cos(x) + 256cos(x) - 3008cos(x) - 3008cos(x) +--R + +--R 11 10 9 8 +--R 13760cos(x) + 13760cos(x) - 31752cos(x) - 31752cos(x) +--R + +--R 7 6 5 4 +--R 39472cos(x) + 39472cos(x) - 25904cos(x) - 25904cos(x) +--R + +--R 3 2 +--R 8128cos(x) + 8128cos(x) - 952cos(x) - 952 +--R * +--R 3 +--R sin(x) +--R + +--R 15 14 13 12 +--R 16cos(x) + 16cos(x) - 168cos(x) - 168cos(x) +--R + +--R 11 10 9 8 +--R 700cos(x) + 700cos(x) - 1488cos(x) - 1488cos(x) +--R + +--R 7 6 5 4 +--R 1714cos(x) + 1714cos(x) - 1042cos(x) - 1042cos(x) +--R + +--R 3 2 +--R 300cos(x) + 300cos(x) - 32cos(x) - 32 +--R * +--R 2 +--R cot(x) +--R + +--R 15 14 13 12 +--R 32cos(x) + 32cos(x) - 336cos(x) - 336cos(x) +--R + +--R 11 10 9 8 +--R 1400cos(x) + 1400cos(x) - 2976cos(x) - 2976cos(x) +--R + +--R 7 6 5 4 +--R 3428cos(x) + 3428cos(x) - 2084cos(x) - 2084cos(x) +--R + +--R 3 2 +--R 600cos(x) + 600cos(x) - 64cos(x) - 64 +--R * +--R sin(x) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 8 6 4 2 2 +--R (- 32cos(x) + 128cos(x) - 168cos(x) + 88cos(x) - 16)cot(x) +--R + +--R 8 6 4 2 +--R - 64cos(x) + 256cos(x) - 336cos(x) + 176cos(x) - 32 +--R * +--R 10 +--R sin(x) +--R + +--R 10 8 6 4 +--R 896cos(x) - 5184cos(x) + 11000cos(x) - 10496cos(x) +--R + +--R 2 +--R 4480cos(x) - 696 +--R * +--R 2 +--R cot(x) +--R + +--R 10 8 6 4 +--R 1792cos(x) - 10368cos(x) + 22000cos(x) - 20992cos(x) +--R + +--R 2 +--R 8960cos(x) - 1392 +--R * +--R 8 +--R sin(x) +--R + +--R 12 10 8 6 +--R - 2240cos(x) + 17472cos(x) - 53248cos(x) + 79800cos(x) +--R + +--R 4 2 +--R - 60786cos(x) + 21974cos(x) - 2972 +--R * +--R 2 +--R cot(x) +--R + +--R 12 10 8 6 +--R - 4480cos(x) + 34944cos(x) - 106496cos(x) + 159600cos(x) +--R + +--R 4 2 +--R - 121572cos(x) + 43948cos(x) - 5944 +--R * +--R 6 +--R sin(x) +--R + +--R 14 12 10 8 +--R 896cos(x) - 9408cos(x) + 39808cos(x) - 87096cos(x) +--R + +--R 6 4 2 +--R 104788cos(x) - 67900cos(x) + 21490cos(x) - 2578 +--R * +--R 2 +--R cot(x) +--R + +--R 14 12 10 8 +--R 1792cos(x) - 18816cos(x) + 79616cos(x) - 174192cos(x) +--R + +--R 6 4 2 +--R 209576cos(x) - 135800cos(x) + 42980cos(x) - 5156 +--R * +--R 4 +--R sin(x) +--R + +--R 16 14 12 10 +--R - 32cos(x) + 576cos(x) - 3800cos(x) + 12656cos(x) +--R + +--R 8 6 4 2 +--R - 23602cos(x) + 25134cos(x) - 14680cos(x) + 4204cos(x) - 456 +--R * +--R 2 +--R cot(x) +--R + +--R 16 14 12 10 +--R - 64cos(x) + 1152cos(x) - 7600cos(x) + 25312cos(x) +--R + +--R 8 6 4 2 +--R - 47204cos(x) + 50268cos(x) - 29360cos(x) + 8408cos(x) - 912 +--R * +--R 2 +--R sin(x) +--R + +--R 14 12 10 8 6 +--R 8cos(x) - 72cos(x) + 264cos(x) - 504cos(x) + 530cos(x) +--R + +--R 4 2 +--R - 298cos(x) + 80cos(x) - 8 +--R * +--R 2 +--R cot(x) +--R + +--R 14 12 10 8 6 +--R 16cos(x) - 144cos(x) + 528cos(x) - 1008cos(x) + 1060cos(x) +--R + +--R 4 2 +--R - 596cos(x) + 160cos(x) - 16 +--R / +--R 9 8 7 6 5 +--R 128cos(x) + 128cos(x) - 496cos(x) - 496cos(x) + 632cos(x) +--R + +--R 4 3 2 +--R 632cos(x) - 320cos(x) - 320cos(x) + 56cos(x) + 56 +--R * +--R 9 +--R sin(x) +--R + +--R 11 10 9 8 +--R - 896cos(x) - 896cos(x) + 5152cos(x) + 5152cos(x) +--R + +--R 7 6 5 4 +--R - 10816cos(x) - 10816cos(x) + 10140cos(x) + 10140cos(x) +--R + +--R 3 2 +--R - 4212cos(x) - 4212cos(x) + 632cos(x) + 632 +--R * +--R 7 +--R sin(x) +--R + +--R 13 12 11 10 +--R 896cos(x) + 896cos(x) - 7168cos(x) - 7168cos(x) +--R + +--R 9 8 7 6 +--R 22208cos(x) + 22208cos(x) - 33508cos(x) - 33508cos(x) +--R + +--R 5 4 3 2 +--R 25396cos(x) + 25396cos(x) - 9006cos(x) - 9006cos(x) +--R + +--R 1182cos(x) + 1182 +--R * +--R 5 +--R sin(x) +--R + +--R 15 14 13 12 +--R - 128cos(x) - 128cos(x) + 1504cos(x) + 1504cos(x) +--R + +--R 11 10 9 8 +--R - 6880cos(x) - 6880cos(x) + 15876cos(x) + 15876cos(x) +--R + +--R 7 6 5 4 +--R - 19736cos(x) - 19736cos(x) + 12952cos(x) + 12952cos(x) +--R + +--R 3 2 +--R - 4064cos(x) - 4064cos(x) + 476cos(x) + 476 +--R * +--R 3 +--R sin(x) +--R + +--R 15 14 13 12 +--R - 16cos(x) - 16cos(x) + 168cos(x) + 168cos(x) +--R + +--R 11 10 9 8 +--R - 700cos(x) - 700cos(x) + 1488cos(x) + 1488cos(x) +--R + +--R 7 6 5 4 +--R - 1714cos(x) - 1714cos(x) + 1042cos(x) + 1042cos(x) +--R + +--R 3 2 +--R - 300cos(x) - 300cos(x) + 32cos(x) + 32 +--R * +--R sin(x) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 8 6 4 2 10 +--R (32cos(x) - 128cos(x) + 168cos(x) - 88cos(x) + 16)sin(x) +--R + +--R 10 8 6 4 +--R - 896cos(x) + 5184cos(x) - 11000cos(x) + 10496cos(x) +--R + +--R 2 +--R - 4480cos(x) + 696 +--R * +--R 8 +--R sin(x) +--R + +--R 12 10 8 6 +--R 2240cos(x) - 17472cos(x) + 53248cos(x) - 79800cos(x) +--R + +--R 4 2 +--R 60786cos(x) - 21974cos(x) + 2972 +--R * +--R 6 +--R sin(x) +--R + +--R 14 12 10 8 +--R - 896cos(x) + 9408cos(x) - 39808cos(x) + 87096cos(x) +--R + +--R 6 4 2 +--R - 104788cos(x) + 67900cos(x) - 21490cos(x) + 2578 +--R * +--R 4 +--R sin(x) +--R + +--R 16 14 12 10 +--R 32cos(x) - 576cos(x) + 3800cos(x) - 12656cos(x) +--R + +--R 8 6 4 2 +--R 23602cos(x) - 25134cos(x) + 14680cos(x) - 4204cos(x) + 456 +--R * +--R 2 +--R sin(x) +--R + +--R 14 12 10 8 6 +--R - 8cos(x) + 72cos(x) - 264cos(x) + 504cos(x) - 530cos(x) +--R + +--R 4 2 +--R 298cos(x) - 80cos(x) + 8 +--R * +--R +-----------+ +--R | 2 +--R \|cot(x) + 2 +--R Type: Expression Integer +--E 444 + +--S 445 of 528 +t0384:= (1-csc(x)^2)^(1/2) +--R +--R +--R +-------------+ +--R | 2 +--R (407) \|- csc(x) + 1 +--R Type: Expression Integer +--E 445 + +--S 446 of 528 +r0384:= (-cot(x)^2)^(1/2)*log(sin(x))*tan(x) +--R +--R +--R +---------+ +--R | 2 +--R (408) tan(x)log(sin(x))\|- cot(x) +--R Type: Expression Integer +--E 446 + +--S 447 of 528 +a0384:= integrate(t0384,x) +--R +--R +--R x x 3 x 3 x x +--R 2cos(-)sin(-) + (2cos(-) - 2cos(-))sin(-) +--R 2 2 2 2 2 +--R (409) - atan(-------------------------------------------) +--R x 4 x 2 x 4 x 2 +--R sin(-) - sin(-) - cos(-) - 3cos(-) +--R 2 2 2 2 +--R Type: Union(Expression Integer,...) +--E 447 + +--S 448 of 528 +m0384:= a0384-r0384 +--R +--R +--R (410) +--R +---------+ +--R | 2 +--R - tan(x)log(sin(x))\|- cot(x) +--R + +--R x x 3 x 3 x x +--R 2cos(-)sin(-) + (2cos(-) - 2cos(-))sin(-) +--R 2 2 2 2 2 +--R - atan(-------------------------------------------) +--R x 4 x 2 x 4 x 2 +--R sin(-) - sin(-) - cos(-) - 3cos(-) +--R 2 2 2 2 +--R Type: Expression Integer +--E 448 + +--S 449 of 528 +d0384:= D(m0384,x) +--R +--R +--R (411) +--R x 6 x 2 x 4 x 4 x 2 x 6 +--R sin(-) + (3cos(-) - 2)sin(-) + (3cos(-) + 1)sin(-) + cos(-) +--R 2 2 2 2 2 2 +--R + +--R x 4 x 2 +--R 2cos(-) - 3cos(-) +--R 2 2 +--R * +--R +---------+ +--R | 2 +--R sin(x)\|- cot(x) +--R + +--R 2 x 6 x 2 2 x 4 +--R cot(x) sin(-) + (3cos(-) - 2)cot(x) sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 2 x 2 +--R (3cos(-) - 12cos(-) + 1)cot(x) sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 2 +--R (cos(-) + 6cos(-) + 9cos(-) )cot(x) +--R 2 2 2 +--R * +--R 2 +--R sin(x)tan(x) +--R + +--R 3 x 6 +--R (- cot(x) - cot(x))sin(-) +--R 2 +--R + +--R x 2 3 x 2 x 4 +--R ((- 3cos(-) + 2)cot(x) + (- 3cos(-) + 2)cot(x))sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 3 +--R (- 3cos(-) + 12cos(-) - 1)cot(x) +--R 2 2 +--R + +--R x 4 x 2 +--R (- 3cos(-) + 12cos(-) - 1)cot(x) +--R 2 2 +--R * +--R x 2 +--R sin(-) +--R 2 +--R + +--R x 6 x 4 x 2 3 +--R (- cos(-) - 6cos(-) - 9cos(-) )cot(x) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R (- cos(-) - 6cos(-) - 9cos(-) )cot(x) +--R 2 2 2 +--R * +--R sin(x)tan(x) +--R + +--R 2 x 6 x 2 2 x 4 +--R cot(x) sin(-) + (3cos(-) - 2)cot(x) sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 2 x 2 +--R (3cos(-) - 12cos(-) + 1)cot(x) sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 2 +--R (cos(-) + 6cos(-) + 9cos(-) )cot(x) +--R 2 2 2 +--R * +--R sin(x) +--R * +--R log(sin(x)) +--R + +--R 2 x 6 x 2 2 x 4 +--R cos(x)cot(x) sin(-) + (3cos(-) - 2)cos(x)cot(x) sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 2 x 2 +--R (3cos(-) - 12cos(-) + 1)cos(x)cot(x) sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 2 +--R (cos(-) + 6cos(-) + 9cos(-) )cos(x)cot(x) +--R 2 2 2 +--R * +--R tan(x) +--R / +--R x 6 x 2 x 4 x 4 x 2 x 2 +--R sin(-) + (3cos(-) - 2)sin(-) + (3cos(-) - 12cos(-) + 1)sin(-) +--R 2 2 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R cos(-) + 6cos(-) + 9cos(-) +--R 2 2 2 +--R * +--R +---------+ +--R | 2 +--R sin(x)\|- cot(x) +--R Type: Expression Integer +--E 449 + +--S 450 of 528 +t0385:= (-1+csc(x)^2)^(1/2) +--R +--R +--R +-----------+ +--R | 2 +--R (412) \|csc(x) - 1 +--R Type: Expression Integer +--E 450 + +--S 451 of 528 +r0385:= (cot(x)^2)^(1/2)*log(sin(x))*tan(x) +--R +--R +--R +-------+ +--R | 2 +--R (413) tan(x)log(sin(x))\|cot(x) +--R Type: Expression Integer +--E 451 + +--S 452 of 528 +a0385:= integrate(t0385,x) +--R +--R +--R sin(x) 2 +--R (414) - log(----------) + log(----------) +--R cos(x) + 1 cos(x) + 1 +--R Type: Union(Expression Integer,...) +--E 452 + +--S 453 of 528 +m0385:= a0385-r0385 +--R +--R +--R +-------+ +--R | 2 sin(x) 2 +--R (415) - tan(x)log(sin(x))\|cot(x) - log(----------) + log(----------) +--R cos(x) + 1 cos(x) + 1 +--R Type: Expression Integer +--E 453 + +--S 454 of 528 +d0385:= D(m0385,x) +--R +--R +--R (416) +--R +-------+ +--R | 2 +--R - cos(x)\|cot(x) +--R + +--R 2 2 3 +--R - cot(x) sin(x)tan(x) + (cot(x) + cot(x))sin(x)tan(x) +--R + +--R 2 +--R - cot(x) sin(x) +--R * +--R log(sin(x)) +--R + +--R 2 +--R - cos(x)cot(x) tan(x) +--R / +--R +-------+ +--R | 2 +--R sin(x)\|cot(x) +--R Type: Expression Integer +--E 454 + +--S 455 of 528 +t0386:= (-1-csc(x)^2)^(1/2) +--R +--R +--R +-------------+ +--R | 2 +--R (417) \|- csc(x) - 1 +--R Type: Expression Integer +--E 455 + +--S 456 of 528 +r0386:= -atan((-2-cot(x)^2)^(1/2)*tan(x))+atanh(cot(x)/(-2-cot(x)^2)^(1/2)) +--R +--R +--R +-------------+ +--R cot(x) | 2 +--R (418) atanh(----------------) - atan(tan(x)\|- cot(x) - 2 ) +--R +-------------+ +--R | 2 +--R \|- cot(x) - 2 +--R Type: Expression Integer +--E 456 + +--S 457 of 528 +a0386:= integrate(t0386,x) +--R +--R +--R (419) +--R - +--R +---+ +--R 2\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +---+ +--R log(\|(%e ) - 6(%e ) + 1 - (%e ) + 2\|- 1 + 1) +--R + +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +--R log(\|(%e ) - 6(%e ) + 1 - (%e ) + 1) +--R + +--R +---+ +--R 2\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +---+ +--R log(\|(%e ) - 6(%e ) + 1 - (%e ) - 2\|- 1 + 1) +--R + +--R - +--R log +--R +--------------------------------+ +--R +---+ 2 | +---+ 4 +---+ 2 +--R x\|- 1 | x\|- 1 x\|- 1 +--R (- 2(%e ) + 2)\|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R 2(%e ) - 8(%e ) - 2 +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 457 + +--S 458 of 528 +m0386:= a0386-r0386 +--R +--R +--R (420) +--R - +--R +---+ +--R 2\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +---+ +--R log(\|(%e ) - 6(%e ) + 1 - (%e ) + 2\|- 1 + 1) +--R + +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +--R log(\|(%e ) - 6(%e ) + 1 - (%e ) + 1) +--R + +--R +---+ +--R 2\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +---+ +--R log(\|(%e ) - 6(%e ) + 1 - (%e ) - 2\|- 1 + 1) +--R + +--R - +--R log +--R +--------------------------------+ +--R +---+ 2 | +---+ 4 +---+ 2 +--R x\|- 1 | x\|- 1 x\|- 1 +--R (- 2(%e ) + 2)\|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R 2(%e ) - 8(%e ) - 2 +--R + +--R +-------------+ +--R cot(x) | 2 +--R - 2atanh(----------------) + 2atan(tan(x)\|- cot(x) - 2 ) +--R +-------------+ +--R | 2 +--R \|- cot(x) - 2 +--R / +--R 2 +--R Type: Expression Integer +--E 458 + +--S 459 of 528 +d0386:= D(m0386,x) +--R +--R +--R (421) +--R +---+ 6 +--R +---+ 2 +---+ x\|- 1 +--R (- \|- 1 cot(x) - 2\|- 1 )(%e ) +--R + +--R +---+ 4 +--R +---+ 2 +---+ x\|- 1 +--R (9\|- 1 cot(x) + 18\|- 1 )(%e ) +--R + +--R +---+ 2 +--R +---+ 2 +---+ x\|- 1 +---+ 2 +--R (- 21\|- 1 cot(x) - 42\|- 1 )(%e ) + 9\|- 1 cot(x) +--R + +--R +---+ +--R 18\|- 1 +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R \|- 1 (%e ) - 9\|- 1 (%e ) + 21\|- 1 (%e ) +--R + +--R +---+ +--R - 9\|- 1 +--R * +--R +-------------+ +--R | 2 +--R \|- cot(x) - 2 +--R + +--R +---+ 6 +---+ 4 +--R 2 x\|- 1 2 x\|- 1 +--R (2cot(x) + 4)(%e ) + (- 14cot(x) - 28)(%e ) +--R + +--R +---+ 2 +--R 2 x\|- 1 2 +--R (26cot(x) + 52)(%e ) - 14cot(x) - 28 +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 6 +--R 3 x\|- 1 +--R (- cot(x) - cot(x))(%e ) +--R + +--R +---+ 4 +--R 3 x\|- 1 +--R (7cot(x) + 7cot(x))(%e ) +--R + +--R +---+ 2 +--R 3 x\|- 1 3 +--R (- 13cot(x) - 13cot(x))(%e ) + 7cot(x) + 7cot(x) +--R * +--R tan(x) +--R + +--R +---+ 6 +---+ 4 +--R 2 x\|- 1 2 x\|- 1 +--R (cot(x) + 1)(%e ) + (- 7cot(x) - 7)(%e ) +--R + +--R +---+ 2 +--R 2 x\|- 1 2 +--R (13cot(x) + 13)(%e ) - 7cot(x) - 7 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 8 +--R +---+ 2 +---+ x\|- 1 +--R (\|- 1 cot(x) + 2\|- 1 )(%e ) +--R + +--R +---+ 6 +--R +---+ 2 +---+ x\|- 1 +--R (- 12\|- 1 cot(x) - 24\|- 1 )(%e ) +--R + +--R +---+ 4 +--R +---+ 2 +---+ x\|- 1 +--R (44\|- 1 cot(x) + 88\|- 1 )(%e ) +--R + +--R +---+ 2 +--R +---+ 2 +---+ x\|- 1 +---+ 2 +--R (- 48\|- 1 cot(x) - 96\|- 1 )(%e ) + 7\|- 1 cot(x) +--R + +--R +---+ +--R 14\|- 1 +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 8 +---+ 6 +---+ 4 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R - \|- 1 (%e ) + 12\|- 1 (%e ) - 44\|- 1 (%e ) +--R + +--R +---+ 2 +--R +---+ x\|- 1 +---+ +--R 48\|- 1 (%e ) - 7\|- 1 +--R * +--R +-------------+ +--R | 2 +--R \|- cot(x) - 2 +--R + +--R +---+ 8 +---+ 6 +--R 2 x\|- 1 2 x\|- 1 +--R (- 2cot(x) - 4)(%e ) + (20cot(x) + 40)(%e ) +--R + +--R +---+ 4 +---+ 2 +--R 2 x\|- 1 2 x\|- 1 +--R (- 60cot(x) - 120)(%e ) + (60cot(x) + 120)(%e ) +--R + +--R 2 +--R - 18cot(x) - 36 +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 8 +---+ 6 +--R 3 x\|- 1 3 x\|- 1 +--R (cot(x) + cot(x))(%e ) + (- 10cot(x) - 10cot(x))(%e ) +--R + +--R +---+ 4 +--R 3 x\|- 1 +--R (30cot(x) + 30cot(x))(%e ) +--R + +--R +---+ 2 +--R 3 x\|- 1 3 +--R (- 30cot(x) - 30cot(x))(%e ) + 9cot(x) + 9cot(x) +--R * +--R tan(x) +--R + +--R +---+ 8 +---+ 6 +--R 2 x\|- 1 2 x\|- 1 +--R (- cot(x) - 1)(%e ) + (10cot(x) + 10)(%e ) +--R + +--R +---+ 4 +---+ 2 +--R 2 x\|- 1 2 x\|- 1 2 +--R (- 30cot(x) - 30)(%e ) + (30cot(x) + 30)(%e ) - 9cot(x) +--R + +--R - 9 +--R / +--R +---+ 6 +---+ 4 +--R 2 x\|- 1 2 x\|- 1 +--R (cot(x) + 2)(%e ) + (- 7cot(x) - 14)(%e ) +--R + +--R +---+ 2 +--R 2 x\|- 1 2 +--R (13cot(x) + 26)(%e ) - 7cot(x) - 14 +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R - (%e ) + 7(%e ) - 13(%e ) + 7 +--R * +--R +--------------------------------+ +--R +-------------+ | +---+ 4 +---+ 2 +--R | 2 | x\|- 1 x\|- 1 +--R \|- cot(x) - 2 \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +--R 2 x\|- 1 2 x\|- 1 +--R (- cot(x) - 2)(%e ) + (10cot(x) + 20)(%e ) +--R + +--R +---+ 4 +---+ 2 +--R 2 x\|- 1 2 x\|- 1 +--R (- 30cot(x) - 60)(%e ) + (30cot(x) + 60)(%e ) +--R + +--R 2 +--R - 9cot(x) - 18 +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R (%e ) - 10(%e ) + 30(%e ) - 30(%e ) + 9 +--R * +--R +-------------+ +--R | 2 +--R \|- cot(x) - 2 +--R Type: Expression Integer +--E 459 + +--S 460 of 528 +t0387:= (a+b*csc(x)^2)^(1/2) +--R +--R +--R +-------------+ +--R | 2 +--R (422) \|b csc(x) + a +--R Type: Expression Integer +--E 460 + +--S 461 of 528 +r0387:= -a^(1/2)*atan(a^(1/2)*cot(x)/(a+b*csc(x)^2)^(1/2))-b^(1/2)*atanh((a+b*csc(x)^2)^(1/2)*tan(x)/b^(1/2)) +--R +--R +--R +-------------+ +--R | 2 +-+ +--R +-+ tan(x)\|b csc(x) + a +-+ cot(x)\|a +--R (423) - \|b atanh(----------------------) - \|a atan(----------------) +--R +-+ +-------------+ +--R \|b | 2 +--R \|b csc(x) + a +--R Type: Expression Integer +--E 461 + +--S 462 of 528 +a0387:= integrate(t0387,x) +--R +--R +--R (424) +--R [ +--R +-+ +-+ +--R \|a \|b +--R * +--R log +--R 4 10 4 9 +--R 128a cos(x) + 128a cos(x) +--R + +--R 3 4 8 3 4 7 +--R (- 256a b - 512a )cos(x) + (- 256a b - 512a )cos(x) +--R + +--R 2 2 3 4 6 +--R (160a b + 768a b + 768a )cos(x) +--R + +--R 2 2 3 4 5 +--R (160a b + 768a b + 768a )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (- 32a b - 320a b - 768a b - 512a )cos(x) +--R + +--R 3 2 2 3 4 3 +--R (- 32a b - 320a b - 768a b - 512a )cos(x) +--R + +--R 4 3 2 2 3 4 2 +--R (b + 32a b + 160a b + 256a b + 128a )cos(x) +--R + +--R 4 3 2 2 3 4 +--R (b + 32a b + 160a b + 256a b + 128a )cos(x) +--R * +--R +-+ +--R \|b +--R + +--R 3 4 9 3 4 8 +--R (- 64a b + 64a )cos(x) + (- 64a b + 64a )cos(x) +--R + +--R 2 2 3 4 7 +--R (96a b + 32a b - 256a )cos(x) +--R + +--R 2 2 3 4 6 +--R (96a b + 32a b - 256a )cos(x) +--R + +--R 3 2 2 3 4 5 +--R (- 40a b - 56a b + 288a b + 384a )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (- 40a b - 56a b + 288a b + 384a )cos(x) +--R + +--R 4 3 2 2 3 4 3 +--R (4b - 4a b - 176a b - 416a b - 256a )cos(x) +--R + +--R 4 3 2 2 3 4 2 +--R (4b - 4a b - 176a b - 416a b - 256a )cos(x) +--R + +--R 4 3 2 2 3 4 4 +--R (4b + 44a b + 136a b + 160a b + 64a )cos(x) + 4b +--R + +--R 3 2 2 3 4 +--R 44a b + 136a b + 160a b + 64a +--R * +--R +-+ +--R sin(x)\|a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 4 9 3 4 7 +--R - 256a cos(x) + (640a b + 1024a )cos(x) +--R + +--R 2 2 3 4 5 +--R (- 544a b - 1920a b - 1536a )cos(x) +--R + +--R 3 2 2 3 4 3 +--R (176a b + 1088a b + 1920a b + 1024a )cos(x) +--R + +--R 4 3 2 2 3 4 +--R (- 16b - 176a b - 544a b - 640a b - 256a )cos(x) +--R * +--R +-+ +-+ +--R sin(x)\|a \|b +--R + +--R 4 5 10 3 2 4 5 8 +--R (- 128a b + 128a )cos(x) + (256a b + 128a b - 640a )cos(x) +--R + +--R 2 3 3 2 4 5 6 +--R (- 160a b - 352a b + 768a b + 1280a )cos(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (32a b + 128a b - 480a b - 1792a b - 1280a )cos(x) +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (- b + a b + 224a b + 992a b + 1408a b + 640a )cos(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R - b - 33a b - 192a b - 416a b - 384a b - 128a +--R / +--R 3 9 3 8 2 3 7 +--R 64a cos(x) + 64a cos(x) + (- 96a b - 256a )cos(x) +--R + +--R 2 3 6 +--R (- 96a b - 256a )cos(x) +--R + +--R 2 2 3 5 +--R (40a b + 288a b + 384a )cos(x) +--R + +--R 2 2 3 4 +--R (40a b + 288a b + 384a )cos(x) +--R + +--R 3 2 2 3 3 +--R (- 4b - 80a b - 288a b - 256a )cos(x) +--R + +--R 3 2 2 3 2 +--R (- 4b - 80a b - 288a b - 256a )cos(x) +--R + +--R 3 2 2 3 3 2 2 +--R (4b + 40a b + 96a b + 64a )cos(x) + 4b + 40a b + 96a b +--R + +--R 3 +--R 64a +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R sin(x)\|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 4 10 3 4 8 +--R 128a cos(x) + (- 256a b - 640a )cos(x) +--R + +--R 2 2 3 4 6 +--R (160a b + 1024a b + 1280a )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (- 32a b - 480a b - 1536a b - 1280a )cos(x) +--R + +--R 4 3 2 2 3 4 2 4 3 +--R (b + 64a b + 480a b + 1024a b + 640a )cos(x) - b - 32a b +--R + +--R 2 2 3 4 +--R - 160a b - 256a b - 128a +--R + +--R a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a 2 +-+ +--R (cos(x) + 1)sin(x) |---------------------- + (2cos(x) - 2)\|a +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R atan(----------------------------------------------------------------) +--R +----------------------+ +--R | 2 +--R 2 |- 4a cos(x) + 4b + 4a +-+ +--R (cos(x) + cos(x)) |---------------------- - 2cos(x)sin(x)\|a +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R a +--R * +--R atan +--R 4 3 2 +--R 4a cos(x) + 4a cos(x) + (- b - 3a)cos(x) +--R + +--R (- b - 3a)cos(x) +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R \|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 3 2 +--R (- 8a cos(x) + (6a b + 6a )cos(x))sin(x) +--R / +--R 3 2 +--R (4a cos(x) + 4a cos(x) + (- b - a)cos(x) - b - a)sin(x) +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R \|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 4 2 2 2 +--R 8a cos(x) + (- 6a b - 10a )cos(x) + 2a b + 2a +--R / +--R +-+ +--R 2\|a +--R , +--R +--R a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a 2 +-+ +--R (cos(x) + 1)sin(x) |---------------------- + (2cos(x) - 2)\|a +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R atan(----------------------------------------------------------------) +--R +----------------------+ +--R | 2 +--R 2 |- 4a cos(x) + 4b + 4a +-+ +--R (cos(x) + cos(x)) |---------------------- - 2cos(x)sin(x)\|a +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R a +--R * +--R atan +--R 4 3 2 +--R 4a cos(x) + 4a cos(x) + (- b - 3a)cos(x) +--R + +--R (- b - 3a)cos(x) +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R \|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 3 2 +--R (- 8a cos(x) + (6a b + 6a )cos(x))sin(x) +--R / +--R 3 2 +--R (4a cos(x) + 4a cos(x) + (- b - a)cos(x) - b - a)sin(x) +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R \|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 4 2 2 2 +--R 8a cos(x) + (- 6a b - 10a )cos(x) + 2a b + 2a +--R + +--R - +--R +---+ +-+ +--R 2\|- b \|a +--R * +--R atan +--R +----------------------+ +--R | 2 +--R 2 +---+ |- 4a cos(x) + 4b + 4a +--R (cos(x) + cos(x))\|- b |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R +---+ +-+ +--R - 2cos(x)sin(x)\|- b \|a +--R / +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R (cos(x) + 1)sin(x)\|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 +--R 2a cos(x) - 2b - 2a +--R / +--R +-+ +--R 2\|a +--R ] +--R Type: Union(List Expression Integer,...) +--E 462 + +--S 463 of 528 +m0387a:= a0387.1-r0387 +--R +--R +--R (425) +--R +-+ +-+ +--R \|a \|b +--R * +--R log +--R 4 10 4 9 3 4 8 +--R 128a cos(x) + 128a cos(x) + (- 256a b - 512a )cos(x) +--R + +--R 3 4 7 +--R (- 256a b - 512a )cos(x) +--R + +--R 2 2 3 4 6 +--R (160a b + 768a b + 768a )cos(x) +--R + +--R 2 2 3 4 5 +--R (160a b + 768a b + 768a )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (- 32a b - 320a b - 768a b - 512a )cos(x) +--R + +--R 3 2 2 3 4 3 +--R (- 32a b - 320a b - 768a b - 512a )cos(x) +--R + +--R 4 3 2 2 3 4 2 +--R (b + 32a b + 160a b + 256a b + 128a )cos(x) +--R + +--R 4 3 2 2 3 4 +--R (b + 32a b + 160a b + 256a b + 128a )cos(x) +--R * +--R +-+ +--R \|b +--R + +--R 3 4 9 3 4 8 +--R (- 64a b + 64a )cos(x) + (- 64a b + 64a )cos(x) +--R + +--R 2 2 3 4 7 +--R (96a b + 32a b - 256a )cos(x) +--R + +--R 2 2 3 4 6 +--R (96a b + 32a b - 256a )cos(x) +--R + +--R 3 2 2 3 4 5 +--R (- 40a b - 56a b + 288a b + 384a )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (- 40a b - 56a b + 288a b + 384a )cos(x) +--R + +--R 4 3 2 2 3 4 3 +--R (4b - 4a b - 176a b - 416a b - 256a )cos(x) +--R + +--R 4 3 2 2 3 4 2 +--R (4b - 4a b - 176a b - 416a b - 256a )cos(x) +--R + +--R 4 3 2 2 3 4 4 +--R (4b + 44a b + 136a b + 160a b + 64a )cos(x) + 4b +--R + +--R 3 2 2 3 4 +--R 44a b + 136a b + 160a b + 64a +--R * +--R +-+ +--R sin(x)\|a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 4 9 3 4 7 +--R - 256a cos(x) + (640a b + 1024a )cos(x) +--R + +--R 2 2 3 4 5 +--R (- 544a b - 1920a b - 1536a )cos(x) +--R + +--R 3 2 2 3 4 3 +--R (176a b + 1088a b + 1920a b + 1024a )cos(x) +--R + +--R 4 3 2 2 3 4 +--R (- 16b - 176a b - 544a b - 640a b - 256a )cos(x) +--R * +--R +-+ +-+ +--R sin(x)\|a \|b +--R + +--R 4 5 10 3 2 4 5 8 +--R (- 128a b + 128a )cos(x) + (256a b + 128a b - 640a )cos(x) +--R + +--R 2 3 3 2 4 5 6 +--R (- 160a b - 352a b + 768a b + 1280a )cos(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (32a b + 128a b - 480a b - 1792a b - 1280a )cos(x) +--R + +--R 5 4 2 3 3 2 4 5 2 5 +--R (- b + a b + 224a b + 992a b + 1408a b + 640a )cos(x) - b +--R + +--R 4 2 3 3 2 4 5 +--R - 33a b - 192a b - 416a b - 384a b - 128a +--R / +--R 3 9 3 8 2 3 7 +--R 64a cos(x) + 64a cos(x) + (- 96a b - 256a )cos(x) +--R + +--R 2 3 6 2 2 3 5 +--R (- 96a b - 256a )cos(x) + (40a b + 288a b + 384a )cos(x) +--R + +--R 2 2 3 4 +--R (40a b + 288a b + 384a )cos(x) +--R + +--R 3 2 2 3 3 +--R (- 4b - 80a b - 288a b - 256a )cos(x) +--R + +--R 3 2 2 3 2 +--R (- 4b - 80a b - 288a b - 256a )cos(x) +--R + +--R 3 2 2 3 3 2 2 +--R (4b + 40a b + 96a b + 64a )cos(x) + 4b + 40a b + 96a b +--R + +--R 3 +--R 64a +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R sin(x)\|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 4 10 3 4 8 +--R 128a cos(x) + (- 256a b - 640a )cos(x) +--R + +--R 2 2 3 4 6 +--R (160a b + 1024a b + 1280a )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (- 32a b - 480a b - 1536a b - 1280a )cos(x) +--R + +--R 4 3 2 2 3 4 2 4 3 +--R (b + 64a b + 480a b + 1024a b + 640a )cos(x) - b - 32a b +--R + +--R 2 2 3 4 +--R - 160a b - 256a b - 128a +--R + +--R +-------------+ +--R | 2 +--R +-+ +-+ tan(x)\|b csc(x) + a +--R 2\|a \|b atanh(----------------------) +--R +-+ +--R \|b +--R + +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a 2 +-+ +--R (cos(x) + 1)sin(x) |---------------------- + (2cos(x) - 2)\|a +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R a atan(----------------------------------------------------------------) +--R +----------------------+ +--R | 2 +--R 2 |- 4a cos(x) + 4b + 4a +-+ +--R (cos(x) + cos(x)) |---------------------- - 2cos(x)sin(x)\|a +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R a +--R * +--R atan +--R 4 3 2 +--R 4a cos(x) + 4a cos(x) + (- b - 3a)cos(x) +--R + +--R (- b - 3a)cos(x) +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R \|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 3 2 +--R (- 8a cos(x) + (6a b + 6a )cos(x))sin(x) +--R / +--R 3 2 +-+ +--R (4a cos(x) + 4a cos(x) + (- b - a)cos(x) - b - a)sin(x)\|a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 4 2 2 2 +--R 8a cos(x) + (- 6a b - 10a )cos(x) + 2a b + 2a +--R + +--R +-+ +--R cot(x)\|a +--R 2a atan(----------------) +--R +-------------+ +--R | 2 +--R \|b csc(x) + a +--R / +--R +-+ +--R 2\|a +--R Type: Expression Integer +--E 463 + +--S 464 of 528 +--d0387a:= D(m0387a,x) +--E 464 + +--S 465 of 528 +m0387b:= a0387.2-r0387 +--R +--R +--R (426) +--R +-------------+ +--R | 2 +--R +-+ +-+ tan(x)\|b csc(x) + a +--R 2\|a \|b atanh(----------------------) +--R +-+ +--R \|b +--R + +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a 2 +-+ +--R (cos(x) + 1)sin(x) |---------------------- + (2cos(x) - 2)\|a +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R a atan(----------------------------------------------------------------) +--R +----------------------+ +--R | 2 +--R 2 |- 4a cos(x) + 4b + 4a +-+ +--R (cos(x) + cos(x)) |---------------------- - 2cos(x)sin(x)\|a +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R a +--R * +--R atan +--R 4 3 2 +--R 4a cos(x) + 4a cos(x) + (- b - 3a)cos(x) +--R + +--R (- b - 3a)cos(x) +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R \|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 3 2 +--R (- 8a cos(x) + (6a b + 6a )cos(x))sin(x) +--R / +--R 3 2 +-+ +--R (4a cos(x) + 4a cos(x) + (- b - a)cos(x) - b - a)sin(x)\|a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 4 2 2 2 +--R 8a cos(x) + (- 6a b - 10a )cos(x) + 2a b + 2a +--R + +--R - +--R +---+ +-+ +--R 2\|- b \|a +--R * +--R atan +--R +----------------------+ +--R | 2 +--R 2 +---+ |- 4a cos(x) + 4b + 4a +--R (cos(x) + cos(x))\|- b |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R +---+ +-+ +--R - 2cos(x)sin(x)\|- b \|a +--R / +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a 2 +--R (cos(x) + 1)sin(x)\|a |---------------------- + 2a cos(x) +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R - 2b - 2a +--R + +--R +-+ +--R cot(x)\|a +--R 2a atan(----------------) +--R +-------------+ +--R | 2 +--R \|b csc(x) + a +--R / +--R +-+ +--R 2\|a +--R Type: Expression Integer +--E 465 + +--S 466 of 528 +d0387b:= D(m0387b,x) +--R +--R +--R (427) +--R 4 3 5 2 6 9 +--R (- 64a b - 192a b - 128a b)cos(x) +--R + +--R 4 3 5 2 6 8 +--R (- 64a b - 192a b - 128a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 7 +--R (144a b + 608a b + 784a b + 320a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 6 +--R (144a b + 608a b + 784a b + 320a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R (- 104a b - 576a b - 1104a b - 896a b - 264a b) +--R * +--R 5 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R (- 104a b - 576a b - 1104a b - 896a b - 264a b) +--R * +--R 4 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 26a b + 184a b + 476a b + 584a b + 346a b +--R + +--R 6 +--R 80a b +--R * +--R 3 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 26a b + 184a b + 476a b + 584a b + 346a b +--R + +--R 6 +--R 80a b +--R * +--R 2 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 2b - 18a b - 60a b - 100a b - 90a b +--R + +--R 5 2 6 +--R - 42a b - 8a b +--R * +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 2b - 18a b - 60a b - 100a b - 90a b - 42a b +--R + +--R 6 +--R - 8a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 2 6 7 9 +--R (- 64a b - 192a b - 128a )cos(x) +--R + +--R 5 2 6 7 8 +--R (- 64a b - 192a b - 128a )cos(x) +--R + +--R 4 3 5 2 6 7 7 +--R (144a b + 608a b + 784a b + 320a )cos(x) +--R + +--R 4 3 5 2 6 7 6 +--R (144a b + 608a b + 784a b + 320a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 5 +--R (- 104a b - 576a b - 1104a b - 896a b - 264a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 4 +--R (- 104a b - 576a b - 1104a b - 896a b - 264a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R (26a b + 184a b + 476a b + 584a b + 346a b + 80a ) +--R * +--R 3 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R (26a b + 184a b + 476a b + 584a b + 346a b + 80a ) +--R * +--R 2 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 2a b - 18a b - 60a b - 100a b - 90a b - 42a b +--R + +--R 7 +--R - 8a +--R * +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R - 2a b - 18a b - 60a b - 100a b - 90a b - 42a b - 8a +--R * +--R 8 +--R sin(x) +--R + +--R 4 3 5 2 6 11 +--R (- 64a b + 448a b + 896a b)cos(x) +--R + +--R 4 3 5 2 6 10 +--R (- 64a b + 448a b + 896a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 9 +--R (112a b - 1248a b - 4368a b - 3136a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 8 +--R (112a b - 1248a b - 4368a b - 3136a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 +--R - 40a b + 1424a b + 6672a b + 9296a b +--R + +--R 6 +--R 4088a b +--R * +--R 7 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 +--R - 40a b + 1424a b + 6672a b + 9296a b +--R + +--R 6 +--R 4088a b +--R * +--R 6 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R - 10a b - 740a b - 4180a b - 8588a b +--R + +--R 5 2 6 +--R - 7546a b - 2408a b +--R * +--R 5 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R - 10a b - 740a b - 4180a b - 8588a b +--R + +--R 5 2 6 +--R - 7546a b - 2408a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 2b + 132a b + 972a b + 2760a b + 3738a b +--R + +--R 5 2 6 +--R 2436a b + 616a b +--R * +--R 3 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 2b + 132a b + 972a b + 2760a b + 3738a b +--R + +--R 5 2 6 +--R 2436a b + 616a b +--R * +--R 2 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 6b - 66a b - 260a b - 500a b - 510a b +--R + +--R 5 2 6 +--R - 266a b - 56a b +--R * +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 6b - 66a b - 260a b - 500a b - 510a b +--R + +--R 5 2 6 +--R - 266a b - 56a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 2 6 7 11 +--R (- 64a b + 448a b + 896a )cos(x) +--R + +--R 5 2 6 7 10 +--R (- 64a b + 448a b + 896a )cos(x) +--R + +--R 4 3 5 2 6 7 9 +--R (112a b - 1248a b - 4368a b - 3136a )cos(x) +--R + +--R 4 3 5 2 6 7 8 +--R (112a b - 1248a b - 4368a b - 3136a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 +--R (- 40a b + 1424a b + 6672a b + 9296a b + 4088a ) +--R * +--R 7 +--R cos(x) +--R + +--R 3 4 4 3 5 2 6 7 +--R (- 40a b + 1424a b + 6672a b + 9296a b + 4088a ) +--R * +--R 6 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R - 10a b - 740a b - 4180a b - 8588a b - 7546a b +--R + +--R 7 +--R - 2408a +--R * +--R 5 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R - 10a b - 740a b - 4180a b - 8588a b - 7546a b +--R + +--R 7 +--R - 2408a +--R * +--R 4 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 2a b + 132a b + 972a b + 2760a b + 3738a b +--R + +--R 6 7 +--R 2436a b + 616a +--R * +--R 3 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 2a b + 132a b + 972a b + 2760a b + 3738a b +--R + +--R 6 7 +--R 2436a b + 616a +--R * +--R 2 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 6a b - 66a b - 260a b - 500a b - 510a b +--R + +--R 6 7 +--R - 266a b - 56a +--R * +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 6a b - 66a b - 260a b - 500a b - 510a b - 266a b +--R + +--R 7 +--R - 56a +--R * +--R 6 +--R sin(x) +--R + +--R 4 3 5 2 6 13 +--R (64a b + 448a b - 896a b)cos(x) +--R + +--R 4 3 5 2 6 12 +--R (64a b + 448a b - 896a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 11 +--R (- 208a b - 1504a b + 1456a b + 4032a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 10 +--R (- 208a b - 1504a b + 1456a b + 4032a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R (232a b + 1824a b - 304a b - 8736a b - 7224a b) +--R * +--R 9 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R (232a b + 1824a b - 304a b - 8736a b - 7224a b) +--R * +--R 8 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R - 98a b - 912a b - 300a b + 7280a b +--R + +--R 5 2 6 +--R 13230a b + 6496a b +--R * +--R 7 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R - 98a b - 912a b - 300a b + 7280a b +--R + +--R 5 2 6 +--R 13230a b + 6496a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 10b + 154a b + 24a b - 2940a b - 8350a b +--R + +--R 5 2 6 +--R - 8554a b - 3024a b +--R * +--R 5 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 10b + 154a b + 24a b - 2940a b - 8350a b +--R + +--R 5 2 6 +--R - 8554a b - 3024a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 8b + 4a b + 472a b + 1950a b + 3212a b +--R + +--R 5 2 6 +--R 2394a b + 672a b +--R * +--R 3 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 8b + 4a b + 472a b + 1950a b + 3212a b +--R + +--R 5 2 6 +--R 2394a b + 672a b +--R * +--R 2 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 20a b - 130a b - 326a b - 398a b - 238a b +--R + +--R 6 +--R - 56a b +--R * +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 20a b - 130a b - 326a b - 398a b - 238a b +--R + +--R 6 +--R - 56a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 2 6 7 13 +--R (64a b + 448a b - 896a )cos(x) +--R + +--R 5 2 6 7 12 +--R (64a b + 448a b - 896a )cos(x) +--R + +--R 4 3 5 2 6 7 11 +--R (- 208a b - 1504a b + 1456a b + 4032a )cos(x) +--R + +--R 4 3 5 2 6 7 10 +--R (- 208a b - 1504a b + 1456a b + 4032a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 9 +--R (232a b + 1824a b - 304a b - 8736a b - 7224a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 8 +--R (232a b + 1824a b - 304a b - 8736a b - 7224a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R - 98a b - 912a b - 300a b + 7280a b + 13230a b +--R + +--R 7 +--R 6496a +--R * +--R 7 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R - 98a b - 912a b - 300a b + 7280a b + 13230a b +--R + +--R 7 +--R 6496a +--R * +--R 6 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 10a b + 154a b + 24a b - 2940a b - 8350a b +--R + +--R 6 7 +--R - 8554a b - 3024a +--R * +--R 5 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 10a b + 154a b + 24a b - 2940a b - 8350a b +--R + +--R 6 7 +--R - 8554a b - 3024a +--R * +--R 4 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 8a b + 4a b + 472a b + 1950a b + 3212a b +--R + +--R 6 7 +--R 2394a b + 672a +--R * +--R 3 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 8a b + 4a b + 472a b + 1950a b + 3212a b +--R + +--R 6 7 +--R 2394a b + 672a +--R * +--R 2 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R - 20a b - 130a b - 326a b - 398a b - 238a b +--R + +--R 7 +--R - 56a +--R * +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R - 20a b - 130a b - 326a b - 398a b - 238a b - 56a +--R * +--R 4 +--R sin(x) +--R + +--R 4 3 5 2 6 15 +--R (64a b - 192a b + 128a b)cos(x) +--R + +--R 4 3 5 2 6 14 +--R (64a b - 192a b + 128a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 13 +--R (- 176a b + 352a b + 464a b - 704a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 12 +--R (- 176a b + 352a b + 464a b - 704a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R (168a b - 176a b - 1296a b + 272a b + 1608a b) +--R * +--R 11 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R (168a b - 176a b - 1296a b + 272a b + 1608a b) +--R * +--R 10 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 62a b + 12a b + 1028a b + 900a b - 1918a b +--R + +--R 6 +--R - 1960a b +--R * +--R 9 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 62a b + 12a b + 1028a b + 900a b - 1918a b +--R + +--R 6 +--R - 1960a b +--R * +--R 8 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 6b + 4a b - 328a b - 728a b + 638a b +--R + +--R 5 2 6 +--R 2392a b + 1360a b +--R * +--R 7 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 6b + 4a b - 328a b - 728a b + 638a b +--R + +--R 5 2 6 +--R 2392a b + 1360a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 2b + 30a b + 152a b - 70a b - 978a b +--R + +--R 5 2 6 +--R - 1316a b - 528a b +--R * +--R 5 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 2b + 30a b + 152a b - 70a b - 978a b +--R + +--R 5 2 6 +--R - 1316a b - 528a b +--R * +--R 4 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 8a b + 2a b + 148a b + 362a b + 328a b +--R + +--R 6 +--R 104a b +--R * +--R 3 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 8a b + 2a b + 148a b + 362a b + 328a b +--R + +--R 6 +--R 104a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R (- 6a b - 26a b - 42a b - 30a b - 8a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R - 6a b - 26a b - 42a b - 30a b - 8a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 2 6 7 15 +--R (64a b - 192a b + 128a )cos(x) +--R + +--R 5 2 6 7 14 +--R (64a b - 192a b + 128a )cos(x) +--R + +--R 4 3 5 2 6 7 13 +--R (- 176a b + 352a b + 464a b - 704a )cos(x) +--R + +--R 4 3 5 2 6 7 12 +--R (- 176a b + 352a b + 464a b - 704a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 11 +--R (168a b - 176a b - 1296a b + 272a b + 1608a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 10 +--R (168a b - 176a b - 1296a b + 272a b + 1608a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R - 62a b + 12a b + 1028a b + 900a b - 1918a b +--R + +--R 7 +--R - 1960a +--R * +--R 9 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R - 62a b + 12a b + 1028a b + 900a b - 1918a b +--R + +--R 7 +--R - 1960a +--R * +--R 8 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R 6a b + 4a b - 328a b - 728a b + 638a b + 2392a b +--R + +--R 7 +--R 1360a +--R * +--R 7 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R 6a b + 4a b - 328a b - 728a b + 638a b + 2392a b +--R + +--R 7 +--R 1360a +--R * +--R 6 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 2a b + 30a b + 152a b - 70a b - 978a b +--R + +--R 6 7 +--R - 1316a b - 528a +--R * +--R 5 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 2a b + 30a b + 152a b - 70a b - 978a b +--R + +--R 6 7 +--R - 1316a b - 528a +--R * +--R 4 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R (- 8a b + 2a b + 148a b + 362a b + 328a b + 104a ) +--R * +--R 3 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R (- 8a b + 2a b + 148a b + 362a b + 328a b + 104a ) +--R * +--R 2 +--R cos(x) +--R + +--R 3 4 4 3 5 2 6 7 3 4 +--R (- 6a b - 26a b - 42a b - 30a b - 8a )cos(x) - 6a b +--R + +--R 4 3 5 2 6 7 +--R - 26a b - 42a b - 30a b - 8a +--R * +--R 2 +--R sin(x) +--R * +--R 2 +--R tan(x) +--R + +--R 4 3 5 2 6 9 +--R (64a b + 192a b + 128a b)cos(x) +--R + +--R 4 3 5 2 6 8 +--R (64a b + 192a b + 128a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 7 +--R (- 144a b - 608a b - 784a b - 320a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 6 +--R (- 144a b - 608a b - 784a b - 320a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 5 +--R (104a b + 576a b + 1104a b + 896a b + 264a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 4 +--R (104a b + 576a b + 1104a b + 896a b + 264a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (- 26a b - 184a b - 476a b - 584a b - 346a b - 80a b) +--R * +--R 3 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (- 26a b - 184a b - 476a b - 584a b - 346a b - 80a b) +--R * +--R 2 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R (2b + 18a b + 60a b + 100a b + 90a b + 42a b + 8a b) +--R * +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R 2b + 18a b + 60a b + 100a b + 90a b + 42a b + 8a b +--R * +--R 8 +--R sin(x) +--R + +--R 4 3 5 2 6 11 +--R (64a b - 448a b - 896a b)cos(x) +--R + +--R 4 3 5 2 6 10 +--R (64a b - 448a b - 896a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 9 +--R (- 112a b + 1248a b + 4368a b + 3136a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 8 +--R (- 112a b + 1248a b + 4368a b + 3136a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R (40a b - 1424a b - 6672a b - 9296a b - 4088a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 6 +--R (40a b - 1424a b - 6672a b - 9296a b - 4088a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 10a b + 740a b + 4180a b + 8588a b + 7546a b +--R + +--R 6 +--R 2408a b +--R * +--R 5 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 10a b + 740a b + 4180a b + 8588a b + 7546a b +--R + +--R 6 +--R 2408a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 2b - 132a b - 972a b - 2760a b - 3738a b +--R + +--R 5 2 6 +--R - 2436a b - 616a b +--R * +--R 3 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 2b - 132a b - 972a b - 2760a b - 3738a b +--R + +--R 5 2 6 +--R - 2436a b - 616a b +--R * +--R 2 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 6b + 66a b + 260a b + 500a b + 510a b + 266a b +--R + +--R 6 +--R 56a b +--R * +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R 6b + 66a b + 260a b + 500a b + 510a b + 266a b + 56a b +--R * +--R 6 +--R sin(x) +--R + +--R 4 3 5 2 6 13 +--R (- 64a b - 448a b + 896a b)cos(x) +--R + +--R 4 3 5 2 6 12 +--R (- 64a b - 448a b + 896a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 11 +--R (208a b + 1504a b - 1456a b - 4032a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 10 +--R (208a b + 1504a b - 1456a b - 4032a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 9 +--R (- 232a b - 1824a b + 304a b + 8736a b + 7224a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 8 +--R (- 232a b - 1824a b + 304a b + 8736a b + 7224a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 98a b + 912a b + 300a b - 7280a b - 13230a b +--R + +--R 6 +--R - 6496a b +--R * +--R 7 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 98a b + 912a b + 300a b - 7280a b - 13230a b +--R + +--R 6 +--R - 6496a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 10b - 154a b - 24a b + 2940a b + 8350a b +--R + +--R 5 2 6 +--R 8554a b + 3024a b +--R * +--R 5 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 10b - 154a b - 24a b + 2940a b + 8350a b +--R + +--R 5 2 6 +--R 8554a b + 3024a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 8b - 4a b - 472a b - 1950a b - 3212a b - 2394a b +--R + +--R 6 +--R - 672a b +--R * +--R 3 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 8b - 4a b - 472a b - 1950a b - 3212a b - 2394a b +--R + +--R 6 +--R - 672a b +--R * +--R 2 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (20a b + 130a b + 326a b + 398a b + 238a b + 56a b) +--R * +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R 20a b + 130a b + 326a b + 398a b + 238a b + 56a b +--R * +--R 4 +--R sin(x) +--R + +--R 4 3 5 2 6 15 +--R (- 64a b + 192a b - 128a b)cos(x) +--R + +--R 4 3 5 2 6 14 +--R (- 64a b + 192a b - 128a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 13 +--R (176a b - 352a b - 464a b + 704a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 12 +--R (176a b - 352a b - 464a b + 704a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 11 +--R (- 168a b + 176a b + 1296a b - 272a b - 1608a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 10 +--R (- 168a b + 176a b + 1296a b - 272a b - 1608a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (62a b - 12a b - 1028a b - 900a b + 1918a b + 1960a b) +--R * +--R 9 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (62a b - 12a b - 1028a b - 900a b + 1918a b + 1960a b) +--R * +--R 8 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 6b - 4a b + 328a b + 728a b - 638a b - 2392a b +--R + +--R 6 +--R - 1360a b +--R * +--R 7 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 6b - 4a b + 328a b + 728a b - 638a b - 2392a b +--R + +--R 6 +--R - 1360a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 2b - 30a b - 152a b + 70a b + 978a b + 1316a b +--R + +--R 6 +--R 528a b +--R * +--R 5 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 2b - 30a b - 152a b + 70a b + 978a b + 1316a b +--R + +--R 6 +--R 528a b +--R * +--R 4 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 3 +--R (8a b - 2a b - 148a b - 362a b - 328a b - 104a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 2 +--R (8a b - 2a b - 148a b - 362a b - 328a b - 104a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 2 5 +--R (6a b + 26a b + 42a b + 30a b + 8a b)cos(x) + 6a b +--R + +--R 3 4 4 3 5 2 6 +--R 26a b + 42a b + 30a b + 8a b +--R * +--R 2 +--R sin(x) +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R \|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 5 3 6 2 7 8 +--R (32a b + 64a b + 32a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 6 +--R (- 80a b - 240a b - 240a b - 80a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 4 +--R (66a b + 264a b + 396a b + 264a b + 66a b)cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 20a b - 100a b - 200a b - 200a b - 100a b +--R + +--R 7 +--R - 20a b +--R * +--R 2 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 +--R 2a b + 12a b + 30a b + 40a b + 30a b + 12a b + 2a b +--R * +--R 2 +--R csc(x) +--R + +--R 6 2 7 8 8 +--R (32a b + 64a b + 32a )cos(x) +--R + +--R 5 3 6 2 7 8 6 +--R (- 80a b - 240a b - 240a b - 80a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 4 +--R (66a b + 264a b + 396a b + 264a b + 66a )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 +--R (- 20a b - 100a b - 200a b - 200a b - 100a b - 20a ) +--R * +--R 2 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 +--R 2a b + 12a b + 30a b + 40a b + 30a b + 12a b + 2a +--R * +--R 9 +--R sin(x) +--R + +--R 5 3 6 2 7 10 +--R (- 128a b - 896a b - 896a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 8 +--R (416a b + 3328a b + 6048a b + 3136a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 +--R - 488a b - 4448a b - 11520a b - 11648a b +--R + +--R 7 +--R - 4088a b +--R * +--R 6 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 240a b + 2540a b + 8588a b + 12924a b + 9044a b +--R + +--R 7 +--R 2408a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 42a b - 560a b - 2436a b - 4984a b - 5306a b +--R + +--R 6 2 7 +--R - 2856a b - 616a b +--R * +--R 2 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 2b + 38a b + 216a b + 580a b + 850a b + 702a b +--R + +--R 6 2 7 +--R 308a b + 56a b +--R * +--R 2 +--R csc(x) +--R + +--R 6 2 7 8 10 +--R (- 128a b - 896a b - 896a )cos(x) +--R + +--R 5 3 6 2 7 8 8 +--R (416a b + 3328a b + 6048a b + 3136a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 6 +--R (- 488a b - 4448a b - 11520a b - 11648a b - 4088a )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R 240a b + 2540a b + 8588a b + 12924a b + 9044a b +--R + +--R 8 +--R 2408a +--R * +--R 4 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 42a b - 560a b - 2436a b - 4984a b - 5306a b +--R + +--R 7 8 +--R - 2856a b - 616a +--R * +--R 2 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 2a b + 38a b + 216a b + 580a b + 850a b + 702a b +--R + +--R 7 8 +--R 308a b + 56a +--R * +--R 7 +--R sin(x) +--R + +--R 5 3 7 12 +--R (- 320a b + 2240a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 10 +--R (960a b + 800a b - 8960a b - 10080a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 +--R - 1028a b - 1520a b + 13560a b + 31920a b +--R + +--R 7 +--R 18060a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 456a b + 756a b - 10620a b - 37380a b - 42700a b +--R + +--R 7 +--R - 16240a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 72a b - 24a b + 4398a b + 19640a b + 33910a b +--R + +--R 6 2 7 +--R 26180a b + 7560a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 4b - 8a b - 708a b - 4136a b - 9980a b +--R + +--R 5 3 6 2 7 +--R - 12000a b - 7140a b - 1680a b +--R * +--R 2 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 30a b + 260a b + 880a b + 1520a b + 1430a b +--R + +--R 6 2 7 +--R 700a b + 140a b +--R * +--R 2 +--R csc(x) +--R + +--R 6 2 8 12 +--R (- 320a b + 2240a )cos(x) +--R + +--R 5 3 6 2 7 8 10 +--R (960a b + 800a b - 8960a b - 10080a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 +--R (- 1028a b - 1520a b + 13560a b + 31920a b + 18060a ) +--R * +--R 8 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R 456a b + 756a b - 10620a b - 37380a b - 42700a b +--R + +--R 8 +--R - 16240a +--R * +--R 6 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 72a b - 24a b + 4398a b + 19640a b + 33910a b +--R + +--R 7 8 +--R 26180a b + 7560a +--R * +--R 4 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 4a b - 8a b - 708a b - 4136a b - 9980a b - 12000a b +--R + +--R 7 8 +--R - 7140a b - 1680a +--R * +--R 2 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R 30a b + 260a b + 880a b + 1520a b + 1430a b + 700a b +--R + +--R 8 +--R 140a +--R * +--R 5 +--R sin(x) +--R + +--R 5 3 6 2 7 14 +--R (- 128a b + 896a b - 896a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 12 +--R (352a b - 2688a b - 672a b + 4928a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 328a b + 3296a b + 5664a b - 8064a b - 11256a b) +--R * +--R 10 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 112a b - 2092a b - 6812a b + 3172a b + 21308a b +--R + +--R 7 +--R 13720a b +--R * +--R 8 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 10a b + 648a b + 3168a b + 360a b - 15150a b +--R + +--R 6 2 7 +--R - 22512a b - 9520a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 2b - 58a b - 516a b - 176a b + 5170a b +--R + +--R 5 3 6 2 7 +--R 12786a b + 11592a b + 3696a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 24a b + 8a b - 746a b - 2764a b - 4106a b +--R + +--R 6 2 7 +--R - 2800a b - 728a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R 30a b + 174a b + 398a b + 450a b + 252a b + 56a b +--R * +--R 2 +--R csc(x) +--R + +--R 6 2 7 8 14 +--R (- 128a b + 896a b - 896a )cos(x) +--R + +--R 5 3 6 2 7 8 12 +--R (352a b - 2688a b - 672a b + 4928a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 10 +--R (- 328a b + 3296a b + 5664a b - 8064a b - 11256a )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R 112a b - 2092a b - 6812a b + 3172a b + 21308a b +--R + +--R 8 +--R 13720a +--R * +--R 8 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 10a b + 648a b + 3168a b + 360a b - 15150a b +--R + +--R 7 8 +--R - 22512a b - 9520a +--R * +--R 6 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 2a b - 58a b - 516a b - 176a b + 5170a b + 12786a b +--R + +--R 7 8 +--R 11592a b + 3696a +--R * +--R 4 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R 24a b + 8a b - 746a b - 2764a b - 4106a b - 2800a b +--R + +--R 8 +--R - 728a +--R * +--R 2 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 +--R 30a b + 174a b + 398a b + 450a b + 252a b + 56a +--R * +--R 3 +--R sin(x) +--R + +--R 5 3 6 2 7 16 +--R (32a b - 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208a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 12 +--R (146a b + 104a b - 612a b - 184a b + 578a )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 +--R (- 84a b - 208a b + 436a b + 940a b - 448a b - 892a ) +--R * +--R 10 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R 18a b + 100a b - 96a b - 784a b - 348a b + 1080a b +--R + +--R 8 +--R 830a +--R * +--R 8 +--R cos(x) +--R + +--R 2 6 4 4 5 3 6 2 7 8 +--R (- 12a b + 236a b + 368a b - 360a b - 976a b - 472a ) +--R * +--R 6 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R 2a b - 20a b - 80a b + 32a b + 372a b + 440a b +--R + +--R 8 +--R 158a +--R * +--R 4 +--R cos(x) +--R + +--R 3 5 5 3 6 2 7 8 2 4 4 +--R (4a b - 52a b - 116a b - 96a b - 28a )cos(x) + 2a b +--R + +--R 5 3 6 2 7 8 +--R 8a b + 12a b + 8a b + 2a +--R * +--R sin(x) +--R * +--R 2 +--R tan(x) +--R + +--R 5 3 6 2 7 8 +--R (- 32a b - 64a b - 32a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 6 +--R (80a b + 240a b + 240a b + 80a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 4 +--R (- 66a b - 264a b - 396a b - 264a b - 66a b)cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 2 +--R (20a b + 100a b + 200a b + 200a b + 100a b + 20a b)cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 +--R - 2a b - 12a b - 30a b - 40a b - 30a b - 12a b - 2a b +--R * +--R 9 +--R sin(x) +--R + +--R 5 3 6 2 7 10 +--R (128a b + 896a b + 896a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 8 +--R (- 416a b - 3328a b - 6048a b - 3136a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 6 +--R (488a b + 4448a b + 11520a b + 11648a b + 4088a b)cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 240a b - 2540a b - 8588a b - 12924a b - 9044a b +--R + +--R 7 +--R - 2408a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 42a b + 560a b + 2436a b + 4984a b + 5306a b + 2856a b +--R + +--R 7 +--R 616a b +--R * +--R 2 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R - 2b - 38a b - 216a b - 580a b - 850a b - 702a b - 308a b +--R + +--R 7 +--R - 56a b +--R * +--R 7 +--R sin(x) +--R + +--R 5 3 7 12 +--R (320a b - 2240a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 10 +--R (- 960a b - 800a b + 8960a b + 10080a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 +--R (1028a b + 1520a b - 13560a b - 31920a b - 18060a b)cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 456a b - 756a b + 10620a b + 37380a b + 42700a b +--R + +--R 7 +--R 16240a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 72a b + 24a b - 4398a b - 19640a b - 33910a b +--R + +--R 6 2 7 +--R - 26180a b - 7560a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 4b + 8a b + 708a b + 4136a b + 9980a b + 12000a b +--R + +--R 6 2 7 +--R 7140a b + 1680a b +--R * +--R 2 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 30a b - 260a b - 880a b - 1520a b - 1430a b - 700a b +--R + +--R 7 +--R - 140a b +--R * +--R 5 +--R sin(x) +--R + +--R 5 3 6 2 7 14 +--R (128a b - 896a b + 896a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 12 +--R (- 352a b + 2688a b + 672a b - 4928a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 10 +--R (328a b - 3296a b - 5664a b + 8064a b + 11256a b)cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 112a b + 2092a b + 6812a b - 3172a b - 21308a b +--R + +--R 7 +--R - 13720a b +--R * +--R 8 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 10a b - 648a b - 3168a b - 360a b + 15150a b + 22512a b +--R + +--R 7 +--R 9520a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 2b + 58a b + 516a b + 176a b - 5170a b - 12786a b +--R + +--R 6 2 7 +--R - 11592a b - 3696a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 24a b - 8a b + 746a b + 2764a b + 4106a b + 2800a b +--R + +--R 7 +--R 728a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R - 30a b - 174a b - 398a b - 450a b - 252a b - 56a b +--R * +--R 3 +--R sin(x) +--R + +--R 5 3 6 2 7 16 +--R (- 32a b + 64a b - 32a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 14 +--R (112a b - 80a b - 240a b + 208a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 12 +--R (- 146a b - 104a b + 612a b + 184a b - 578a b)cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 10 +--R (84a b + 208a b - 436a b - 940a b + 448a b + 892a b)cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 18a b - 100a b + 96a b + 784a b + 348a b - 1080a b +--R + +--R 7 +--R - 830a b +--R * +--R 8 +--R cos(x) +--R + +--R 7 3 5 4 4 5 3 6 2 7 6 +--R (12a b - 236a b - 368a b + 360a b + 976a b + 472a b)cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 2a b + 20a b + 80a b - 32a b - 372a b - 440a b +--R + +--R 7 +--R - 158a b +--R * +--R 4 +--R cos(x) +--R + +--R 2 6 4 4 5 3 6 2 7 2 3 5 +--R (- 4a b + 52a b + 116a b + 96a b + 28a b)cos(x) - 2a b +--R + +--R 4 4 5 3 6 2 7 +--R - 8a b - 12a b - 8a b - 2a b +--R * +--R sin(x) +--R * +--R +-------------+ +--R | 2 +--R \|b csc(x) + a +--R + +--R 4 4 5 3 6 2 7 9 +--R (- 16a b - 48a b - 48a b - 16a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 8 +--R (- 16a b - 48a b - 48a b - 16a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 7 +--R (24a b + 112a b + 192a b + 144a b + 40a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 6 +--R (24a b + 112a b + 192a b + 144a b + 40a b)cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 9a b - 69a b - 186a b - 234a b - 141a b +--R + +--R 7 +--R - 33a b +--R * +--R 5 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 9a b - 69a b - 186a b - 234a b - 141a b +--R + +--R 7 +--R - 33a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R a b + 15a b + 60a b + 110a b + 105a b + 51a b +--R + +--R 7 +--R 10a b +--R * +--R 3 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R a b + 15a b + 60a b + 110a b + 105a b + 51a b +--R + +--R 7 +--R 10a b +--R * +--R 2 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - a b - 6a b - 15a b - 20a b - 15a b - 6a b +--R + +--R 7 +--R - a b +--R * +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 +--R - a b - 6a b - 15a b - 20a b - 15a b - 6a b - a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 3 6 2 7 8 9 +--R (- 16a b - 48a b - 48a b - 16a )cos(x) +--R + +--R 5 3 6 2 7 8 8 +--R (- 16a b - 48a b - 48a b - 16a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 7 +--R (24a b + 112a b + 192a b + 144a b + 40a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 6 +--R (24a b + 112a b + 192a b + 144a b + 40a )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 5 +--R (- 9a b - 69a b - 186a b - 234a b - 141a b - 33a )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 4 +--R (- 9a b - 69a b - 186a b - 234a b - 141a b - 33a )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 +--R (a b + 15a b + 60a b + 110a b + 105a b + 51a b + 10a ) +--R * +--R 3 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 +--R (a b + 15a b + 60a b + 110a b + 105a b + 51a b + 10a ) +--R * +--R 2 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 +--R (- a b - 6a b - 15a b - 20a b - 15a b - 6a b - a )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 +--R - a b - 6a b - 15a b - 20a b - 15a b - 6a b - a +--R * +--R 8 +--R sin(x) +--R + +--R 4 4 5 3 6 2 7 11 +--R (64a b + 512a b + 896a b + 448a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 10 +--R (64a b + 512a b + 896a b + 448a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 144a b - 1360a b - 3792a b - 4144a b - 1568a b) +--R * +--R 9 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 144a b - 1360a b - 3792a b - 4144a b - 1568a b) +--R * +--R 8 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 100a b + 1172a b + 4704a b + 8336a b + 6748a b +--R + +--R 7 +--R 2044a b +--R * +--R 7 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 100a b + 1172a b + 4704a b + 8336a b + 6748a b +--R + +--R 7 +--R 2044a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 20a b - 362a b - 2156a b - 5700a b - 7484a b +--R + +--R 6 2 7 +--R - 4802a b - 1204a b +--R * +--R 5 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 20a b - 362a b - 2156a b - 5700a b - 7484a b +--R + +--R 6 2 7 +--R - 4802a b - 1204a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R b + 39a b + 370a b + 1418a b + 2717a b +--R + +--R 5 3 6 2 7 +--R 2779a b + 1456a b + 308a b +--R * +--R 3 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R b + 39a b + 370a b + 1418a b + 2717a b +--R + +--R 5 3 6 2 7 +--R 2779a b + 1456a b + 308a b +--R * +--R 2 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - b - 19a b - 108a b - 290a b - 425a b - 351a b +--R + +--R 6 2 7 +--R - 154a b - 28a b +--R * +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - b - 19a b - 108a b - 290a b - 425a b - 351a b +--R + +--R 6 2 7 +--R - 154a b - 28a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 3 6 2 7 8 11 +--R (64a b + 512a b + 896a b + 448a )cos(x) +--R + +--R 5 3 6 2 7 8 10 +--R (64a b + 512a b + 896a b + 448a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 9 +--R (- 144a b - 1360a b - 3792a b - 4144a b - 1568a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 8 +--R (- 144a b - 1360a b - 3792a b - 4144a b - 1568a )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R 100a b + 1172a b + 4704a b + 8336a b + 6748a b +--R + +--R 8 +--R 2044a +--R * +--R 7 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R 100a b + 1172a b + 4704a b + 8336a b + 6748a b +--R + +--R 8 +--R 2044a +--R * +--R 6 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 20a b - 362a b - 2156a b - 5700a b - 7484a b +--R + +--R 7 8 +--R - 4802a b - 1204a +--R * +--R 5 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 20a b - 362a b - 2156a b - 5700a b - 7484a b +--R + +--R 7 8 +--R - 4802a b - 1204a +--R * +--R 4 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R a b + 39a b + 370a b + 1418a b + 2717a b + 2779a b +--R + +--R 7 8 +--R 1456a b + 308a +--R * +--R 3 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R a b + 39a b + 370a b + 1418a b + 2717a b + 2779a b +--R + +--R 7 8 +--R 1456a b + 308a +--R * +--R 2 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - a b - 19a b - 108a b - 290a b - 425a b - 351a b +--R + +--R 7 8 +--R - 154a b - 28a +--R * +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - a b - 19a b - 108a b - 290a b - 425a b - 351a b +--R + +--R 7 8 +--R - 154a b - 28a +--R * +--R 6 +--R sin(x) +--R + +--R 4 4 5 3 6 2 7 13 +--R (160a b + 160a b - 1120a b - 1120a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 12 +--R (160a b + 160a b - 1120a b - 1120a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 320a b - 720a b + 2960a b + 8400a b + 5040a b) +--R * +--R 11 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 320a b - 720a b + 2960a b + 8400a b + 5040a b) +--R * +--R 10 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 194a b + 714a b - 2900a b - 15460a b - 21070a b +--R + +--R 7 +--R - 9030a b +--R * +--R 9 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 194a b + 714a b - 2900a b - 15460a b - 21070a b +--R + +--R 7 +--R - 9030a b +--R * +--R 8 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 34a b - 212a b + 1472a b + 11660a b + 26250a b +--R + +--R 6 2 7 +--R 24360a b + 8120a b +--R * +--R 7 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 34a b - 212a b + 1472a b + 11660a b + 26250a b +--R + +--R 6 2 7 +--R 24360a b + 8120a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 2b + 30a b - 321a b - 3819a b - 12865a b +--R + +--R 5 3 6 2 7 +--R - 19475a b - 13860a b - 3780a b +--R * +--R 5 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 2b + 30a b - 321a b - 3819a b - 12865a b +--R + +--R 5 3 6 2 7 +--R - 19475a b - 13860a b - 3780a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 2b + 19a b + 469a b + 2393a b + 5425a b +--R + +--R 5 3 6 2 7 +--R 6280a b + 3640a b + 840a b +--R * +--R 3 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 2b + 19a b + 469a b + 2393a b + 5425a b +--R + +--R 5 3 6 2 7 +--R 6280a b + 3640a b + 840a b +--R * +--R 2 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 15a b - 130a b - 440a b - 760a b - 715a b +--R + +--R 6 2 7 +--R - 350a b - 70a b +--R * +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 15a b - 130a b - 440a b - 760a b - 715a b +--R + +--R 6 2 7 +--R - 350a b - 70a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 3 6 2 7 8 13 +--R (160a b + 160a b - 1120a b - 1120a )cos(x) +--R + +--R 5 3 6 2 7 8 12 +--R (160a b + 160a b - 1120a b - 1120a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 11 +--R (- 320a b - 720a b + 2960a b + 8400a b + 5040a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 10 +--R (- 320a b - 720a b + 2960a b + 8400a b + 5040a )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R 194a b + 714a b - 2900a b - 15460a b - 21070a b +--R + +--R 8 +--R - 9030a +--R * +--R 9 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R 194a b + 714a b - 2900a b - 15460a b - 21070a b +--R + +--R 8 +--R - 9030a +--R * +--R 8 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 34a b - 212a b + 1472a b + 11660a b + 26250a b +--R + +--R 7 8 +--R 24360a b + 8120a +--R * +--R 7 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 34a b - 212a b + 1472a b + 11660a b + 26250a b +--R + +--R 7 8 +--R 24360a b + 8120a +--R * +--R 6 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 2a b + 30a b - 321a b - 3819a b - 12865a b +--R + +--R 6 2 7 8 +--R - 19475a b - 13860a b - 3780a +--R * +--R 5 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 2a b + 30a b - 321a b - 3819a b - 12865a b +--R + +--R 6 2 7 8 +--R - 19475a b - 13860a b - 3780a +--R * +--R 4 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 2a b + 19a b + 469a b + 2393a b + 5425a b +--R + +--R 6 2 7 8 +--R 6280a b + 3640a b + 840a +--R * +--R 3 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 2a b + 19a b + 469a b + 2393a b + 5425a b +--R + +--R 6 2 7 8 +--R 6280a b + 3640a b + 840a +--R * +--R 2 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R - 15a b - 130a b - 440a b - 760a b - 715a b - 350a b +--R + +--R 8 +--R - 70a +--R * +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R - 15a b - 130a b - 440a b - 760a b - 715a b - 350a b +--R + +--R 8 +--R - 70a +--R * +--R 4 +--R sin(x) +--R + +--R 4 4 5 3 7 15 +--R (64a b - 384a b + 448a b)cos(x) +--R + +--R 4 4 5 3 7 14 +--R (64a b - 384a b + 448a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 112a b + 784a b + 1680a b - 1680a b - 2464a b) +--R * +--R 13 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 112a b + 784a b + 1680a b - 1680a b - 2464a b) +--R * +--R 12 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 52a b - 636a b - 3184a b - 480a b + 7644a b +--R + +--R 7 +--R 5628a b +--R * +--R 11 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 52a b - 636a b - 3184a b - 480a b + 7644a b +--R + +--R 7 +--R 5628a b +--R * +--R 10 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 4a b + 242a b + 2116a b + 2636a b - 6276a b +--R + +--R 6 2 7 +--R - 13902a b - 6860a b +--R * +--R 9 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 4a b + 242a b + 2116a b + 2636a b - 6276a b +--R + +--R 6 2 7 +--R - 13902a b - 6860a b +--R * +--R 8 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R b - 25a b - 540a b - 1464a b + 1935a b +--R + +--R 5 3 6 2 7 +--R 10893a b + 12768a b + 4760a b +--R * +--R 7 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R b - 25a b - 540a b - 1464a b + 1935a b +--R + +--R 5 3 6 2 7 +--R 10893a b + 12768a b + 4760a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - b + 41a b + 250a b - 262a b - 3545a b +--R + +--R 5 3 6 2 7 +--R - 7359a b - 6132a b - 1848a b +--R * +--R 5 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - b + 41a b + 250a b - 262a b - 3545a b +--R + +--R 5 3 6 2 7 +--R - 7359a b - 6132a b - 1848a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 12a b + 11a b + 445a b + 1509a b + 2151a b +--R + +--R 6 2 7 +--R 1428a b + 364a b +--R * +--R 3 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 12a b + 11a b + 445a b + 1509a b + 2151a b +--R + +--R 6 2 7 +--R 1428a b + 364a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 15a b - 87a b - 199a b - 225a b - 126a b +--R + +--R 7 +--R - 28a b +--R * +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R - 15a b - 87a b - 199a b - 225a b - 126a b - 28a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 3 6 2 8 15 +--R (64a b - 384a b + 448a )cos(x) +--R + +--R 5 3 6 2 8 14 +--R (64a b - 384a b + 448a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 13 +--R (- 112a b + 784a b + 1680a b - 1680a b - 2464a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 12 +--R (- 112a b + 784a b + 1680a b - 1680a b - 2464a )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 +--R (52a b - 636a b - 3184a b - 480a b + 7644a b + 5628a ) +--R * +--R 11 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 +--R (52a b - 636a b - 3184a b - 480a b + 7644a b + 5628a ) +--R * +--R 10 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 4a b + 242a b + 2116a b + 2636a b - 6276a b +--R + +--R 7 8 +--R - 13902a b - 6860a +--R * +--R 9 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 4a b + 242a b + 2116a b + 2636a b - 6276a b +--R + +--R 7 8 +--R - 13902a b - 6860a +--R * +--R 8 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R a b - 25a b - 540a b - 1464a b + 1935a b + 10893a b +--R + +--R 7 8 +--R 12768a b + 4760a +--R * +--R 7 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R a b - 25a b - 540a b - 1464a b + 1935a b + 10893a b +--R + +--R 7 8 +--R 12768a b + 4760a +--R * +--R 6 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - a b + 41a b + 250a b - 262a b - 3545a b - 7359a b +--R + +--R 7 8 +--R - 6132a b - 1848a +--R * +--R 5 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - a b + 41a b + 250a b - 262a b - 3545a b - 7359a b +--R + +--R 7 8 +--R - 6132a b - 1848a +--R * +--R 4 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 12a b + 11a b + 445a b + 1509a b + 2151a b +--R + +--R 7 8 +--R 1428a b + 364a +--R * +--R 3 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 12a b + 11a b + 445a b + 1509a b + 2151a b +--R + +--R 7 8 +--R 1428a b + 364a +--R * +--R 2 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 +--R (- 15a b - 87a b - 199a b - 225a b - 126a b - 28a )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 +--R - 15a b - 87a b - 199a b - 225a b - 126a b - 28a +--R * +--R 2 +--R sin(x) +--R + +--R 4 4 5 3 6 2 7 17 +--R (- 16a b + 16a b + 16a b - 16a b)cos(x) +--R + +--R 4 4 5 3 6 2 7 16 +--R (- 16a b + 16a b + 16a b - 16a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 15 +--R (40a b + 32a b - 144a b - 32a b + 104a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 14 +--R (40a b + 32a b - 144a b - 32a b + 104a b)cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R (- 33a b - 109a b + 126a b + 382a b - 109a b - 289a b) +--R * +--R 13 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R (- 33a b - 109a b + 126a b + 382a b - 109a b - 289a b) +--R * +--R 12 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 9a b + 77a b + 28a b - 434a b - 371a b + 469a b +--R + +--R 7 +--R 446a b +--R * +--R 11 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 9a b + 77a b + 28a b - 434a b - 371a b + 469a b +--R + +--R 7 +--R 446a b +--R * +--R 10 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 15a b - 43a b + 148a b + 449a b - 22a b - 710a b +--R + +--R 7 +--R - 415a b +--R * +--R 9 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 15a b - 43a b + 148a b + 449a b - 22a b - 710a b +--R + +--R 7 +--R - 415a b +--R * +--R 8 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 7a b - 11a b - 145a b - 143a b + 302a b + 554a b +--R + +--R 7 +--R 236a b +--R * +--R 7 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 7a b - 11a b - 145a b - 143a b + 302a b + 554a b +--R + +--R 7 +--R 236a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - a b + 12a b + 38a b - 39a b - 218a b - 233a b +--R + +--R 7 +--R - 79a b +--R * +--R 5 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - a b + 12a b + 38a b - 39a b - 218a b - 233a b +--R + +--R 7 +--R - 79a b +--R * +--R 4 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 3 +--R (- 2a b + a b + 29a b + 61a b + 49a b + 14a b)cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 2 +--R (- 2a b + a b + 29a b + 61a b + 49a b + 14a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 3 5 4 4 +--R (- a b - 4a b - 6a b - 4a b - a b)cos(x) - a b - 4a b +--R + +--R 5 3 6 2 7 +--R - 6a b - 4a b - a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 3 6 2 7 8 17 +--R (- 16a b + 16a b + 16a b - 16a )cos(x) +--R + +--R 5 3 6 2 7 8 16 +--R (- 16a b + 16a b + 16a b - 16a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 15 +--R (40a b + 32a b - 144a b - 32a b + 104a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 14 +--R (40a b + 32a b - 144a b - 32a b + 104a )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 13 +--R (- 33a b - 109a b + 126a b + 382a b - 109a b - 289a )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 12 +--R (- 33a b - 109a b + 126a b + 382a b - 109a b - 289a )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 +--R (9a b + 77a b + 28a b - 434a b - 371a b + 469a b + 446a ) +--R * +--R 11 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 +--R (9a b + 77a b + 28a b - 434a b - 371a b + 469a b + 446a ) +--R * +--R 10 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R - 15a b - 43a b + 148a b + 449a b - 22a b - 710a b +--R + +--R 8 +--R - 415a +--R * +--R 9 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R - 15a b - 43a b + 148a b + 449a b - 22a b - 710a b +--R + +--R 8 +--R - 415a +--R * +--R 8 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 +--R (7a b - 11a b - 145a b - 143a b + 302a b + 554a b + 236a ) +--R * +--R 7 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 +--R (7a b - 11a b - 145a b - 143a b + 302a b + 554a b + 236a ) +--R * +--R 6 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 +--R (- a b + 12a b + 38a b - 39a b - 218a b - 233a b - 79a ) +--R * +--R 5 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 8 +--R (- a b + 12a b + 38a b - 39a b - 218a b - 233a b - 79a ) +--R * +--R 4 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 3 +--R (- 2a b + a b + 29a b + 61a b + 49a b + 14a )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 2 +--R (- 2a b + a b + 29a b + 61a b + 49a b + 14a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 4 4 5 3 6 2 +--R (- a b - 4a b - 6a b - 4a b - a )cos(x) - a b - 4a b - 6a b +--R + +--R 7 8 +--R - 4a b - a +--R * +--R 2 +--R tan(x) +--R + +--R 4 4 5 3 6 2 9 +--R (16a b + 32a b + 16a b )cos(x) +--R + +--R 4 4 5 3 6 2 8 +--R (16a b + 32a b + 16a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 24a b - 88a b - 104a b - 40a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 6 +--R (- 24a b - 88a b - 104a b - 40a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 5 +--R (9a b + 60a b + 126a b + 108a b + 33a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 4 +--R (9a b + 60a b + 126a b + 108a b + 33a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 3 +--R (- a b - 14a b - 46a b - 64a b - 41a b - 10a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 2 +--R (- a b - 14a b - 46a b - 64a b - 41a b - 10a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 +--R (a b + 5a b + 10a b + 10a b + 5a b + a b )cos(x) + a b +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 5a b + 10a b + 10a b + 5a b + a b +--R * +--R 2 8 +--R cot(x)csc(x) sin(x) +--R + +--R 4 4 5 3 6 2 11 +--R (- 64a b - 448a b - 448a b )cos(x) +--R + +--R 4 4 5 3 6 2 10 +--R (- 64a b - 448a b - 448a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 9 +--R (144a b + 1216a b + 2576a b + 1568a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 8 +--R (144a b + 1216a b + 2576a b + 1568a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R (- 100a b - 1072a b - 3632a b - 4704a b - 2044a b ) +--R * +--R 7 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R (- 100a b - 1072a b - 3632a b - 4704a b - 2044a b ) +--R * +--R 6 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 20a b + 342a b + 1814a b + 3886a b + 3598a b +--R + +--R 6 2 +--R 1204a b +--R * +--R 5 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 20a b + 342a b + 1814a b + 3886a b + 3598a b +--R + +--R 6 2 +--R 1204a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - b - 38a b - 332a b - 1086a b - 1631a b - 1148a b +--R + +--R 6 2 +--R - 308a b +--R * +--R 3 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - b - 38a b - 332a b - 1086a b - 1631a b - 1148a b +--R + +--R 6 2 +--R - 308a b +--R * +--R 2 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R b + 18a b + 90a b + 200a b + 225a b + 126a b +--R + +--R 6 2 +--R 28a b +--R * +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R b + 18a b + 90a b + 200a b + 225a b + 126a b + 28a b +--R * +--R 2 6 +--R cot(x)csc(x) sin(x) +--R + +--R 4 4 6 2 13 +--R (- 160a b + 1120a b )cos(x) +--R + +--R 4 4 6 2 12 +--R (- 160a b + 1120a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 11 +--R (320a b + 400a b - 3360a b - 5040a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 10 +--R (320a b + 400a b - 3360a b - 5040a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R (- 194a b - 520a b + 3420a b + 12040a b + 9030a b ) +--R * +--R 9 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R (- 194a b - 520a b + 3420a b + 12040a b + 9030a b ) +--R * +--R 8 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 34a b + 178a b - 1650a b - 10010a b - 16240a b +--R + +--R 6 2 +--R - 8120a b +--R * +--R 7 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 34a b + 178a b - 1650a b - 10010a b - 16240a b +--R + +--R 6 2 +--R - 8120a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 2b - 28a b + 349a b + 3470a b + 9395a b +--R + +--R 5 3 6 2 +--R 10080a b + 3780a b +--R * +--R 5 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 2b - 28a b + 349a b + 3470a b + 9395a b +--R + +--R 5 3 6 2 +--R 10080a b + 3780a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 2b - 21a b - 448a b - 1945a b - 3480a b - 2800a b +--R + +--R 6 2 +--R - 840a b +--R * +--R 3 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 2b - 21a b - 448a b - 1945a b - 3480a b - 2800a b +--R + +--R 6 2 +--R - 840a b +--R * +--R 2 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R (15a b + 115a b + 325a b + 435a b + 280a b + 70a b ) +--R * +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 15a b + 115a b + 325a b + 435a b + 280a b + 70a b +--R * +--R 2 4 +--R cot(x)csc(x) sin(x) +--R + +--R 4 4 5 3 6 2 15 +--R (- 64a b + 448a b - 448a b )cos(x) +--R + +--R 4 4 5 3 6 2 14 +--R (- 64a b + 448a b - 448a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 13 +--R (112a b - 896a b - 784a b + 2464a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 12 +--R (112a b - 896a b - 784a b + 2464a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 11 +--R (- 52a b + 688a b + 2496a b - 2016a b - 5628a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 10 +--R (- 52a b + 688a b + 2496a b - 2016a b - 5628a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 4a b - 246a b - 1870a b - 766a b + 7042a b +--R + +--R 6 2 +--R 6860a b +--R * +--R 9 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 4a b - 246a b - 1870a b - 766a b + 7042a b +--R + +--R 6 2 +--R 6860a b +--R * +--R 8 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - b + 26a b + 514a b + 950a b - 2885a b - 8008a b +--R + +--R 6 2 +--R - 4760a b +--R * +--R 7 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - b + 26a b + 514a b + 950a b - 2885a b - 8008a b +--R + +--R 6 2 +--R - 4760a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R b - 42a b - 208a b + 470a b + 3075a b + 4284a b +--R + +--R 6 2 +--R 1848a b +--R * +--R 5 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R b - 42a b - 208a b + 470a b + 3075a b + 4284a b +--R + +--R 6 2 +--R 1848a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R (12a b - 23a b - 422a b - 1087a b - 1064a b - 364a b ) +--R * +--R 3 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R (12a b - 23a b - 422a b - 1087a b - 1064a b - 364a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 2 6 +--R (15a b + 72a b + 127a b + 98a b + 28a b )cos(x) + 15a b +--R + +--R 3 5 4 4 5 3 6 2 +--R 72a b + 127a b + 98a b + 28a b +--R * +--R 2 2 +--R cot(x)csc(x) sin(x) +--R + +--R 4 4 5 3 6 2 17 +--R (16a b - 32a b + 16a b )cos(x) +--R + +--R 4 4 5 3 6 2 16 +--R (16a b - 32a b + 16a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 15 +--R (- 40a b + 8a b + 136a b - 104a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 14 +--R (- 40a b + 8a b + 136a b - 104a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 13 +--R (33a b + 76a b - 202a b - 180a b + 289a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 12 +--R (33a b + 76a b - 202a b - 180a b + 289a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R (- 9a b - 68a b + 40a b + 394a b - 23a b - 446a b ) +--R * +--R 11 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R (- 9a b - 68a b + 40a b + 394a b - 23a b - 446a b ) +--R * +--R 10 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R (15a b + 28a b - 176a b - 273a b + 295a b + 415a b ) +--R * +--R 9 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R (15a b + 28a b - 176a b - 273a b + 295a b + 415a b ) +--R * +--R 8 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R (- 7a b + 18a b + 127a b + 16a b - 318a b - 236a b ) +--R * +--R 7 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R (- 7a b + 18a b + 127a b + 16a b - 318a b - 236a b ) +--R * +--R 6 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 5 +--R (a b - 13a b - 25a b + 64a b + 154a b + 79a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 4 +--R (a b - 13a b - 25a b + 64a b + 154a b + 79a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 3 +--R (2a b - 3a b - 26a b - 35a b - 14a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 2 +--R (2a b - 3a b - 26a b - 35a b - 14a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 3 5 4 4 5 3 +--R (a b + 3a b + 3a b + a b )cos(x) + a b + 3a b + 3a b +--R + +--R 6 2 +--R a b +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R 4 4 5 3 6 2 9 +--R (- 16a b - 32a b - 16a b )cos(x) +--R + +--R 4 4 5 3 6 2 8 +--R (- 16a b - 32a b - 16a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (24a b + 88a b + 104a b + 40a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 6 +--R (24a b + 88a b + 104a b + 40a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 5 +--R (- 9a b - 60a b - 126a b - 108a b - 33a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 4 +--R (- 9a b - 60a b - 126a b - 108a b - 33a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 3 +--R (a b + 14a b + 46a b + 64a b + 41a b + 10a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 2 +--R (a b + 14a b + 46a b + 64a b + 41a b + 10a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 +--R (- a b - 5a b - 10a b - 10a b - 5a b - a b )cos(x) - a b +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 5a b - 10a b - 10a b - 5a b - a b +--R * +--R 2 8 +--R csc(x) sin(x) +--R + +--R 4 4 5 3 6 2 11 +--R (64a b + 448a b + 448a b )cos(x) +--R + +--R 4 4 5 3 6 2 10 +--R (64a b + 448a b + 448a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 9 +--R (- 144a b - 1216a b - 2576a b - 1568a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 8 +--R (- 144a b - 1216a b - 2576a b - 1568a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R (100a b + 1072a b + 3632a b + 4704a b + 2044a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 6 +--R (100a b + 1072a b + 3632a b + 4704a b + 2044a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 20a b - 342a b - 1814a b - 3886a b - 3598a b +--R + +--R 6 2 +--R - 1204a b +--R * +--R 5 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 20a b - 342a b - 1814a b - 3886a b - 3598a b +--R + +--R 6 2 +--R - 1204a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R b + 38a b + 332a b + 1086a b + 1631a b + 1148a b +--R + +--R 6 2 +--R 308a b +--R * +--R 3 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R b + 38a b + 332a b + 1086a b + 1631a b + 1148a b +--R + +--R 6 2 +--R 308a b +--R * +--R 2 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R (- b - 18a b - 90a b - 200a b - 225a b - 126a b - 28a b ) +--R * +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R - b - 18a b - 90a b - 200a b - 225a b - 126a b - 28a b +--R * +--R 2 6 +--R csc(x) sin(x) +--R + +--R 4 4 6 2 13 4 4 6 2 12 +--R (160a b - 1120a b )cos(x) + (160a b - 1120a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 11 +--R (- 320a b - 400a b + 3360a b + 5040a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 10 +--R (- 320a b - 400a b + 3360a b + 5040a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 9 +--R (194a b + 520a b - 3420a b - 12040a b - 9030a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 8 +--R (194a b + 520a b - 3420a b - 12040a b - 9030a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 34a b - 178a b + 1650a b + 10010a b + 16240a b +--R + +--R 6 2 +--R 8120a b +--R * +--R 7 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 34a b - 178a b + 1650a b + 10010a b + 16240a b +--R + +--R 6 2 +--R 8120a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 2b + 28a b - 349a b - 3470a b - 9395a b - 10080a b +--R + +--R 6 2 +--R - 3780a b +--R * +--R 5 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 2b + 28a b - 349a b - 3470a b - 9395a b - 10080a b +--R + +--R 6 2 +--R - 3780a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 2b + 21a b + 448a b + 1945a b + 3480a b + 2800a b +--R + +--R 6 2 +--R 840a b +--R * +--R 3 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 2b + 21a b + 448a b + 1945a b + 3480a b + 2800a b +--R + +--R 6 2 +--R 840a b +--R * +--R 2 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R (- 15a b - 115a b - 325a b - 435a b - 280a b - 70a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 15a b - 115a b - 325a b - 435a b - 280a b - 70a b +--R * +--R 2 4 +--R csc(x) sin(x) +--R + +--R 4 4 5 3 6 2 15 +--R (64a b - 448a b + 448a b )cos(x) +--R + +--R 4 4 5 3 6 2 14 +--R (64a b - 448a b + 448a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 13 +--R (- 112a b + 896a b + 784a b - 2464a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 12 +--R (- 112a b + 896a b + 784a b - 2464a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 11 +--R (52a b - 688a b - 2496a b + 2016a b + 5628a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 10 +--R (52a b - 688a b - 2496a b + 2016a b + 5628a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R (- 4a b + 246a b + 1870a b + 766a b - 7042a b - 6860a b ) +--R * +--R 9 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R (- 4a b + 246a b + 1870a b + 766a b - 7042a b - 6860a b ) +--R * +--R 8 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R b - 26a b - 514a b - 950a b + 2885a b + 8008a b +--R + +--R 6 2 +--R 4760a b +--R * +--R 7 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R b - 26a b - 514a b - 950a b + 2885a b + 8008a b +--R + +--R 6 2 +--R 4760a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - b + 42a b + 208a b - 470a b - 3075a b - 4284a b +--R + +--R 6 2 +--R - 1848a b +--R * +--R 5 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - b + 42a b + 208a b - 470a b - 3075a b - 4284a b +--R + +--R 6 2 +--R - 1848a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R (- 12a b + 23a b + 422a b + 1087a b + 1064a b + 364a b ) +--R * +--R 3 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R (- 12a b + 23a b + 422a b + 1087a b + 1064a b + 364a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 2 6 +--R (- 15a b - 72a b - 127a b - 98a b - 28a b )cos(x) - 15a b +--R + +--R 3 5 4 4 5 3 6 2 +--R - 72a b - 127a b - 98a b - 28a b +--R * +--R 2 2 +--R csc(x) sin(x) +--R + +--R 4 4 5 3 6 2 17 +--R (- 16a b + 32a b - 16a b )cos(x) +--R + +--R 4 4 5 3 6 2 16 +--R (- 16a b + 32a b - 16a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 15 +--R (40a b - 8a b - 136a b + 104a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 14 +--R (40a b - 8a b - 136a b + 104a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 13 +--R (- 33a b - 76a b + 202a b + 180a b - 289a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 12 +--R (- 33a b - 76a b + 202a b + 180a b - 289a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 11 +--R (9a b + 68a b - 40a b - 394a b + 23a b + 446a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 10 +--R (9a b + 68a b - 40a b - 394a b + 23a b + 446a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R (- 15a b - 28a b + 176a b + 273a b - 295a b - 415a b ) +--R * +--R 9 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R (- 15a b - 28a b + 176a b + 273a b - 295a b - 415a b ) +--R * +--R 8 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 7 +--R (7a b - 18a b - 127a b - 16a b + 318a b + 236a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 6 +--R (7a b - 18a b - 127a b - 16a b + 318a b + 236a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 5 +--R (- a b + 13a b + 25a b - 64a b - 154a b - 79a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 4 +--R (- a b + 13a b + 25a b - 64a b - 154a b - 79a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 3 +--R (- 2a b + 3a b + 26a b + 35a b + 14a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 2 +--R (- 2a b + 3a b + 26a b + 35a b + 14a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 3 5 4 4 5 3 6 2 +--R (- a b - 3a b - 3a b - a b )cos(x) - a b - 3a b - 3a b - a b +--R * +--R 2 +--R csc(x) +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 4 4 5 3 6 2 7 10 +--R (- 128a b - 512a b - 640a b - 256a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (288a b + 1632a b + 3296a b + 2848a b + 896a b) +--R * +--R 8 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 208a b - 1648a b - 4864a b - 6784a b - 4528a b +--R + +--R 7 +--R - 1168a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 52a b + 628a b + 2680a b + 5480a b + 5860a b +--R + +--R 6 2 7 +--R 3172a b + 688a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 4b - 92a b - 576a b - 1640a b - 2500a b +--R + +--R 5 3 6 2 7 +--R - 2124a b - 952a b - 176a b +--R * +--R 2 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 4b + 40a b + 156a b + 320a b + 380a b + 264a b +--R + +--R 6 2 7 +--R 100a b + 16a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 3 6 2 7 8 10 +--R (- 128a b - 512a b - 640a b - 256a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 8 +--R (288a b + 1632a b + 3296a b + 2848a b + 896a )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R - 208a b - 1648a b - 4864a b - 6784a b - 4528a b +--R + +--R 8 +--R - 1168a +--R * +--R 6 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 52a b + 628a b + 2680a b + 5480a b + 5860a b +--R + +--R 7 8 +--R 3172a b + 688a +--R * +--R 4 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 4a b - 92a b - 576a b - 1640a b - 2500a b +--R + +--R 6 2 7 8 +--R - 2124a b - 952a b - 176a +--R * +--R 2 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 4a b + 40a b + 156a b + 320a b + 380a b + 264a b +--R + +--R 7 8 +--R 100a b + 16a +--R * +--R 7 +--R sin(x) +--R + +--R 4 4 5 3 6 2 7 12 +--R (- 128a b + 768a b + 2688a b + 1792a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (224a b - 2144a b - 12000a b - 17696a b - 8064a b) +--R * +--R 10 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 +--R - 80a b + 2544a b + 18464a b + 43168a b +--R + +--R 6 2 7 +--R 41776a b + 14448a b +--R * +--R 8 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R - 20a b - 1420a b - 12608a b - 41728a b +--R + +--R 5 3 6 2 7 +--R - 64204a b - 46676a b - 12992a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 4b + 288a b + 3708a b + 17304a b + 38532a b +--R + +--R 5 3 6 2 7 +--R 44616a b + 26012a b + 6048a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 16b - 412a b - 2860a b - 8984a b - 15016a b +--R + +--R 5 3 6 2 7 +--R - 13900a b - 6748a b - 1344a b +--R * +--R 2 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 12b + 144a b + 652a b + 1520a b + 2020a b + 1552a b +--R + +--R 6 2 7 +--R 644a b + 112a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 3 6 2 7 8 12 +--R (- 128a b + 768a b + 2688a b + 1792a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 10 +--R (224a b - 2144a b - 12000a b - 17696a b - 8064a )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R - 80a b + 2544a b + 18464a b + 43168a b + 41776a b +--R + +--R 8 +--R 14448a +--R * +--R 8 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 20a b - 1420a b - 12608a b - 41728a b - 64204a b +--R + +--R 7 8 +--R - 46676a b - 12992a +--R * +--R 6 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 4a b + 288a b + 3708a b + 17304a b + 38532a b +--R + +--R 6 2 7 8 +--R 44616a b + 26012a b + 6048a +--R * +--R 4 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 16a b - 412a b - 2860a b - 8984a b - 15016a b +--R + +--R 6 2 7 8 +--R - 13900a b - 6748a b - 1344a +--R * +--R 2 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 12a b + 144a b + 652a b + 1520a b + 2020a b + 1552a b +--R + +--R 7 8 +--R 644a b + 112a +--R * +--R 5 +--R sin(x) +--R + +--R 4 4 5 3 6 2 7 14 +--R (128a b + 1024a b - 896a b - 1792a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 416a b - 3552a b - 1120a b + 11872a b + 9856a b) +--R * +--R 12 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 464a b + 4528a b + 6464a b - 17984a b - 42896a b +--R + +--R 7 +--R - 22512a b +--R * +--R 10 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 +--R - 196a b - 2484a b - 6536a b + 10920a b +--R + +--R 5 3 6 2 7 +--R 59100a b + 71372a b + 27440a b +--R * +--R 8 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 20b + 524a b + 2376a b - 3408a b - 36540a b +--R + +--R 5 3 6 2 7 +--R - 74828a b - 62608a b - 19040a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 36b - 336a b + 596a b + 10676a b + 32904a b +--R + +--R 5 3 6 2 7 +--R 45020a b + 29288a b + 7392a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 16b - 32a b - 1252a b - 5756a b - 11772a b +--R + +--R 5 3 6 2 7 +--R - 12484a b - 6720a b - 1456a b +--R * +--R 2 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 40a b + 300a b + 912a b + 1448a b + 1272a b +--R + +--R 6 2 7 +--R 588a b + 112a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 3 6 2 7 8 14 +--R (128a b + 1024a b - 896a b - 1792a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 12 +--R (- 416a b - 3552a b - 1120a b + 11872a b + 9856a )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R 464a b + 4528a b + 6464a b - 17984a b - 42896a b +--R + +--R 8 +--R - 22512a +--R * +--R 10 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 196a b - 2484a b - 6536a b + 10920a b + 59100a b +--R + +--R 7 8 +--R 71372a b + 27440a +--R * +--R 8 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 20a b + 524a b + 2376a b - 3408a b - 36540a b +--R + +--R 6 2 7 8 +--R - 74828a b - 62608a b - 19040a +--R * +--R 6 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 36a b - 336a b + 596a b + 10676a b + 32904a b +--R + +--R 6 2 7 8 +--R 45020a b + 29288a b + 7392a +--R * +--R 4 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 16a b - 32a b - 1252a b - 5756a b - 11772a b +--R + +--R 6 2 7 8 +--R - 12484a b - 6720a b - 1456a +--R * +--R 2 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R 40a b + 300a b + 912a b + 1448a b + 1272a b + 588a b +--R + +--R 8 +--R 112a +--R * +--R 3 +--R sin(x) +--R + +--R 4 4 5 3 6 2 7 16 +--R (128a b - 256a b - 128a b + 256a b)cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R (- 352a b + 224a b + 1888a b - 352a b - 1664a b) +--R * +--R 14 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 336a b + 336a b - 3296a b - 3680a b + 4240a b +--R + +--R 7 +--R 4624a b +--R * +--R 12 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 124a b - 436a b + 2096a b + 6800a b + 12a b +--R + +--R 6 2 7 +--R - 11516a b - 7136a b +--R * +--R 10 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 12b + 144a b - 548a b - 4192a b - 4036a b +--R + +--R 5 3 6 2 7 +--R 8096a b + 15260a b + 6640a b +--R * +--R 8 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 16b + 36a b + 1012a b + 2276a b - 1916a b +--R + +--R 5 3 6 2 7 +--R - 10648a b - 11192a b - 3776a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 4b - 72a b - 376a b + 136a b + 3116a b +--R + +--R 5 3 6 2 7 +--R 5968a b + 4552a b + 1264a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 3 5 4 4 5 3 6 2 +--R 16a b - 364a b - 1156a b - 1524a b - 940a b +--R + +--R 7 +--R - 224a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 7 +--R 12a b + 64a b + 136a b + 144a b + 76a b + 16a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 3 6 2 7 8 16 +--R (128a b - 256a b - 128a b + 256a )cos(x) +--R + +--R 4 4 5 3 6 2 7 8 14 +--R (- 352a b + 224a b + 1888a b - 352a b - 1664a )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 +--R 336a b + 336a b - 3296a b - 3680a b + 4240a b +--R + +--R 8 +--R 4624a +--R * +--R 12 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 124a b - 436a b + 2096a b + 6800a b + 12a b +--R + +--R 7 8 +--R - 11516a b - 7136a +--R * +--R 10 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 12a b + 144a b - 548a b - 4192a b - 4036a b +--R + +--R 6 2 7 8 +--R 8096a b + 15260a b + 6640a +--R * +--R 8 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 16a b + 36a b + 1012a b + 2276a b - 1916a b +--R + +--R 6 2 7 8 +--R - 10648a b - 11192a b - 3776a +--R * +--R 6 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 4a b - 72a b - 376a b + 136a b + 3116a b + 5968a b +--R + +--R 7 8 +--R 4552a b + 1264a +--R * +--R 4 +--R cos(x) +--R + +--R 2 6 4 4 5 3 6 2 7 8 +--R (16a b - 364a b - 1156a b - 1524a b - 940a b - 224a ) +--R * +--R 2 +--R cos(x) +--R + +--R 3 5 4 4 5 3 6 2 7 8 +--R 12a b + 64a b + 136a b + 144a b + 76a b + 16a +--R * +--R sin(x) +--R * +--R 2 +--R tan(x) +--R + +--R 4 4 5 3 6 2 10 +--R (128a b + 384a b + 256a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 8 +--R (- 288a b - 1344a b - 1952a b - 896a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 6 +--R (208a b + 1440a b + 3424a b + 3360a b + 1168a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 52a b - 576a b - 2104a b - 3376a b - 2484a b +--R + +--R 6 2 +--R - 688a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 4b + 88a b + 488a b + 1152a b + 1348a b + 776a b +--R + +--R 6 2 +--R 176a b +--R * +--R 2 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R - 4b - 36a b - 120a b - 200a b - 180a b - 84a b - 16a b +--R * +--R 2 7 +--R cot(x)csc(x) sin(x) +--R + +--R 4 4 5 3 6 2 12 +--R (128a b - 896a b - 1792a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 10 +--R (- 224a b + 2368a b + 9632a b + 8064a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R (80a b - 2624a b - 15840a b - 27328a b - 14448a b ) +--R * +--R 8 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 20a b + 1400a b + 11208a b + 30520a b + 33684a b +--R + +--R 6 2 +--R 12992a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 4b - 284a b - 3424a b - 13880a b - 24652a b +--R + +--R 5 3 6 2 +--R - 19964a b - 6048a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 16b + 396a b + 2464a b + 6520a b + 8496a b +--R + +--R 5 3 6 2 +--R 5404a b + 1344a b +--R * +--R 2 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 12b - 132a b - 520a b - 1000a b - 1020a b - 532a b +--R + +--R 6 2 +--R - 112a b +--R * +--R 2 5 +--R cot(x)csc(x) sin(x) +--R + +--R 4 4 5 3 6 2 14 +--R (- 128a b - 896a b + 1792a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 12 +--R (416a b + 3136a b - 2016a b - 9856a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R (- 464a b - 4064a b - 2400a b + 20384a b + 22512a b ) +--R * +--R 10 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 196a b + 2288a b + 4248a b - 15168a b - 43932a b +--R + +--R 6 2 +--R - 27440a b +--R * +--R 8 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 20b - 504a b - 1872a b + 5280a b + 31260a b +--R + +--R 5 3 6 2 +--R 43568a b + 19040a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R 36b + 300a b - 896a b - 9780a b - 23124a b +--R + +--R 5 3 6 2 +--R - 21896a b - 7392a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 16b + 48a b + 1204a b + 4552a b + 7220a b +--R + +--R 5 3 6 2 +--R 5264a b + 1456a b +--R * +--R 2 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R - 40a b - 260a b - 652a b - 796a b - 476a b - 112a b +--R * +--R 2 3 +--R cot(x)csc(x) sin(x) +--R + +--R 4 4 5 3 6 2 16 +--R (- 128a b + 384a b - 256a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 14 +--R (352a b - 576a b - 1312a b + 1664a b )cos(x) +--R + +--R 2 6 4 4 5 3 6 2 12 +--R (- 336a b + 3296a b + 384a b - 4624a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R 124a b + 312a b - 2408a b - 4392a b + 4380a b +--R + +--R 6 2 +--R 7136a b +--R * +--R 10 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 +--R - 12b - 132a b + 680a b + 3512a b + 524a b +--R + +--R 5 3 6 2 +--R - 8620a b - 6640a b +--R * +--R 8 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 16b - 52a b - 960a b - 1316a b + 3232a b + 7416a b +--R + +--R 6 2 +--R 3776a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 4b + 76a b + 300a b - 436a b - 2680a b - 3288a b +--R + +--R 6 2 +--R - 1264a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R (- 16a b + 16a b + 348a b + 808a b + 716a b + 224a b ) +--R * +--R 2 +--R cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R - 12a b - 52a b - 84a b - 60a b - 16a b +--R * +--R 2 +--R cot(x)csc(x) sin(x) +--R * +--R tan(x) +--R + +--R 4 4 5 3 6 2 10 +--R (- 128a b - 384a b - 256a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 8 +--R (288a b + 1344a b + 1952a b + 896a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 6 +--R (- 208a b - 1440a b - 3424a b - 3360a b - 1168a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R (52a b + 576a b + 2104a b + 3376a b + 2484a b + 688a b ) +--R * +--R 4 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 4b - 88a b - 488a b - 1152a b - 1348a b - 776a b +--R + +--R 6 2 +--R - 176a b +--R * +--R 2 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R 4b + 36a b + 120a b + 200a b + 180a b + 84a b + 16a b +--R * +--R 2 7 +--R csc(x) sin(x) +--R + +--R 4 4 5 3 6 2 12 +--R (- 128a b + 896a b + 1792a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 10 +--R (224a b - 2368a b - 9632a b - 8064a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 8 +--R (- 80a b + 2624a b + 15840a b + 27328a b + 14448a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 20a b - 1400a b - 11208a b - 30520a b - 33684a b +--R + +--R 6 2 +--R - 12992a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 4b + 284a b + 3424a b + 13880a b + 24652a b + 19964a b +--R + +--R 6 2 +--R 6048a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 16b - 396a b - 2464a b - 6520a b - 8496a b - 5404a b +--R + +--R 6 2 +--R - 1344a b +--R * +--R 2 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 6 2 +--R 12b + 132a b + 520a b + 1000a b + 1020a b + 532a b + 112a b +--R * +--R 2 5 +--R csc(x) sin(x) +--R + +--R 4 4 5 3 6 2 14 +--R (128a b + 896a b - 1792a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 12 +--R (- 416a b - 3136a b + 2016a b + 9856a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 10 +--R (464a b + 4064a b + 2400a b - 20384a b - 22512a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 196a b - 2288a b - 4248a b + 15168a b + 43932a b +--R + +--R 6 2 +--R 27440a b +--R * +--R 8 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 20b + 504a b + 1872a b - 5280a b - 31260a b - 43568a b +--R + +--R 6 2 +--R - 19040a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 36b - 300a b + 896a b + 9780a b + 23124a b + 21896a b +--R + +--R 6 2 +--R 7392a b +--R * +--R 4 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 16b - 48a b - 1204a b - 4552a b - 7220a b - 5264a b +--R + +--R 6 2 +--R - 1456a b +--R * +--R 2 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 +--R 40a b + 260a b + 652a b + 796a b + 476a b + 112a b +--R * +--R 2 3 +--R csc(x) sin(x) +--R + +--R 4 4 5 3 6 2 16 +--R (128a b - 384a b + 256a b )cos(x) +--R + +--R 3 5 4 4 5 3 6 2 14 +--R (- 352a b + 576a b + 1312a b - 1664a b )cos(x) +--R + +--R 2 6 4 4 5 3 6 2 12 +--R (336a b - 3296a b - 384a b + 4624a b )cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 +--R - 124a b - 312a b + 2408a b + 4392a b - 4380a b +--R + +--R 6 2 +--R - 7136a b +--R * +--R 10 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 12b + 132a b - 680a b - 3512a b - 524a b + 8620a b +--R + +--R 6 2 +--R 6640a b +--R * +--R 8 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R - 16b + 52a b + 960a b + 1316a b - 3232a b - 7416a b +--R + +--R 6 2 +--R - 3776a b +--R * +--R 6 +--R cos(x) +--R + +--R 8 7 2 6 3 5 4 4 5 3 +--R 4b - 76a b - 300a b + 436a b + 2680a b + 3288a b +--R + +--R 6 2 +--R 1264a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 2 6 3 5 4 4 5 3 6 2 2 +--R (16a b - 16a b - 348a b - 808a b - 716a b - 224a b )cos(x) +--R + +--R 2 6 3 5 4 4 5 3 6 2 +--R 12a b + 52a b + 84a b + 60a b + 16a b +--R * +--R 2 +--R csc(x) sin(x) +--R * +--R +-+ +--R \|a +--R / +--R 4 3 5 2 6 9 +--R (16a b + 32a b + 16a b)cos(x) +--R + +--R 4 3 5 2 6 8 +--R (16a b + 32a b + 16a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 7 +--R (- 24a b - 88a b - 104a b - 40a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 6 +--R (- 24a b - 88a b - 104a b - 40a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 5 +--R (9a b + 60a b + 126a b + 108a b + 33a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 4 +--R (9a b + 60a b + 126a b + 108a b + 33a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (- a b - 14a b - 46a b - 64a b - 41a b - 10a b) +--R * +--R 3 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (- a b - 14a b - 46a b - 64a b - 41a b - 10a b) +--R * +--R 2 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (a b + 5a b + 10a b + 10a b + 5a b + a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R a b + 5a b + 10a b + 10a b + 5a b + a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 2 6 7 9 +--R (16a b + 32a b + 16a )cos(x) +--R + +--R 5 2 6 7 8 +--R (16a b + 32a b + 16a )cos(x) +--R + +--R 4 3 5 2 6 7 7 +--R (- 24a b - 88a b - 104a b - 40a )cos(x) +--R + +--R 4 3 5 2 6 7 6 +--R (- 24a b - 88a b - 104a b - 40a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 5 +--R (9a b + 60a b + 126a b + 108a b + 33a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 4 +--R (9a b + 60a b + 126a b + 108a b + 33a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 3 +--R (- a b - 14a b - 46a b - 64a b - 41a b - 10a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 2 +--R (- a b - 14a b - 46a b - 64a b - 41a b - 10a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 2 5 +--R (a b + 5a b + 10a b + 10a b + 5a b + a )cos(x) + a b +--R + +--R 3 4 4 3 5 2 6 7 +--R 5a b + 10a b + 10a b + 5a b + a +--R * +--R 8 +--R sin(x) +--R + +--R 4 3 5 2 6 11 +--R (- 64a b - 448a b - 448a b)cos(x) +--R + +--R 4 3 5 2 6 10 +--R (- 64a b - 448a b - 448a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 9 +--R (144a b + 1216a b + 2576a b + 1568a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 8 +--R (144a b + 1216a b + 2576a b + 1568a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 +--R - 100a b - 1072a b - 3632a b - 4704a b +--R + +--R 6 +--R - 2044a b +--R * +--R 7 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 +--R - 100a b - 1072a b - 3632a b - 4704a b +--R + +--R 6 +--R - 2044a b +--R * +--R 6 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 20a b + 342a b + 1814a b + 3886a b + 3598a b +--R + +--R 6 +--R 1204a b +--R * +--R 5 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 20a b + 342a b + 1814a b + 3886a b + 3598a b +--R + +--R 6 +--R 1204a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - b - 38a b - 332a b - 1086a b - 1631a b +--R + +--R 5 2 6 +--R - 1148a b - 308a b +--R * +--R 3 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - b - 38a b - 332a b - 1086a b - 1631a b +--R + +--R 5 2 6 +--R - 1148a b - 308a b +--R * +--R 2 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R b + 18a b + 90a b + 200a b + 225a b + 126a b +--R + +--R 6 +--R 28a b +--R * +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R b + 18a b + 90a b + 200a b + 225a b + 126a b +--R + +--R 6 +--R 28a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 2 6 7 11 +--R (- 64a b - 448a b - 448a )cos(x) +--R + +--R 5 2 6 7 10 +--R (- 64a b - 448a b - 448a )cos(x) +--R + +--R 4 3 5 2 6 7 9 +--R (144a b + 1216a b + 2576a b + 1568a )cos(x) +--R + +--R 4 3 5 2 6 7 8 +--R (144a b + 1216a b + 2576a b + 1568a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 7 +--R (- 100a b - 1072a b - 3632a b - 4704a b - 2044a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 6 +--R (- 100a b - 1072a b - 3632a b - 4704a b - 2044a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R 20a b + 342a b + 1814a b + 3886a b + 3598a b +--R + +--R 7 +--R 1204a +--R * +--R 5 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R 20a b + 342a b + 1814a b + 3886a b + 3598a b +--R + +--R 7 +--R 1204a +--R * +--R 4 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - a b - 38a b - 332a b - 1086a b - 1631a b +--R + +--R 6 7 +--R - 1148a b - 308a +--R * +--R 3 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - a b - 38a b - 332a b - 1086a b - 1631a b +--R + +--R 6 7 +--R - 1148a b - 308a +--R * +--R 2 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R a b + 18a b + 90a b + 200a b + 225a b + 126a b +--R + +--R 7 +--R 28a +--R * +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R a b + 18a b + 90a b + 200a b + 225a b + 126a b + 28a +--R * +--R 6 +--R sin(x) +--R + +--R 4 3 6 13 +--R (- 160a b + 1120a b)cos(x) +--R + +--R 4 3 6 12 +--R (- 160a b + 1120a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 11 +--R (320a b + 400a b - 3360a b - 5040a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 10 +--R (320a b + 400a b - 3360a b - 5040a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 +--R - 194a b - 520a b + 3420a b + 12040a b +--R + +--R 6 +--R 9030a b +--R * +--R 9 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 +--R - 194a b - 520a b + 3420a b + 12040a b +--R + +--R 6 +--R 9030a b +--R * +--R 8 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 34a b + 178a b - 1650a b - 10010a b - 16240a b +--R + +--R 6 +--R - 8120a b +--R * +--R 7 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 34a b + 178a b - 1650a b - 10010a b - 16240a b +--R + +--R 6 +--R - 8120a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 2b - 28a b + 349a b + 3470a b + 9395a b +--R + +--R 5 2 6 +--R 10080a b + 3780a b +--R * +--R 5 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 2b - 28a b + 349a b + 3470a b + 9395a b +--R + +--R 5 2 6 +--R 10080a b + 3780a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 2b - 21a b - 448a b - 1945a b - 3480a b +--R + +--R 5 2 6 +--R - 2800a b - 840a b +--R * +--R 3 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 2b - 21a b - 448a b - 1945a b - 3480a b +--R + +--R 5 2 6 +--R - 2800a b - 840a b +--R * +--R 2 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 15a b + 115a b + 325a b + 435a b + 280a b +--R + +--R 6 +--R 70a b +--R * +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R 15a b + 115a b + 325a b + 435a b + 280a b + 70a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 2 7 13 5 2 7 12 +--R (- 160a b + 1120a )cos(x) + (- 160a b + 1120a )cos(x) +--R + +--R 4 3 5 2 6 7 11 +--R (320a b + 400a b - 3360a b - 5040a )cos(x) +--R + +--R 4 3 5 2 6 7 10 +--R (320a b + 400a b - 3360a b - 5040a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 9 +--R (- 194a b - 520a b + 3420a b + 12040a b + 9030a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 8 +--R (- 194a b - 520a b + 3420a b + 12040a b + 9030a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R 34a b + 178a b - 1650a b - 10010a b - 16240a b +--R + +--R 7 +--R - 8120a +--R * +--R 7 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R 34a b + 178a b - 1650a b - 10010a b - 16240a b +--R + +--R 7 +--R - 8120a +--R * +--R 6 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 2a b - 28a b + 349a b + 3470a b + 9395a b +--R + +--R 6 7 +--R 10080a b + 3780a +--R * +--R 5 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 2a b - 28a b + 349a b + 3470a b + 9395a b +--R + +--R 6 7 +--R 10080a b + 3780a +--R * +--R 4 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 2a b - 21a b - 448a b - 1945a b - 3480a b +--R + +--R 6 7 +--R - 2800a b - 840a +--R * +--R 3 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 2a b - 21a b - 448a b - 1945a b - 3480a b +--R + +--R 6 7 +--R - 2800a b - 840a +--R * +--R 2 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R (15a b + 115a b + 325a b + 435a b + 280a b + 70a ) +--R * +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R 15a b + 115a b + 325a b + 435a b + 280a b + 70a +--R * +--R 4 +--R sin(x) +--R + +--R 4 3 5 2 6 15 +--R (- 64a b + 448a b - 448a b)cos(x) +--R + +--R 4 3 5 2 6 14 +--R (- 64a b + 448a b - 448a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 13 +--R (112a b - 896a b - 784a b + 2464a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 12 +--R (112a b - 896a b - 784a b + 2464a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R (- 52a b + 688a b + 2496a b - 2016a b - 5628a b) +--R * +--R 11 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R (- 52a b + 688a b + 2496a b - 2016a b - 5628a b) +--R * +--R 10 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 4a b - 246a b - 1870a b - 766a b + 7042a b +--R + +--R 6 +--R 6860a b +--R * +--R 9 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 4a b - 246a b - 1870a b - 766a b + 7042a b +--R + +--R 6 +--R 6860a b +--R * +--R 8 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - b + 26a b + 514a b + 950a b - 2885a b +--R + +--R 5 2 6 +--R - 8008a b - 4760a b +--R * +--R 7 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - b + 26a b + 514a b + 950a b - 2885a b +--R + +--R 5 2 6 +--R - 8008a b - 4760a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R b - 42a b - 208a b + 470a b + 3075a b +--R + +--R 5 2 6 +--R 4284a b + 1848a b +--R * +--R 5 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R b - 42a b - 208a b + 470a b + 3075a b +--R + +--R 5 2 6 +--R 4284a b + 1848a b +--R * +--R 4 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 12a b - 23a b - 422a b - 1087a b - 1064a b +--R + +--R 6 +--R - 364a b +--R * +--R 3 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 12a b - 23a b - 422a b - 1087a b - 1064a b +--R + +--R 6 +--R - 364a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R (15a b + 72a b + 127a b + 98a b + 28a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R 15a b + 72a b + 127a b + 98a b + 28a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 2 6 7 15 +--R (- 64a b + 448a b - 448a )cos(x) +--R + +--R 5 2 6 7 14 +--R (- 64a b + 448a b - 448a )cos(x) +--R + +--R 4 3 5 2 6 7 13 +--R (112a b - 896a b - 784a b + 2464a )cos(x) +--R + +--R 4 3 5 2 6 7 12 +--R (112a b - 896a b - 784a b + 2464a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 11 +--R (- 52a b + 688a b + 2496a b - 2016a b - 5628a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 10 +--R (- 52a b + 688a b + 2496a b - 2016a b - 5628a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R (4a b - 246a b - 1870a b - 766a b + 7042a b + 6860a ) +--R * +--R 9 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R (4a b - 246a b - 1870a b - 766a b + 7042a b + 6860a ) +--R * +--R 8 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - a b + 26a b + 514a b + 950a b - 2885a b +--R + +--R 6 7 +--R - 8008a b - 4760a +--R * +--R 7 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - a b + 26a b + 514a b + 950a b - 2885a b +--R + +--R 6 7 +--R - 8008a b - 4760a +--R * +--R 6 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R a b - 42a b - 208a b + 470a b + 3075a b + 4284a b +--R + +--R 7 +--R 1848a +--R * +--R 5 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R a b - 42a b - 208a b + 470a b + 3075a b + 4284a b +--R + +--R 7 +--R 1848a +--R * +--R 4 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R (12a b - 23a b - 422a b - 1087a b - 1064a b - 364a ) +--R * +--R 3 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R (12a b - 23a b - 422a b - 1087a b - 1064a b - 364a ) +--R * +--R 2 +--R cos(x) +--R + +--R 3 4 4 3 5 2 6 7 3 4 +--R (15a b + 72a b + 127a b + 98a b + 28a )cos(x) + 15a b +--R + +--R 4 3 5 2 6 7 +--R 72a b + 127a b + 98a b + 28a +--R * +--R 2 +--R sin(x) +--R + +--R 4 3 5 2 6 17 +--R (16a b - 32a b + 16a b)cos(x) +--R + +--R 4 3 5 2 6 16 +--R (16a b - 32a b + 16a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 15 +--R (- 40a b + 8a b + 136a b - 104a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 14 +--R (- 40a b + 8a b + 136a b - 104a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 13 +--R (33a b + 76a b - 202a b - 180a b + 289a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 12 +--R (33a b + 76a b - 202a b - 180a b + 289a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (- 9a b - 68a b + 40a b + 394a b - 23a b - 446a b) +--R * +--R 11 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (- 9a b - 68a b + 40a b + 394a b - 23a b - 446a b) +--R * +--R 10 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (15a b + 28a b - 176a b - 273a b + 295a b + 415a b) +--R * +--R 9 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (15a b + 28a b - 176a b - 273a b + 295a b + 415a b) +--R * +--R 8 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (- 7a b + 18a b + 127a b + 16a b - 318a b - 236a b) +--R * +--R 7 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (- 7a b + 18a b + 127a b + 16a b - 318a b - 236a b) +--R * +--R 6 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 5 +--R (a b - 13a b - 25a b + 64a b + 154a b + 79a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 4 +--R (a b - 13a b - 25a b + 64a b + 154a b + 79a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 3 +--R (2a b - 3a b - 26a b - 35a b - 14a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 2 +--R (2a b - 3a b - 26a b - 35a b - 14a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 3 4 4 3 5 2 +--R (a b + 3a b + 3a b + a b)cos(x) + a b + 3a b + 3a b +--R + +--R 6 +--R a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 2 6 7 17 +--R (16a b - 32a b + 16a )cos(x) +--R + +--R 5 2 6 7 16 +--R (16a b - 32a b + 16a )cos(x) +--R + +--R 4 3 5 2 6 7 15 +--R (- 40a b + 8a b + 136a b - 104a )cos(x) +--R + +--R 4 3 5 2 6 7 14 +--R (- 40a b + 8a b + 136a b - 104a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 13 +--R (33a b + 76a b - 202a b - 180a b + 289a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 12 +--R (33a b + 76a b - 202a b - 180a b + 289a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 11 +--R (- 9a b - 68a b + 40a b + 394a b - 23a b - 446a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 10 +--R (- 9a b - 68a b + 40a b + 394a b - 23a b - 446a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 9 +--R (15a b + 28a b - 176a b - 273a b + 295a b + 415a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 8 +--R (15a b + 28a b - 176a b - 273a b + 295a b + 415a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 7 +--R (- 7a b + 18a b + 127a b + 16a b - 318a b - 236a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 6 +--R (- 7a b + 18a b + 127a b + 16a b - 318a b - 236a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 5 +--R (a b - 13a b - 25a b + 64a b + 154a b + 79a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 4 +--R (a b - 13a b - 25a b + 64a b + 154a b + 79a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 3 +--R (2a b - 3a b - 26a b - 35a b - 14a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 2 +--R (2a b - 3a b - 26a b - 35a b - 14a )cos(x) +--R + +--R 4 3 5 2 6 7 4 3 5 2 6 7 +--R (a b + 3a b + 3a b + a )cos(x) + a b + 3a b + 3a b + a +--R * +--R 2 +--R tan(x) +--R + +--R 4 3 5 2 6 9 +--R (- 16a b - 32a b - 16a b)cos(x) +--R + +--R 4 3 5 2 6 8 +--R (- 16a b - 32a b - 16a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 7 +--R (24a b + 88a b + 104a b + 40a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 6 +--R (24a b + 88a b + 104a b + 40a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 5 +--R (- 9a b - 60a b - 126a b - 108a b - 33a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 4 +--R (- 9a b - 60a b - 126a b - 108a b - 33a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 3 +--R (a b + 14a b + 46a b + 64a b + 41a b + 10a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 2 +--R (a b + 14a b + 46a b + 64a b + 41a b + 10a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 6 +--R (- a b - 5a b - 10a b - 10a b - 5a b - a b)cos(x) - a b +--R + +--R 2 5 3 4 4 3 5 2 6 +--R - 5a b - 10a b - 10a b - 5a b - a b +--R * +--R 8 +--R sin(x) +--R + +--R 4 3 5 2 6 11 +--R (64a b + 448a b + 448a b)cos(x) +--R + +--R 4 3 5 2 6 10 +--R (64a b + 448a b + 448a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 9 +--R (- 144a b - 1216a b - 2576a b - 1568a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 8 +--R (- 144a b - 1216a b - 2576a b - 1568a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R (100a b + 1072a b + 3632a b + 4704a b + 2044a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 6 +--R (100a b + 1072a b + 3632a b + 4704a b + 2044a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 20a b - 342a b - 1814a b - 3886a b - 3598a b +--R + +--R 6 +--R - 1204a b +--R * +--R 5 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 20a b - 342a b - 1814a b - 3886a b - 3598a b +--R + +--R 6 +--R - 1204a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R b + 38a b + 332a b + 1086a b + 1631a b + 1148a b +--R + +--R 6 +--R 308a b +--R * +--R 3 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R b + 38a b + 332a b + 1086a b + 1631a b + 1148a b +--R + +--R 6 +--R 308a b +--R * +--R 2 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - b - 18a b - 90a b - 200a b - 225a b - 126a b +--R + +--R 6 +--R - 28a b +--R * +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R - b - 18a b - 90a b - 200a b - 225a b - 126a b - 28a b +--R * +--R 6 +--R sin(x) +--R + +--R 4 3 6 13 4 3 6 12 +--R (160a b - 1120a b)cos(x) + (160a b - 1120a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 11 +--R (- 320a b - 400a b + 3360a b + 5040a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 10 +--R (- 320a b - 400a b + 3360a b + 5040a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 9 +--R (194a b + 520a b - 3420a b - 12040a b - 9030a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 8 +--R (194a b + 520a b - 3420a b - 12040a b - 9030a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 34a b - 178a b + 1650a b + 10010a b + 16240a b +--R + +--R 6 +--R 8120a b +--R * +--R 7 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 34a b - 178a b + 1650a b + 10010a b + 16240a b +--R + +--R 6 +--R 8120a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 2b + 28a b - 349a b - 3470a b - 9395a b - 10080a b +--R + +--R 6 +--R - 3780a b +--R * +--R 5 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 2b + 28a b - 349a b - 3470a b - 9395a b - 10080a b +--R + +--R 6 +--R - 3780a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 2b + 21a b + 448a b + 1945a b + 3480a b + 2800a b +--R + +--R 6 +--R 840a b +--R * +--R 3 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 2b + 21a b + 448a b + 1945a b + 3480a b + 2800a b +--R + +--R 6 +--R 840a b +--R * +--R 2 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (- 15a b - 115a b - 325a b - 435a b - 280a b - 70a b) +--R * +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 15a b - 115a b - 325a b - 435a b - 280a b - 70a b +--R * +--R 4 +--R sin(x) +--R + +--R 4 3 5 2 6 15 +--R (64a b - 448a b + 448a b)cos(x) +--R + +--R 4 3 5 2 6 14 +--R (64a b - 448a b + 448a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 13 +--R (- 112a b + 896a b + 784a b - 2464a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 12 +--R (- 112a b + 896a b + 784a b - 2464a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 11 +--R (52a b - 688a b - 2496a b + 2016a b + 5628a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 10 +--R (52a b - 688a b - 2496a b + 2016a b + 5628a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (- 4a b + 246a b + 1870a b + 766a b - 7042a b - 6860a b) +--R * +--R 9 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (- 4a b + 246a b + 1870a b + 766a b - 7042a b - 6860a b) +--R * +--R 8 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R b - 26a b - 514a b - 950a b + 2885a b + 8008a b +--R + +--R 6 +--R 4760a b +--R * +--R 7 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R b - 26a b - 514a b - 950a b + 2885a b + 8008a b +--R + +--R 6 +--R 4760a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - b + 42a b + 208a b - 470a b - 3075a b - 4284a b +--R + +--R 6 +--R - 1848a b +--R * +--R 5 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - b + 42a b + 208a b - 470a b - 3075a b - 4284a b +--R + +--R 6 +--R - 1848a b +--R * +--R 4 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (- 12a b + 23a b + 422a b + 1087a b + 1064a b + 364a b) +--R * +--R 3 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (- 12a b + 23a b + 422a b + 1087a b + 1064a b + 364a b) +--R * +--R 2 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 2 5 +--R (- 15a b - 72a b - 127a b - 98a b - 28a b)cos(x) - 15a b +--R + +--R 3 4 4 3 5 2 6 +--R - 72a b - 127a b - 98a b - 28a b +--R * +--R 2 +--R sin(x) +--R + +--R 4 3 5 2 6 17 +--R (- 16a b + 32a b - 16a b)cos(x) +--R + +--R 4 3 5 2 6 16 +--R (- 16a b + 32a b - 16a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 15 +--R (40a b - 8a b - 136a b + 104a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 14 +--R (40a b - 8a b - 136a b + 104a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 13 +--R (- 33a b - 76a b + 202a b + 180a b - 289a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 12 +--R (- 33a b - 76a b + 202a b + 180a b - 289a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 11 +--R (9a b + 68a b - 40a b - 394a b + 23a b + 446a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 10 +--R (9a b + 68a b - 40a b - 394a b + 23a b + 446a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 9 +--R (- 15a b - 28a b + 176a b + 273a b - 295a b - 415a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 8 +--R (- 15a b - 28a b + 176a b + 273a b - 295a b - 415a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R (7a b - 18a b - 127a b - 16a b + 318a b + 236a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 6 +--R (7a b - 18a b - 127a b - 16a b + 318a b + 236a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 5 +--R (- a b + 13a b + 25a b - 64a b - 154a b - 79a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 4 +--R (- a b + 13a b + 25a b - 64a b - 154a b - 79a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 3 +--R (- 2a b + 3a b + 26a b + 35a b + 14a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 2 +--R (- 2a b + 3a b + 26a b + 35a b + 14a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 3 4 4 3 5 2 6 +--R (- a b - 3a b - 3a b - a b)cos(x) - a b - 3a b - 3a b - a b +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 4 3 5 2 6 10 +--R (128a b + 384a b + 256a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 8 +--R (- 288a b - 1344a b - 1952a b - 896a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R (208a b + 1440a b + 3424a b + 3360a b + 1168a b) +--R * +--R 6 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 52a b - 576a b - 2104a b - 3376a b - 2484a b +--R + +--R 6 +--R - 688a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 4b + 88a b + 488a b + 1152a b + 1348a b +--R + +--R 5 2 6 +--R 776a b + 176a b +--R * +--R 2 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 4b - 36a b - 120a b - 200a b - 180a b - 84a b +--R + +--R 6 +--R - 16a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 2 6 7 10 +--R (128a b + 384a b + 256a )cos(x) +--R + +--R 4 3 5 2 6 7 8 +--R (- 288a b - 1344a b - 1952a b - 896a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 6 +--R (208a b + 1440a b + 3424a b + 3360a b + 1168a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R - 52a b - 576a b - 2104a b - 3376a b - 2484a b +--R + +--R 7 +--R - 688a +--R * +--R 4 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R 4a b + 88a b + 488a b + 1152a b + 1348a b + 776a b +--R + +--R 7 +--R 176a +--R * +--R 2 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R - 4a b - 36a b - 120a b - 200a b - 180a b - 84a b - 16a +--R * +--R 7 +--R sin(x) +--R + +--R 4 3 5 2 6 12 +--R (128a b - 896a b - 1792a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 10 +--R (- 224a b + 2368a b + 9632a b + 8064a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 +--R 80a b - 2624a b - 15840a b - 27328a b +--R + +--R 6 +--R - 14448a b +--R * +--R 8 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R 20a b + 1400a b + 11208a b + 30520a b +--R + +--R 5 2 6 +--R 33684a b + 12992a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 4b - 284a b - 3424a b - 13880a b - 24652a b +--R + +--R 5 2 6 +--R - 19964a b - 6048a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 16b + 396a b + 2464a b + 6520a b + 8496a b +--R + +--R 5 2 6 +--R 5404a b + 1344a b +--R * +--R 2 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 12b - 132a b - 520a b - 1000a b - 1020a b +--R + +--R 5 2 6 +--R - 532a b - 112a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 2 6 7 12 +--R (128a b - 896a b - 1792a )cos(x) +--R + +--R 4 3 5 2 6 7 10 +--R (- 224a b + 2368a b + 9632a b + 8064a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 8 +--R (80a b - 2624a b - 15840a b - 27328a b - 14448a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R 20a b + 1400a b + 11208a b + 30520a b + 33684a b +--R + +--R 7 +--R 12992a +--R * +--R 6 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 4a b - 284a b - 3424a b - 13880a b - 24652a b +--R + +--R 6 7 +--R - 19964a b - 6048a +--R * +--R 4 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 16a b + 396a b + 2464a b + 6520a b + 8496a b +--R + +--R 6 7 +--R 5404a b + 1344a +--R * +--R 2 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 12a b - 132a b - 520a b - 1000a b - 1020a b - 532a b +--R + +--R 7 +--R - 112a +--R * +--R 5 +--R sin(x) +--R + +--R 4 3 5 2 6 14 +--R (- 128a b - 896a b + 1792a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 12 +--R (416a b + 3136a b - 2016a b - 9856a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 +--R - 464a b - 4064a b - 2400a b + 20384a b +--R + +--R 6 +--R 22512a b +--R * +--R 10 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 +--R 196a b + 2288a b + 4248a b - 15168a b +--R + +--R 5 2 6 +--R - 43932a b - 27440a b +--R * +--R 8 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 20b - 504a b - 1872a b + 5280a b + 31260a b +--R + +--R 5 2 6 +--R 43568a b + 19040a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 36b + 300a b - 896a b - 9780a b - 23124a b +--R + +--R 5 2 6 +--R - 21896a b - 7392a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 16b + 48a b + 1204a b + 4552a b + 7220a b +--R + +--R 5 2 6 +--R 5264a b + 1456a b +--R * +--R 2 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 40a b - 260a b - 652a b - 796a b - 476a b - 112a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 2 6 7 14 +--R (- 128a b - 896a b + 1792a )cos(x) +--R + +--R 4 3 5 2 6 7 12 +--R (416a b + 3136a b - 2016a b - 9856a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 +--R (- 464a b - 4064a b - 2400a b + 20384a b + 22512a ) +--R * +--R 10 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R 196a b + 2288a b + 4248a b - 15168a b - 43932a b +--R + +--R 7 +--R - 27440a +--R * +--R 8 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 20a b - 504a b - 1872a b + 5280a b + 31260a b +--R + +--R 6 7 +--R 43568a b + 19040a +--R * +--R 6 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 36a b + 300a b - 896a b - 9780a b - 23124a b +--R + +--R 6 7 +--R - 21896a b - 7392a +--R * +--R 4 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 16a b + 48a b + 1204a b + 4552a b + 7220a b +--R + +--R 6 7 +--R 5264a b + 1456a +--R * +--R 2 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R - 40a b - 260a b - 652a b - 796a b - 476a b - 112a +--R * +--R 3 +--R sin(x) +--R + +--R 4 3 5 2 6 16 +--R (- 128a b + 384a b - 256a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 14 +--R (352a b - 576a b - 1312a b + 1664a b)cos(x) +--R + +--R 2 5 4 3 5 2 6 12 +--R (- 336a b + 3296a b + 384a b - 4624a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 124a b + 312a b - 2408a b - 4392a b + 4380a b +--R + +--R 6 +--R 7136a b +--R * +--R 10 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 12b - 132a b + 680a b + 3512a b + 524a b +--R + +--R 5 2 6 +--R - 8620a b - 6640a b +--R * +--R 8 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 16b - 52a b - 960a b - 1316a b + 3232a b +--R + +--R 5 2 6 +--R 7416a b + 3776a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 4b + 76a b + 300a b - 436a b - 2680a b +--R + +--R 5 2 6 +--R - 3288a b - 1264a b +--R * +--R 4 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 16a b + 16a b + 348a b + 808a b + 716a b +--R + +--R 6 +--R 224a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R - 12a b - 52a b - 84a b - 60a b - 16a b +--R * +--R 2 +--R csc(x) +--R + +--R 5 2 6 7 16 +--R (- 128a b + 384a b - 256a )cos(x) +--R + +--R 4 3 5 2 6 7 14 +--R (352a b - 576a b - 1312a b + 1664a )cos(x) +--R + +--R 3 4 5 2 6 7 12 +--R (- 336a b + 3296a b + 384a b - 4624a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R 124a b + 312a b - 2408a b - 4392a b + 4380a b +--R + +--R 7 +--R 7136a +--R * +--R 10 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 12a b - 132a b + 680a b + 3512a b + 524a b +--R + +--R 6 7 +--R - 8620a b - 6640a +--R * +--R 8 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R 16a b - 52a b - 960a b - 1316a b + 3232a b +--R + +--R 6 7 +--R 7416a b + 3776a +--R * +--R 6 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 4a b + 76a b + 300a b - 436a b - 2680a b +--R + +--R 6 7 +--R - 3288a b - 1264a +--R * +--R 4 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R (- 16a b + 16a b + 348a b + 808a b + 716a b + 224a ) +--R * +--R 2 +--R cos(x) +--R + +--R 3 4 4 3 5 2 6 7 +--R - 12a b - 52a b - 84a b - 60a b - 16a +--R * +--R sin(x) +--R * +--R 2 +--R tan(x) +--R + +--R 4 3 5 2 6 10 +--R (- 128a b - 384a b - 256a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 8 +--R (288a b + 1344a b + 1952a b + 896a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 6 +--R (- 208a b - 1440a b - 3424a b - 3360a b - 1168a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R (52a b + 576a b + 2104a b + 3376a b + 2484a b + 688a b) +--R * +--R 4 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 4b - 88a b - 488a b - 1152a b - 1348a b - 776a b +--R + +--R 6 +--R - 176a b +--R * +--R 2 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R 4b + 36a b + 120a b + 200a b + 180a b + 84a b + 16a b +--R * +--R 7 +--R sin(x) +--R + +--R 4 3 5 2 6 12 +--R (- 128a b + 896a b + 1792a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 10 +--R (224a b - 2368a b - 9632a b - 8064a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 8 +--R (- 80a b + 2624a b + 15840a b + 27328a b + 14448a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 20a b - 1400a b - 11208a b - 30520a b - 33684a b +--R + +--R 6 +--R - 12992a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 4b + 284a b + 3424a b + 13880a b + 24652a b +--R + +--R 5 2 6 +--R 19964a b + 6048a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 16b - 396a b - 2464a b - 6520a b - 8496a b +--R + +--R 5 2 6 +--R - 5404a b - 1344a b +--R * +--R 2 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R 12b + 132a b + 520a b + 1000a b + 1020a b + 532a b + 112a b +--R * +--R 5 +--R sin(x) +--R + +--R 4 3 5 2 6 14 +--R (128a b + 896a b - 1792a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 12 +--R (- 416a b - 3136a b + 2016a b + 9856a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 10 +--R (464a b + 4064a b + 2400a b - 20384a b - 22512a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 196a b - 2288a b - 4248a b + 15168a b + 43932a b +--R + +--R 6 +--R 27440a b +--R * +--R 8 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R 20b + 504a b + 1872a b - 5280a b - 31260a b +--R + +--R 5 2 6 +--R - 43568a b - 19040a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 +--R - 36b - 300a b + 896a b + 9780a b + 23124a b +--R + +--R 5 2 6 +--R 21896a b + 7392a b +--R * +--R 4 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 16b - 48a b - 1204a b - 4552a b - 7220a b - 5264a b +--R + +--R 6 +--R - 1456a b +--R * +--R 2 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R 40a b + 260a b + 652a b + 796a b + 476a b + 112a b +--R * +--R 3 +--R sin(x) +--R + +--R 4 3 5 2 6 16 +--R (128a b - 384a b + 256a b)cos(x) +--R + +--R 3 4 4 3 5 2 6 14 +--R (- 352a b + 576a b + 1312a b - 1664a b)cos(x) +--R + +--R 2 5 4 3 5 2 6 12 +--R (336a b - 3296a b - 384a b + 4624a b)cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 +--R - 124a b - 312a b + 2408a b + 4392a b - 4380a b +--R + +--R 6 +--R - 7136a b +--R * +--R 10 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 12b + 132a b - 680a b - 3512a b - 524a b + 8620a b +--R + +--R 6 +--R 6640a b +--R * +--R 8 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 16b + 52a b + 960a b + 1316a b - 3232a b - 7416a b +--R + +--R 6 +--R - 3776a b +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 4b - 76a b - 300a b + 436a b + 2680a b + 3288a b +--R + +--R 6 +--R 1264a b +--R * +--R 4 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 2 +--R (16a b - 16a b - 348a b - 808a b - 716a b - 224a b)cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R 12a b + 52a b + 84a b + 60a b + 16a b +--R * +--R sin(x) +--R * +--R +-+ +--R \|a +--R * +--R +-------------+ +--R | 2 +--R \|b csc(x) + a +--R Type: Expression Integer +--E 466 + +--S 467 of 528 +t0388:= 1/(1+csc(x)^2)^(1/2) +--R +--R +--R 1 +--R (428) -------------- +--R +-----------+ +--R | 2 +--R \|csc(x) + 1 +--R Type: Expression Integer +--E 467 + +--S 468 of 528 +r0388:= -atan(cot(x)/(2+cot(x)^2)^(1/2)) +--R +--R +--R cot(x) +--R (429) - atan(--------------) +--R +-----------+ +--R | 2 +--R \|cot(x) + 2 +--R Type: Expression Integer +--E 468 + +--S 469 of 528 +a0388:= integrate(t0388,x) +--R +--R +--R (430) +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 2 +--R (cos(x) + 1)sin(x) |--------------------- - 2cos(x) + 2 +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R - atan(----------------------------------------------------------) +--R +---------------------+ +--R | 2 +--R 2 | - 4cos(x) + 8 +--R (cos(x) + cos(x)) |--------------------- + 2cos(x)sin(x) +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R - +--R atan +--R 4 3 2 +--R (2cos(x) + 2cos(x) - 2cos(x) - 2cos(x)) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 +--R (4cos(x) - 6cos(x))sin(x) +--R / +--R 3 2 +--R (2cos(x) + 2cos(x) - cos(x) - 1)sin(x) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 4 2 +--R - 4cos(x) + 8cos(x) - 2 +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 469 + +--S 470 of 528 +m0388:= a0388-r0388 +--R +--R +--R (431) +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 2 +--R (cos(x) + 1)sin(x) |--------------------- - 2cos(x) + 2 +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R - atan(----------------------------------------------------------) +--R +---------------------+ +--R | 2 +--R 2 | - 4cos(x) + 8 +--R (cos(x) + cos(x)) |--------------------- + 2cos(x)sin(x) +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R - +--R atan +--R 4 3 2 +--R (2cos(x) + 2cos(x) - 2cos(x) - 2cos(x)) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 +--R (4cos(x) - 6cos(x))sin(x) +--R / +--R 3 2 +--R (2cos(x) + 2cos(x) - cos(x) - 1)sin(x) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 4 2 +--R - 4cos(x) + 8cos(x) - 2 +--R + +--R cot(x) +--R 2atan(--------------) +--R +-----------+ +--R | 2 +--R \|cot(x) + 2 +--R / +--R 2 +--R Type: Expression Integer +--E 470 + +--S 471 of 528 +d0388:= D(m0388,x) +--R +--R +--R (432) +--R 7 6 5 4 3 +--R - 16cos(x) - 16cos(x) + 48cos(x) + 48cos(x) - 36cos(x) +--R + +--R 2 +--R - 36cos(x) + 8cos(x) + 8 +--R * +--R 9 +--R sin(x) +--R + +--R 9 8 7 6 +--R 240cos(x) + 240cos(x) - 1136cos(x) - 1136cos(x) +--R + +--R 5 4 3 2 +--R 1752cos(x) + 1752cos(x) - 964cos(x) - 964cos(x) +--R + +--R 172cos(x) + 172 +--R * +--R 7 +--R sin(x) +--R + +--R 11 10 9 8 +--R - 240cos(x) - 240cos(x) + 1680cos(x) + 1680cos(x) +--R + +--R 7 6 5 4 +--R - 4264cos(x) - 4264cos(x) + 4688cos(x) + 4688cos(x) +--R + +--R 3 2 +--R - 2073cos(x) - 2073cos(x) + 310cos(x) + 310 +--R * +--R 5 +--R sin(x) +--R + +--R 13 12 11 10 +--R 16cos(x) + 16cos(x) - 208cos(x) - 208cos(x) +--R + +--R 9 8 7 6 +--R 920cos(x) + 920cos(x) - 1836cos(x) - 1836cos(x) +--R + +--R 5 4 3 2 +--R 1705cos(x) + 1705cos(x) - 652cos(x) - 652cos(x) +--R + +--R 85cos(x) + 85 +--R * +--R 3 +--R sin(x) +--R + +--R 11 10 9 8 7 +--R - 4cos(x) - 4cos(x) + 24cos(x) + 24cos(x) - 52cos(x) +--R + +--R 6 5 4 3 2 +--R - 52cos(x) + 48cos(x) + 48cos(x) - 17cos(x) - 17cos(x) +--R + +--R 2cos(x) + 2 +--R * +--R sin(x) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 8 6 4 2 8 +--R (192cos(x) - 928cos(x) + 1472cos(x) - 848cos(x) + 160)sin(x) +--R + +--R 10 8 6 4 +--R - 640cos(x) + 4320cos(x) - 10720cos(x) + 11736cos(x) +--R + +--R 2 +--R - 5328cos(x) + 832 +--R * +--R 6 +--R sin(x) +--R + +--R 12 10 8 6 +--R 192cos(x) - 1888cos(x) + 7104cos(x) - 12848cos(x) +--R + +--R 4 2 +--R 11340cos(x) - 4348cos(x) + 584 +--R * +--R 4 +--R sin(x) +--R + +--R 12 10 8 6 +--R 32cos(x) - 288cos(x) + 1000cos(x) - 1672cos(x) +--R + +--R 4 2 +--R 1356cos(x) - 468cos(x) + 56 +--R * +--R 2 +--R sin(x) +--R * +--R +-----------+ +--R | 2 +--R \|cot(x) + 2 +--R + +--R 9 8 7 6 5 +--R - 96cos(x) - 96cos(x) + 464cos(x) + 464cos(x) - 736cos(x) +--R + +--R 4 3 2 +--R - 736cos(x) + 424cos(x) + 424cos(x) - 80cos(x) - 80 +--R * +--R 7 +--R sin(x) +--R + +--R 11 10 9 8 +--R 320cos(x) + 320cos(x) - 2160cos(x) - 2160cos(x) +--R + +--R 7 6 5 4 +--R 5360cos(x) + 5360cos(x) - 5868cos(x) - 5868cos(x) +--R + +--R 3 2 +--R 2664cos(x) + 2664cos(x) - 416cos(x) - 416 +--R * +--R 5 +--R sin(x) +--R + +--R 13 12 11 10 +--R - 96cos(x) - 96cos(x) + 944cos(x) + 944cos(x) +--R + +--R 9 8 7 6 +--R - 3552cos(x) - 3552cos(x) + 6424cos(x) + 6424cos(x) +--R + +--R 5 4 3 2 +--R - 5670cos(x) - 5670cos(x) + 2174cos(x) + 2174cos(x) +--R + +--R - 292cos(x) - 292 +--R * +--R 3 +--R sin(x) +--R + +--R 13 12 11 10 +--R - 16cos(x) - 16cos(x) + 144cos(x) + 144cos(x) +--R + +--R 9 8 7 6 5 +--R - 500cos(x) - 500cos(x) + 836cos(x) + 836cos(x) - 678cos(x) +--R + +--R 4 3 2 +--R - 678cos(x) + 234cos(x) + 234cos(x) - 28cos(x) - 28 +--R * +--R sin(x) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 8 6 4 2 8 +--R (- 32cos(x) + 160cos(x) - 264cos(x) + 160cos(x) - 32)sin(x) +--R + +--R 10 8 6 4 2 +--R 480cos(x) - 3232cos(x) + 8048cos(x) - 8936cos(x) + 4200cos(x) +--R + +--R - 688 +--R * +--R 6 +--R sin(x) +--R + +--R 12 10 8 6 +--R - 480cos(x) + 4320cos(x) - 15248cos(x) + 26432cos(x) +--R + +--R 4 2 +--R - 22898cos(x) + 8912cos(x) - 1240 +--R * +--R 4 +--R sin(x) +--R + +--R 14 12 10 8 6 +--R 32cos(x) - 480cos(x) + 2672cos(x) - 7352cos(x) + 10754cos(x) +--R + +--R 4 2 +--R - 8124cos(x) + 2778cos(x) - 340 +--R * +--R 2 +--R sin(x) +--R + +--R 12 10 8 6 4 +--R - 8cos(x) + 64cos(x) - 200cos(x) + 304cos(x) - 226cos(x) +--R + +--R 2 +--R 72cos(x) - 8 +--R / +--R 9 8 7 6 5 +--R 96cos(x) + 96cos(x) - 464cos(x) - 464cos(x) + 736cos(x) +--R + +--R 4 3 2 +--R 736cos(x) - 424cos(x) - 424cos(x) + 80cos(x) + 80 +--R * +--R 7 +--R sin(x) +--R + +--R 11 10 9 8 +--R - 320cos(x) - 320cos(x) + 2160cos(x) + 2160cos(x) +--R + +--R 7 6 5 4 +--R - 5360cos(x) - 5360cos(x) + 5868cos(x) + 5868cos(x) +--R + +--R 3 2 +--R - 2664cos(x) - 2664cos(x) + 416cos(x) + 416 +--R * +--R 5 +--R sin(x) +--R + +--R 13 12 11 10 +--R 96cos(x) + 96cos(x) - 944cos(x) - 944cos(x) +--R + +--R 9 8 7 6 +--R 3552cos(x) + 3552cos(x) - 6424cos(x) - 6424cos(x) +--R + +--R 5 4 3 2 +--R 5670cos(x) + 5670cos(x) - 2174cos(x) - 2174cos(x) +--R + +--R 292cos(x) + 292 +--R * +--R 3 +--R sin(x) +--R + +--R 13 12 11 10 +--R 16cos(x) + 16cos(x) - 144cos(x) - 144cos(x) +--R + +--R 9 8 7 6 5 +--R 500cos(x) + 500cos(x) - 836cos(x) - 836cos(x) + 678cos(x) +--R + +--R 4 3 2 +--R 678cos(x) - 234cos(x) - 234cos(x) + 28cos(x) + 28 +--R * +--R sin(x) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 8 6 4 2 8 +--R (32cos(x) - 160cos(x) + 264cos(x) - 160cos(x) + 32)sin(x) +--R + +--R 10 8 6 4 +--R - 480cos(x) + 3232cos(x) - 8048cos(x) + 8936cos(x) +--R + +--R 2 +--R - 4200cos(x) + 688 +--R * +--R 6 +--R sin(x) +--R + +--R 12 10 8 6 +--R 480cos(x) - 4320cos(x) + 15248cos(x) - 26432cos(x) +--R + +--R 4 2 +--R 22898cos(x) - 8912cos(x) + 1240 +--R * +--R 4 +--R sin(x) +--R + +--R 14 12 10 8 +--R - 32cos(x) + 480cos(x) - 2672cos(x) + 7352cos(x) +--R + +--R 6 4 2 +--R - 10754cos(x) + 8124cos(x) - 2778cos(x) + 340 +--R * +--R 2 +--R sin(x) +--R + +--R 12 10 8 6 4 +--R 8cos(x) - 64cos(x) + 200cos(x) - 304cos(x) + 226cos(x) +--R + +--R 2 +--R - 72cos(x) + 8 +--R * +--R +-----------+ +--R | 2 +--R \|cot(x) + 2 +--R Type: Expression Integer +--E 471 + +--S 472 of 528 +t0389:= 1/(1-csc(x)^2)^(1/2) +--R +--R +--R 1 +--R (433) ---------------- +--R +-------------+ +--R | 2 +--R \|- csc(x) + 1 +--R Type: Expression Integer +--E 472 + +--S 473 of 528 +r0389:= -cot(x)*log(cos(x))/(-cot(x)^2)^(1/2) +--R +--R +--R cot(x)log(cos(x)) +--R (434) - ----------------- +--R +---------+ +--R | 2 +--R \|- cot(x) +--R Type: Expression Integer +--E 473 + +--S 474 of 528 +a0389:= integrate(t0389,x) +--R +--R +--R x x 3 x 3 x x +--R 2cos(-)sin(-) + (2cos(-) - 2cos(-))sin(-) +--R 2 2 2 2 2 +--R (435) - atan(-------------------------------------------) +--R x 4 x 2 x 4 x 2 +--R sin(-) - sin(-) - cos(-) - 3cos(-) +--R 2 2 2 2 +--R Type: Union(Expression Integer,...) +--E 474 + +--S 475 of 528 +m0389:= a0389-r0389 +--R +--R +--R (436) +--R x x 3 x 3 x x +--R 2cos(-)sin(-) + (2cos(-) - 2cos(-))sin(-) +---------+ +--R 2 2 2 2 2 | 2 +--R - atan(-------------------------------------------)\|- cot(x) +--R x 4 x 2 x 4 x 2 +--R sin(-) - sin(-) - cos(-) - 3cos(-) +--R 2 2 2 2 +--R + +--R cot(x)log(cos(x)) +--R / +--R +---------+ +--R | 2 +--R \|- cot(x) +--R Type: Expression Integer +--E 475 + +--S 476 of 528 +d0389:= D(m0389,x) +--R +--R +--R (437) +--R x 6 x 2 x 4 +--R cos(x)sin(-) + (3cos(-) - 2)cos(x)sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 x 6 x 4 x 2 +--R (3cos(-) + 1)cos(x)sin(-) + (cos(-) + 2cos(-) - 3cos(-) )cos(x) +--R 2 2 2 2 2 +--R * +--R +---------+ +--R | 2 +--R \|- cot(x) +--R + +--R x 6 x 2 x 4 +--R - cot(x)sin(-) + (- 3cos(-) + 2)cot(x)sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 x 2 +--R (- 3cos(-) + 12cos(-) - 1)cot(x)sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R (- cos(-) - 6cos(-) - 9cos(-) )cot(x) +--R 2 2 2 +--R * +--R sin(x) +--R / +--R x 6 x 2 x 4 +--R cos(x)sin(-) + (3cos(-) - 2)cos(x)sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 x 2 +--R (3cos(-) - 12cos(-) + 1)cos(x)sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R (cos(-) + 6cos(-) + 9cos(-) )cos(x) +--R 2 2 2 +--R * +--R +---------+ +--R | 2 +--R \|- cot(x) +--R Type: Expression Integer +--E 476 + +--S 477 of 528 +t0390:= 1/(-1+csc(x)^2)^(1/2) +--R +--R +--R 1 +--R (438) -------------- +--R +-----------+ +--R | 2 +--R \|csc(x) - 1 +--R Type: Expression Integer +--E 477 + +--S 478 of 528 +r0390:= -cot(x)*log(cos(x))/(cot(x)^2)^(1/2) +--R +--R +--R cot(x)log(cos(x)) +--R (439) - ----------------- +--R +-------+ +--R | 2 +--R \|cot(x) +--R Type: Expression Integer +--E 478 + +--S 479 of 528 +a0390:= integrate(t0390,x) +--R +--R +--R 2 2cos(x) +--R (440) - log(----------) + log(- ----------) +--R cos(x) + 1 cos(x) + 1 +--R Type: Union(Expression Integer,...) +--E 479 + +--S 480 of 528 +m0390:= a0390-r0390 +--R +--R +--R (441) +--R +-------+ +--R 2 2cos(x) | 2 +--R (- log(----------) + log(- ----------))\|cot(x) + cot(x)log(cos(x)) +--R cos(x) + 1 cos(x) + 1 +--R --------------------------------------------------------------------- +--R +-------+ +--R | 2 +--R \|cot(x) +--R Type: Expression Integer +--E 480 + +--S 481 of 528 +d0390:= D(m0390,x) +--R +--R +--R +-------+ +--R | 2 +--R - sin(x)\|cot(x) - cot(x)sin(x) +--R (442) --------------------------------- +--R +-------+ +--R | 2 +--R cos(x)\|cot(x) +--R Type: Expression Integer +--E 481 + +--S 482 of 528 +t0391:= 1/(-1-csc(x)^2)^(1/2) +--R +--R +--R 1 +--R (443) ---------------- +--R +-------------+ +--R | 2 +--R \|- csc(x) - 1 +--R Type: Expression Integer +--E 482 + +--S 483 of 528 +r0391:= -atanh(cot(x)/(-2-cot(x)^2)^(1/2)) +--R +--R +--R cot(x) +--R (444) - atanh(----------------) +--R +-------------+ +--R | 2 +--R \|- cot(x) - 2 +--R Type: Expression Integer +--E 483 + +--S 484 of 528 +a0391:= integrate(t0391,x) +--R +--R +--R (445) +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +--R - log(\|(%e ) - 6(%e ) + 1 - (%e ) + 1) +--R + +--R log +--R +--------------------------------+ +--R +---+ 2 | +---+ 4 +---+ 2 +--R x\|- 1 | x\|- 1 x\|- 1 +--R (- 2(%e ) + 2)\|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R 2(%e ) - 8(%e ) - 2 +--R / +--R 2 +--R Type: Union(Expression Integer,...) +--E 484 + +--S 485 of 528 +m0391:= a0391-r0391 +--R +--R +--R (446) +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +--R - log(\|(%e ) - 6(%e ) + 1 - (%e ) + 1) +--R + +--R log +--R +--------------------------------+ +--R +---+ 2 | +---+ 4 +---+ 2 +--R x\|- 1 | x\|- 1 x\|- 1 +--R (- 2(%e ) + 2)\|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R 2(%e ) - 8(%e ) - 2 +--R + +--R cot(x) +--R 2atanh(----------------) +--R +-------------+ +--R | 2 +--R \|- cot(x) - 2 +--R / +--R 2 +--R Type: Expression Integer +--E 485 + +--S 486 of 528 +d0391:= D(m0391,x) +--R +--R +--R (447) +--R +---+ 6 +---+ 4 +---+ 2 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R \|- 1 (%e ) - 7\|- 1 (%e ) + 11\|- 1 (%e ) +--R + +--R +---+ +--R - 5\|- 1 +--R * +--R +-------------+ +--R | 2 +--R \|- cot(x) - 2 +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R - (%e ) + 9(%e ) - 19(%e ) + 3 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R - \|- 1 (%e ) + 10\|- 1 (%e ) - 28\|- 1 (%e ) +--R + +--R +---+ 2 +--R +---+ x\|- 1 +---+ +--R 22\|- 1 (%e ) - 3\|- 1 +--R * +--R +-------------+ +--R | 2 +--R \|- cot(x) - 2 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R (%e ) - 12(%e ) + 42(%e ) - 36(%e ) + 5 +--R / +--R +---+ 6 +---+ 4 +---+ 2 +-------------+ +--R x\|- 1 x\|- 1 x\|- 1 | 2 +--R ((%e ) - 9(%e ) + 19(%e ) - 3)\|- cot(x) - 2 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R (- (%e ) + 12(%e ) - 42(%e ) + 36(%e ) - 5) +--R * +--R +-------------+ +--R | 2 +--R \|- cot(x) - 2 +--R Type: Expression Integer +--E 486 + +--S 487 of 528 +t0392:= 1/(a+b*csc(x)^2)^(1/2) +--R +--R +--R 1 +--R (448) ---------------- +--R +-------------+ +--R | 2 +--R \|b csc(x) + a +--R Type: Expression Integer +--E 487 + +--S 488 of 528 +r0392:= -atan(a^(1/2)*cot(x)/(a+b*csc(x)^2)^(1/2))/a^(1/2) +--R +--R +--R +-+ +--R cot(x)\|a +--R atan(----------------) +--R +-------------+ +--R | 2 +--R \|b csc(x) + a +--R (449) - ---------------------- +--R +-+ +--R \|a +--R Type: Expression Integer +--E 488 + +--S 489 of 528 +a0392:= integrate(t0392,x) +--R +--R +--R (450) +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a 2 +-+ +--R (cos(x) + 1)sin(x) |---------------------- + (2cos(x) - 2)\|a +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R atan(----------------------------------------------------------------) +--R +----------------------+ +--R | 2 +--R 2 |- 4a cos(x) + 4b + 4a +-+ +--R (cos(x) + cos(x)) |---------------------- - 2cos(x)sin(x)\|a +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R atan +--R 4 3 2 +--R (4a cos(x) + 4a cos(x) + (- b - 3a)cos(x) + (- b - 3a)cos(x)) +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R \|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 3 2 +--R (- 8a cos(x) + (6a b + 6a )cos(x))sin(x) +--R / +--R 3 2 +-+ +--R (4a cos(x) + 4a cos(x) + (- b - a)cos(x) - b - a)sin(x)\|a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 4 2 2 2 +--R 8a cos(x) + (- 6a b - 10a )cos(x) + 2a b + 2a +--R / +--R +-+ +--R 2\|a +--R Type: Union(Expression Integer,...) +--E 489 + +--S 490 of 528 +m0392:= a0392-r0392 +--R +--R +--R (451) +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a 2 +-+ +--R (cos(x) + 1)sin(x) |---------------------- + (2cos(x) - 2)\|a +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R atan(----------------------------------------------------------------) +--R +----------------------+ +--R | 2 +--R 2 |- 4a cos(x) + 4b + 4a +-+ +--R (cos(x) + cos(x)) |---------------------- - 2cos(x)sin(x)\|a +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R atan +--R 4 3 2 +--R (4a cos(x) + 4a cos(x) + (- b - 3a)cos(x) + (- b - 3a)cos(x)) +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R \|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 3 2 +--R (- 8a cos(x) + (6a b + 6a )cos(x))sin(x) +--R / +--R 3 2 +-+ +--R (4a cos(x) + 4a cos(x) + (- b - a)cos(x) - b - a)sin(x)\|a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 4 2 2 2 +--R 8a cos(x) + (- 6a b - 10a )cos(x) + 2a b + 2a +--R + +--R +-+ +--R cot(x)\|a +--R 2atan(----------------) +--R +-------------+ +--R | 2 +--R \|b csc(x) + a +--R / +--R +-+ +--R 2\|a +--R Type: Expression Integer +--E 490 + +--S 491 of 528 +d0392:= D(m0392,x) +--R +--R +--R (452) +--R 4 2 5 6 7 +--R (16a b + 32a b + 16a )cos(x) +--R + +--R 4 2 5 6 6 +--R (16a b + 32a b + 16a )cos(x) +--R + +--R 3 3 4 2 5 6 5 +--R (- 24a b - 72a b - 72a b - 24a )cos(x) +--R + +--R 3 3 4 2 5 6 4 +--R (- 24a b - 72a b - 72a b - 24a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (9a b + 36a b + 54a b + 36a b + 9a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (9a b + 36a b + 54a b + 36a b + 9a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (- a b - 5a b - 10a b - 10a b - 5a b - a )cos(x) - a b +--R + +--R 2 4 3 3 4 2 5 6 +--R - 5a b - 10a b - 10a b - 5a b - a +--R * +--R 9 +--R sin(x) +--R + +--R 4 2 5 6 9 +--R (- 64a b - 448a b - 448a )cos(x) +--R + +--R 4 2 5 6 8 +--R (- 64a b - 448a b - 448a )cos(x) +--R + +--R 3 3 4 2 5 6 7 +--R (144a b + 1152a b + 2128a b + 1120a )cos(x) +--R + +--R 3 3 4 2 5 6 6 +--R (144a b + 1152a b + 2128a b + 1120a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 5 +--R (- 100a b - 928a b - 2480a b - 2576a b - 924a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (- 100a b - 928a b - 2480a b - 2576a b - 924a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (20a b + 242a b + 886a b + 1406a b + 1022a b + 280a ) +--R * +--R 3 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (20a b + 242a b + 886a b + 1406a b + 1022a b + 280a ) +--R * +--R 2 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - b - 18a b - 90a b - 200a b - 225a b - 126a b +--R + +--R 6 +--R - 28a +--R * +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R - b - 18a b - 90a b - 200a b - 225a b - 126a b - 28a +--R * +--R 7 +--R sin(x) +--R + +--R 4 2 6 11 4 2 6 10 +--R (- 160a b + 1120a )cos(x) + (- 160a b + 1120a )cos(x) +--R + +--R 3 3 4 2 5 6 9 +--R (320a b + 240a b - 3360a b - 3920a )cos(x) +--R + +--R 3 3 4 2 5 6 8 +--R (320a b + 240a b - 3360a b - 3920a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 7 +--R (- 194a b - 200a b + 3660a b + 8680a b + 5110a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 6 +--R (- 194a b - 200a b + 3660a b + 8680a b + 5110a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (34a b - 16a b - 1850a b - 6350a b - 7560a b - 3010a ) +--R * +--R 5 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (34a b - 16a b - 1850a b - 6350a b - 7560a b - 3010a ) +--R * +--R 4 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 2b + 6a b + 333a b + 1620a b + 3045a b + 2520a b +--R + +--R 6 +--R 770a +--R * +--R 3 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 2b + 6a b + 333a b + 1620a b + 3045a b + 2520a b +--R + +--R 6 +--R 770a +--R * +--R 2 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 15a b - 115a b - 325a b - 435a b - 280a b - 70a ) +--R * +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R - 15a b - 115a b - 325a b - 435a b - 280a b - 70a +--R * +--R 5 +--R sin(x) +--R + +--R 4 2 5 6 13 +--R (- 64a b + 448a b - 448a )cos(x) +--R + +--R 4 2 5 6 12 +--R (- 64a b + 448a b - 448a )cos(x) +--R + +--R 3 3 4 2 5 6 11 +--R (112a b - 960a b - 336a b + 2016a )cos(x) +--R + +--R 3 3 4 2 5 6 10 +--R (112a b - 960a b - 336a b + 2016a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 9 +--R (- 52a b + 800a b + 1536a b - 2352a b - 3612a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 8 +--R (- 52a b + 800a b + 1536a b - 2352a b - 3612a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (4a b - 298a b - 1070a b + 770a b + 4690a b + 3248a ) +--R * +--R 7 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (4a b - 298a b - 1070a b + 770a b + 4690a b + 3248a ) +--R * +--R 6 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - b + 30a b + 216a b - 120a b - 2115a b - 3318a b +--R + +--R 6 +--R - 1512a +--R * +--R 5 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - b + 30a b + 216a b - 120a b - 2115a b - 3318a b +--R + +--R 6 +--R - 1512a +--R * +--R 4 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 12a b + 8a b + 350a b + 960a b + 966a b + 336a ) +--R * +--R 3 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 12a b + 8a b + 350a b + 960a b + 966a b + 336a ) +--R * +--R 2 +--R cos(x) +--R + +--R 2 4 3 3 4 2 5 6 2 4 +--R (- 15a b - 72a b - 127a b - 98a b - 28a )cos(x) - 15a b +--R + +--R 3 3 4 2 5 6 +--R - 72a b - 127a b - 98a b - 28a +--R * +--R 3 +--R sin(x) +--R + +--R 4 2 5 6 15 +--R (16a b - 32a b + 16a )cos(x) +--R + +--R 4 2 5 6 14 +--R (16a b - 32a b + 16a )cos(x) +--R + +--R 3 3 4 2 5 6 13 +--R (- 40a b + 24a b + 104a b - 88a )cos(x) +--R + +--R 3 3 4 2 5 6 12 +--R (- 40a b + 24a b + 104a b - 88a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 11 +--R (33a b + 36a b - 178a b - 76a b + 201a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 10 +--R (33a b + 36a b - 178a b - 76a b + 201a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 9 +--R (- 9a b - 35a b + 76a b + 216a b - 99a b - 245a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 8 +--R (- 9a b - 35a b + 76a b + 216a b - 99a b - 245a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 7 +--R (6a b - 7a b - 100a b - 57a b + 196a b + 170a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 6 +--R (6a b - 7a b - 100a b - 57a b + 196a b + 170a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 5 +--R (- a b + 11a b + 27a b - 41a b - 122a b - 66a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 4 +--R (- a b + 11a b + 27a b - 41a b - 122a b - 66a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 3 +--R (- 2a b + 2a b + 23a b + 32a b + 13a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 2 +--R (- 2a b + 2a b + 23a b + 32a b + 13a )cos(x) +--R + +--R 3 3 4 2 5 6 3 3 4 2 5 6 +--R (- a b - 3a b - 3a b - a )cos(x) - a b - 3a b - 3a b - a +--R * +--R sin(x) +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 4 2 5 6 8 +--R (128a b + 384a b + 256a )cos(x) +--R + +--R 3 3 4 2 5 6 6 +--R (- 288a b - 1216a b - 1568a b - 640a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (208a b + 1152a b + 2208a b + 1792a b + 528a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 52a b - 368a b - 952a b - 1168a b - 692a b - 160a ) +--R * +--R 2 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R 4b + 36a b + 120a b + 200a b + 180a b + 84a b + 16a +--R * +--R 8 +--R sin(x) +--R + +--R 4 2 5 6 10 +--R (128a b - 896a b - 1792a )cos(x) +--R + +--R 3 3 4 2 5 6 8 +--R (- 224a b + 2496a b + 8736a b + 6272a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 6 +--R (80a b - 2848a b - 13344a b - 18592a b - 8176a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R 20a b + 1480a b + 8360a b + 17176a b + 15092a b +--R + +--R 6 +--R 4816a +--R * +--R 4 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 4b - 264a b - 1944a b - 5520a b - 7476a b +--R + +--R 5 6 +--R - 4872a b - 1232a +--R * +--R 2 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R 12b + 132a b + 520a b + 1000a b + 1020a b + 532a b + 112a +--R * +--R 6 +--R sin(x) +--R + +--R 4 2 5 6 12 +--R (- 128a b - 896a b + 1792a )cos(x) +--R + +--R 3 3 4 2 5 6 10 +--R (416a b + 3008a b - 2912a b - 8064a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 8 +--R (- 464a b - 3648a b + 608a b + 17472a b + 14448a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 +--R 196a b + 1824a b + 600a b - 14560a b - 26460a b +--R + +--R 6 +--R - 12992a +--R * +--R 6 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 +--R - 20b - 308a b - 48a b + 5880a b + 16700a b +--R + +--R 5 6 +--R 17108a b + 6048a +--R * +--R 4 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 16b - 8a b - 944a b - 3900a b - 6424a b - 4788a b +--R + +--R 6 +--R - 1344a +--R * +--R 2 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R 40a b + 260a b + 652a b + 796a b + 476a b + 112a +--R * +--R 4 +--R sin(x) +--R + +--R 4 2 5 6 14 +--R (- 128a b + 384a b - 256a )cos(x) +--R + +--R 3 3 4 2 5 6 12 +--R (352a b - 704a b - 928a b + 1408a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 10 +--R (- 336a b + 352a b + 2592a b - 544a b - 3216a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (124a b - 24a b - 2056a b - 1800a b + 3836a b + 3920a ) +--R * +--R 8 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 12b - 8a b + 656a b + 1456a b - 1276a b - 4784a b +--R + +--R 6 +--R - 2720a +--R * +--R 6 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 4b - 60a b - 304a b + 140a b + 1956a b + 2632a b +--R + +--R 6 +--R 1056a +--R * +--R 4 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 2 +--R (16a b - 4a b - 296a b - 724a b - 656a b - 208a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 +--R 12a b + 52a b + 84a b + 60a b + 16a +--R * +--R 2 +--R sin(x) +--R * +--R +-+ +--R \|a +--R * +--R +-------------+ +--R | 2 +--R \|b csc(x) + a +--R + +--R 4 2 5 6 9 +--R (- 64a b - 192a b - 128a )cos(x) +--R + +--R 4 2 5 6 8 +--R (- 64a b - 192a b - 128a )cos(x) +--R + +--R 3 3 4 2 5 6 7 +--R (144a b + 608a b + 784a b + 320a )cos(x) +--R + +--R 3 3 4 2 5 6 6 +--R (144a b + 608a b + 784a b + 320a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 5 +--R (- 104a b - 576a b - 1104a b - 896a b - 264a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (- 104a b - 576a b - 1104a b - 896a b - 264a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 3 +--R (26a b + 184a b + 476a b + 584a b + 346a b + 80a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 2 +--R (26a b + 184a b + 476a b + 584a b + 346a b + 80a )cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 2b - 18a b - 60a b - 100a b - 90a b - 42a b - 8a )cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R - 2b - 18a b - 60a b - 100a b - 90a b - 42a b - 8a +--R * +--R 7 +--R sin(x) +--R + +--R 4 2 5 6 11 +--R (- 64a b + 448a b + 896a )cos(x) +--R + +--R 4 2 5 6 10 +--R (- 64a b + 448a b + 896a )cos(x) +--R + +--R 3 3 4 2 5 6 9 +--R (112a b - 1248a b - 4368a b - 3136a )cos(x) +--R + +--R 3 3 4 2 5 6 8 +--R (112a b - 1248a b - 4368a b - 3136a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 7 +--R (- 40a b + 1424a b + 6672a b + 9296a b + 4088a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 6 +--R (- 40a b + 1424a b + 6672a b + 9296a b + 4088a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 10a b - 740a b - 4180a b - 8588a b - 7546a b - 2408a ) +--R * +--R 5 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 10a b - 740a b - 4180a b - 8588a b - 7546a b - 2408a ) +--R * +--R 4 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 2b + 132a b + 972a b + 2760a b + 3738a b + 2436a b +--R + +--R 6 +--R 616a +--R * +--R 3 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 2b + 132a b + 972a b + 2760a b + 3738a b + 2436a b +--R + +--R 6 +--R 616a +--R * +--R 2 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 6b - 66a b - 260a b - 500a b - 510a b - 266a b - 56a ) +--R * +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R - 6b - 66a b - 260a b - 500a b - 510a b - 266a b - 56a +--R * +--R 5 +--R sin(x) +--R + +--R 4 2 5 6 13 +--R (64a b + 448a b - 896a )cos(x) +--R + +--R 4 2 5 6 12 +--R (64a b + 448a b - 896a )cos(x) +--R + +--R 3 3 4 2 5 6 11 +--R (- 208a b - 1504a b + 1456a b + 4032a )cos(x) +--R + +--R 3 3 4 2 5 6 10 +--R (- 208a b - 1504a b + 1456a b + 4032a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 9 +--R (232a b + 1824a b - 304a b - 8736a b - 7224a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 8 +--R (232a b + 1824a b - 304a b - 8736a b - 7224a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 98a b - 912a b - 300a b + 7280a b + 13230a b + 6496a ) +--R * +--R 7 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 98a b - 912a b - 300a b + 7280a b + 13230a b + 6496a ) +--R * +--R 6 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 10b + 154a b + 24a b - 2940a b - 8350a b - 8554a b +--R + +--R 6 +--R - 3024a +--R * +--R 5 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 10b + 154a b + 24a b - 2940a b - 8350a b - 8554a b +--R + +--R 6 +--R - 3024a +--R * +--R 4 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 8b + 4a b + 472a b + 1950a b + 3212a b + 2394a b +--R + +--R 6 +--R 672a +--R * +--R 3 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 8b + 4a b + 472a b + 1950a b + 3212a b + 2394a b +--R + +--R 6 +--R 672a +--R * +--R 2 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 20a b - 130a b - 326a b - 398a b - 238a b - 56a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R - 20a b - 130a b - 326a b - 398a b - 238a b - 56a +--R * +--R 3 +--R sin(x) +--R + +--R 4 2 5 6 15 +--R (64a b - 192a b + 128a )cos(x) +--R + +--R 4 2 5 6 14 +--R (64a b - 192a b + 128a )cos(x) +--R + +--R 3 3 4 2 5 6 13 +--R (- 176a b + 352a b + 464a b - 704a )cos(x) +--R + +--R 3 3 4 2 5 6 12 +--R (- 176a b + 352a b + 464a b - 704a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 11 +--R (168a b - 176a b - 1296a b + 272a b + 1608a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 10 +--R (168a b - 176a b - 1296a b + 272a b + 1608a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 62a b + 12a b + 1028a b + 900a b - 1918a b - 1960a ) +--R * +--R 9 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (- 62a b + 12a b + 1028a b + 900a b - 1918a b - 1960a ) +--R * +--R 8 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (6b + 4a b - 328a b - 728a b + 638a b + 2392a b + 1360a ) +--R * +--R 7 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (6b + 4a b - 328a b - 728a b + 638a b + 2392a b + 1360a ) +--R * +--R 6 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 2b + 30a b + 152a b - 70a b - 978a b - 1316a b - 528a ) +--R * +--R 5 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (- 2b + 30a b + 152a b - 70a b - 978a b - 1316a b - 528a ) +--R * +--R 4 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 3 +--R (- 8a b + 2a b + 148a b + 362a b + 328a b + 104a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 2 +--R (- 8a b + 2a b + 148a b + 362a b + 328a b + 104a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 2 4 3 3 +--R (- 6a b - 26a b - 42a b - 30a b - 8a )cos(x) - 6a b - 26a b +--R + +--R 4 2 5 6 +--R - 42a b - 30a b - 8a +--R * +--R sin(x) +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R \|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 5 2 6 7 8 +--R (32a b + 64a b + 32a )cos(x) +--R + +--R 4 3 5 2 6 7 6 +--R (- 80a b - 240a b - 240a b - 80a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 4 +--R (66a b + 264a b + 396a b + 264a b + 66a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 2 +--R (- 20a b - 100a b - 200a b - 200a b - 100a b - 20a )cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R 2a b + 12a b + 30a b + 40a b + 30a b + 12a b + 2a +--R * +--R 8 +--R sin(x) +--R + +--R 5 2 6 7 10 +--R (- 128a b - 896a b - 896a )cos(x) +--R + +--R 4 3 5 2 6 7 8 +--R (416a b + 3328a b + 6048a b + 3136a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 6 +--R (- 488a b - 4448a b - 11520a b - 11648a b - 4088a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 4 +--R (240a b + 2540a b + 8588a b + 12924a b + 9044a b + 2408a )cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 42a b - 560a b - 2436a b - 4984a b - 5306a b - 2856a b +--R + +--R 7 +--R - 616a +--R * +--R 2 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 7 +--R 2b + 38a b + 216a b + 580a b + 850a b + 702a b + 308a b + 56a +--R * +--R 6 +--R sin(x) +--R + +--R 5 2 7 12 +--R (- 320a b + 2240a )cos(x) +--R + +--R 4 3 5 2 6 7 10 +--R (960a b + 800a b - 8960a b - 10080a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 8 +--R (- 1028a b - 1520a b + 13560a b + 31920a b + 18060a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R (456a b + 756a b - 10620a b - 37380a b - 42700a b - 16240a ) +--R * +--R 6 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 72a b - 24a b + 4398a b + 19640a b + 33910a b + 26180a b +--R + +--R 7 +--R 7560a +--R * +--R 4 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R 4b - 8a b - 708a b - 4136a b - 9980a b - 12000a b - 7140a b +--R + +--R 7 +--R - 1680a +--R * +--R 2 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R 30a b + 260a b + 880a b + 1520a b + 1430a b + 700a b + 140a +--R * +--R 4 +--R sin(x) +--R + +--R 5 2 6 7 14 +--R (- 128a b + 896a b - 896a )cos(x) +--R + +--R 4 3 5 2 6 7 12 +--R (352a b - 2688a b - 672a b + 4928a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 10 +--R (- 328a b + 3296a b + 5664a b - 8064a b - 11256a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R (112a b - 2092a b - 6812a b + 3172a b + 21308a b + 13720a ) +--R * +--R 8 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 10a b + 648a b + 3168a b + 360a b - 15150a b - 22512a b +--R + +--R 7 +--R - 9520a +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R 2b - 58a b - 516a b - 176a b + 5170a b + 12786a b +--R + +--R 6 7 +--R 11592a b + 3696a +--R * +--R 4 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R (24a b + 8a b - 746a b - 2764a b - 4106a b - 2800a b - 728a ) +--R * +--R 2 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R 30a b + 174a b + 398a b + 450a b + 252a b + 56a +--R * +--R 2 +--R sin(x) +--R + +--R 5 2 6 7 16 +--R (32a b - 64a b + 32a )cos(x) +--R + +--R 4 3 5 2 6 7 14 +--R (- 112a b + 80a b + 240a b - 208a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 12 +--R (146a b + 104a b - 612a b - 184a b + 578a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 10 +--R (- 84a b - 208a b + 436a b + 940a b - 448a b - 892a )cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 8 +--R (18a b + 100a b - 96a b - 784a b - 348a b + 1080a b + 830a )cos(x) +--R + +--R 6 3 4 4 3 5 2 6 7 6 +--R (- 12a b + 236a b + 368a b - 360a b - 976a b - 472a )cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 4 +--R (2a b - 20a b - 80a b + 32a b + 372a b + 440a b + 158a )cos(x) +--R + +--R 2 5 4 3 5 2 6 7 2 3 4 4 3 5 2 +--R (4a b - 52a b - 116a b - 96a b - 28a )cos(x) + 2a b + 8a b + 12a b +--R + +--R 6 7 +--R 8a b + 2a +--R / +--R 4 2 5 6 9 +--R (64a b + 192a b + 128a )cos(x) +--R + +--R 4 2 5 6 8 +--R (64a b + 192a b + 128a )cos(x) +--R + +--R 3 3 4 2 5 6 7 +--R (- 144a b - 608a b - 784a b - 320a )cos(x) +--R + +--R 3 3 4 2 5 6 6 +--R (- 144a b - 608a b - 784a b - 320a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 5 +--R (104a b + 576a b + 1104a b + 896a b + 264a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 4 +--R (104a b + 576a b + 1104a b + 896a b + 264a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 3 +--R (- 26a b - 184a b - 476a b - 584a b - 346a b - 80a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 2 +--R (- 26a b - 184a b - 476a b - 584a b - 346a b - 80a )cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (2b + 18a b + 60a b + 100a b + 90a b + 42a b + 8a )cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R 2b + 18a b + 60a b + 100a b + 90a b + 42a b + 8a +--R * +--R 7 +--R sin(x) +--R + +--R 4 2 5 6 11 +--R (64a b - 448a b - 896a )cos(x) +--R + +--R 4 2 5 6 10 +--R (64a b - 448a b - 896a )cos(x) +--R + +--R 3 3 4 2 5 6 9 +--R (- 112a b + 1248a b + 4368a b + 3136a )cos(x) +--R + +--R 3 3 4 2 5 6 8 +--R (- 112a b + 1248a b + 4368a b + 3136a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 7 +--R (40a b - 1424a b - 6672a b - 9296a b - 4088a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 6 +--R (40a b - 1424a b - 6672a b - 9296a b - 4088a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (10a b + 740a b + 4180a b + 8588a b + 7546a b + 2408a ) +--R * +--R 5 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (10a b + 740a b + 4180a b + 8588a b + 7546a b + 2408a ) +--R * +--R 4 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 2b - 132a b - 972a b - 2760a b - 3738a b - 2436a b +--R + +--R 6 +--R - 616a +--R * +--R 3 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 2b - 132a b - 972a b - 2760a b - 3738a b - 2436a b +--R + +--R 6 +--R - 616a +--R * +--R 2 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (6b + 66a b + 260a b + 500a b + 510a b + 266a b + 56a ) +--R * +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R 6b + 66a b + 260a b + 500a b + 510a b + 266a b + 56a +--R * +--R 5 +--R sin(x) +--R + +--R 4 2 5 6 13 +--R (- 64a b - 448a b + 896a )cos(x) +--R + +--R 4 2 5 6 12 +--R (- 64a b - 448a b + 896a )cos(x) +--R + +--R 3 3 4 2 5 6 11 +--R (208a b + 1504a b - 1456a b - 4032a )cos(x) +--R + +--R 3 3 4 2 5 6 10 +--R (208a b + 1504a b - 1456a b - 4032a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 9 +--R (- 232a b - 1824a b + 304a b + 8736a b + 7224a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 8 +--R (- 232a b - 1824a b + 304a b + 8736a b + 7224a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (98a b + 912a b + 300a b - 7280a b - 13230a b - 6496a ) +--R * +--R 7 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (98a b + 912a b + 300a b - 7280a b - 13230a b - 6496a ) +--R * +--R 6 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 10b - 154a b - 24a b + 2940a b + 8350a b + 8554a b +--R + +--R 6 +--R 3024a +--R * +--R 5 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 10b - 154a b - 24a b + 2940a b + 8350a b + 8554a b +--R + +--R 6 +--R 3024a +--R * +--R 4 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 8b - 4a b - 472a b - 1950a b - 3212a b - 2394a b +--R + +--R 6 +--R - 672a +--R * +--R 3 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R 8b - 4a b - 472a b - 1950a b - 3212a b - 2394a b +--R + +--R 6 +--R - 672a +--R * +--R 2 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (20a b + 130a b + 326a b + 398a b + 238a b + 56a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R 20a b + 130a b + 326a b + 398a b + 238a b + 56a +--R * +--R 3 +--R sin(x) +--R + +--R 4 2 5 6 15 +--R (- 64a b + 192a b - 128a )cos(x) +--R + +--R 4 2 5 6 14 +--R (- 64a b + 192a b - 128a )cos(x) +--R + +--R 3 3 4 2 5 6 13 +--R (176a b - 352a b - 464a b + 704a )cos(x) +--R + +--R 3 3 4 2 5 6 12 +--R (176a b - 352a b - 464a b + 704a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 11 +--R (- 168a b + 176a b + 1296a b - 272a b - 1608a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 10 +--R (- 168a b + 176a b + 1296a b - 272a b - 1608a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (62a b - 12a b - 1028a b - 900a b + 1918a b + 1960a ) +--R * +--R 9 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 +--R (62a b - 12a b - 1028a b - 900a b + 1918a b + 1960a ) +--R * +--R 8 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 6b - 4a b + 328a b + 728a b - 638a b - 2392a b +--R + +--R 6 +--R - 1360a +--R * +--R 7 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 +--R - 6b - 4a b + 328a b + 728a b - 638a b - 2392a b +--R + +--R 6 +--R - 1360a +--R * +--R 6 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (2b - 30a b - 152a b + 70a b + 978a b + 1316a b + 528a ) +--R * +--R 5 +--R cos(x) +--R + +--R 6 5 2 4 3 3 4 2 5 6 +--R (2b - 30a b - 152a b + 70a b + 978a b + 1316a b + 528a ) +--R * +--R 4 +--R cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 3 +--R (8a b - 2a b - 148a b - 362a b - 328a b - 104a )cos(x) +--R + +--R 5 2 4 3 3 4 2 5 6 2 +--R (8a b - 2a b - 148a b - 362a b - 328a b - 104a )cos(x) +--R + +--R 2 4 3 3 4 2 5 6 2 4 3 3 +--R (6a b + 26a b + 42a b + 30a b + 8a )cos(x) + 6a b + 26a b +--R + +--R 4 2 5 6 +--R 42a b + 30a b + 8a +--R * +--R sin(x) +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R \|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 5 2 6 7 8 +--R (- 32a b - 64a b - 32a )cos(x) +--R + +--R 4 3 5 2 6 7 6 +--R (80a b + 240a b + 240a b + 80a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 4 +--R (- 66a b - 264a b - 396a b - 264a b - 66a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 2 +--R (20a b + 100a b + 200a b + 200a b + 100a b + 20a )cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R - 2a b - 12a b - 30a b - 40a b - 30a b - 12a b - 2a +--R * +--R 8 +--R sin(x) +--R + +--R 5 2 6 7 10 +--R (128a b + 896a b + 896a )cos(x) +--R + +--R 4 3 5 2 6 7 8 +--R (- 416a b - 3328a b - 6048a b - 3136a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 6 +--R (488a b + 4448a b + 11520a b + 11648a b + 4088a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R (- 240a b - 2540a b - 8588a b - 12924a b - 9044a b - 2408a ) +--R * +--R 4 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R 42a b + 560a b + 2436a b + 4984a b + 5306a b + 2856a b +--R + +--R 7 +--R 616a +--R * +--R 2 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 6 +--R - 2b - 38a b - 216a b - 580a b - 850a b - 702a b - 308a b +--R + +--R 7 +--R - 56a +--R * +--R 6 +--R sin(x) +--R + +--R 5 2 7 12 +--R (320a b - 2240a )cos(x) +--R + +--R 4 3 5 2 6 7 10 +--R (- 960a b - 800a b + 8960a b + 10080a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 8 +--R (1028a b + 1520a b - 13560a b - 31920a b - 18060a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 +--R - 456a b - 756a b + 10620a b + 37380a b + 42700a b +--R + +--R 7 +--R 16240a +--R * +--R 6 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R 72a b + 24a b - 4398a b - 19640a b - 33910a b - 26180a b +--R + +--R 7 +--R - 7560a +--R * +--R 4 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 4b + 8a b + 708a b + 4136a b + 9980a b + 12000a b +--R + +--R 6 7 +--R 7140a b + 1680a +--R * +--R 2 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R - 30a b - 260a b - 880a b - 1520a b - 1430a b - 700a b - 140a +--R * +--R 4 +--R sin(x) +--R + +--R 5 2 6 7 14 +--R (128a b - 896a b + 896a )cos(x) +--R + +--R 4 3 5 2 6 7 12 +--R (- 352a b + 2688a b + 672a b - 4928a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 10 +--R (328a b - 3296a b - 5664a b + 8064a b + 11256a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R (- 112a b + 2092a b + 6812a b - 3172a b - 21308a b - 13720a ) +--R * +--R 8 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R 10a b - 648a b - 3168a b - 360a b + 15150a b + 22512a b +--R + +--R 7 +--R 9520a +--R * +--R 6 +--R cos(x) +--R + +--R 7 6 2 5 3 4 4 3 5 2 +--R - 2b + 58a b + 516a b + 176a b - 5170a b - 12786a b +--R + +--R 6 7 +--R - 11592a b - 3696a +--R * +--R 4 +--R cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 +--R - 24a b - 8a b + 746a b + 2764a b + 4106a b + 2800a b +--R + +--R 7 +--R 728a +--R * +--R 2 +--R cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 +--R - 30a b - 174a b - 398a b - 450a b - 252a b - 56a +--R * +--R 2 +--R sin(x) +--R + +--R 5 2 6 7 16 +--R (- 32a b + 64a b - 32a )cos(x) +--R + +--R 4 3 5 2 6 7 14 +--R (112a b - 80a b - 240a b + 208a )cos(x) +--R + +--R 3 4 4 3 5 2 6 7 12 +--R (- 146a b - 104a b + 612a b + 184a b - 578a )cos(x) +--R + +--R 2 5 3 4 4 3 5 2 6 7 10 +--R (84a b + 208a b - 436a b - 940a b + 448a b + 892a )cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 +--R (- 18a b - 100a b + 96a b + 784a b + 348a b - 1080a b - 830a ) +--R * +--R 8 +--R cos(x) +--R + +--R 6 3 4 4 3 5 2 6 7 6 +--R (12a b - 236a b - 368a b + 360a b + 976a b + 472a )cos(x) +--R + +--R 6 2 5 3 4 4 3 5 2 6 7 4 +--R (- 2a b + 20a b + 80a b - 32a b - 372a b - 440a b - 158a )cos(x) +--R + +--R 2 5 4 3 5 2 6 7 2 3 4 4 3 +--R (- 4a b + 52a b + 116a b + 96a b + 28a )cos(x) - 2a b - 8a b +--R + +--R 5 2 6 7 +--R - 12a b - 8a b - 2a +--R * +--R +-------------+ +--R | 2 +--R \|b csc(x) + a +--R Type: Expression Integer +--E 491 + +--S 492 of 528 +t0393:= (1+csc(x)^2)^(3/2) +--R +--R +--R +-----------+ +--R 2 | 2 +--R (453) (csc(x) + 1)\|csc(x) + 1 +--R Type: Expression Integer +--E 492 + +--S 493 of 528 +r0393:= -2*asinh(1/2*2^(1/2)*cot(x))-atan(cot(x)/(2+cot(x)^2)^(1/2))-1/2*cot(x)*(2+cot(x)^2)^(1/2) +--R +--R +--R +-----------+ +-+ +--R cot(x) | 2 \|2 cot(x) +--R - 2atan(--------------) - cot(x)\|cot(x) + 2 - 4asinh(----------) +--R +-----------+ 2 +--R | 2 +--R \|cot(x) + 2 +--R (454) ------------------------------------------------------------------- +--R 2 +--R Type: Expression Integer +--E 493 + +--S 494 of 528 +a0393:= integrate(t0393,x) +--R +--R +--R (455) +--R 5 4 3 2 +--R (- 16cos(x) - 16cos(x) + 40cos(x) + 40cos(x) - 24cos(x) - 24) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R sin(x) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R 32cos(x) - 128cos(x) + 164cos(x) - 68 +--R * +--R log +--R +---------------------+ +--R | 2 +--R 2 | - 4cos(x) + 8 +--R ((cos(x) + 1)sin(x) + cos(x) + cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 +--R 2cos(x)sin(x) - 2cos(x) + 4 +--R + +--R 5 4 3 2 +--R (16cos(x) + 16cos(x) - 40cos(x) - 40cos(x) + 24cos(x) + 24) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R sin(x) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R - 32cos(x) + 128cos(x) - 164cos(x) + 68 +--R * +--R log +--R +---------------------+ +--R | 2 +--R 2 | - 4cos(x) + 8 +--R ((cos(x) + 1)sin(x) - cos(x) - cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 +--R - 2cos(x)sin(x) - 2cos(x) + 4 +--R + +--R 5 4 3 2 +--R (- 8cos(x) - 8cos(x) + 20cos(x) + 20cos(x) - 12cos(x) - 12) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R sin(x) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R 16cos(x) - 64cos(x) + 82cos(x) - 34 +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 2 +--R (cos(x) + 1)sin(x) |--------------------- - 2cos(x) + 2 +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R atan(----------------------------------------------------------) +--R +---------------------+ +--R | 2 +--R 2 | - 4cos(x) + 8 +--R (cos(x) + cos(x)) |--------------------- + 2cos(x)sin(x) +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 5 4 3 2 +--R (- 8cos(x) - 8cos(x) + 20cos(x) + 20cos(x) - 12cos(x) - 12) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R sin(x) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R 16cos(x) - 64cos(x) + 82cos(x) - 34 +--R * +--R atan +--R 4 3 2 +--R (2cos(x) + 2cos(x) - 2cos(x) - 2cos(x)) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 +--R (4cos(x) - 6cos(x))sin(x) +--R / +--R +---------------------+ +--R | 2 +--R 3 2 | - 4cos(x) + 8 +--R (2cos(x) + 2cos(x) - cos(x) - 1)sin(x) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 4 2 +--R - 4cos(x) + 8cos(x) - 2 +--R + +--R 6 5 4 3 2 +--R (- 8cos(x) - 8cos(x) + 24cos(x) + 24cos(x) - 17cos(x) - 17cos(x)) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 5 3 +--R (- 16cos(x) + 56cos(x) - 48cos(x))sin(x) +--R / +--R 5 4 3 2 +--R (16cos(x) + 16cos(x) - 40cos(x) - 40cos(x) + 24cos(x) + 24)sin(x) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R - 32cos(x) + 128cos(x) - 164cos(x) + 68 +--R Type: Union(Expression Integer,...) +--E 494 + +--S 495 of 528 +m0393:= a0393-r0393 +--R +--R +--R (456) +--R 5 4 3 2 +--R (- 16cos(x) - 16cos(x) + 40cos(x) + 40cos(x) - 24cos(x) - 24) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R sin(x) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R 32cos(x) - 128cos(x) + 164cos(x) - 68 +--R * +--R log +--R +---------------------+ +--R | 2 +--R 2 | - 4cos(x) + 8 +--R ((cos(x) + 1)sin(x) + cos(x) + cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 +--R 2cos(x)sin(x) - 2cos(x) + 4 +--R + +--R 5 4 3 2 +--R (16cos(x) + 16cos(x) - 40cos(x) - 40cos(x) + 24cos(x) + 24) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R sin(x) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R - 32cos(x) + 128cos(x) - 164cos(x) + 68 +--R * +--R log +--R +---------------------+ +--R | 2 +--R 2 | - 4cos(x) + 8 +--R ((cos(x) + 1)sin(x) - cos(x) - cos(x)) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 2 +--R - 2cos(x)sin(x) - 2cos(x) + 4 +--R + +--R 5 4 3 2 +--R (- 8cos(x) - 8cos(x) + 20cos(x) + 20cos(x) - 12cos(x) - 12) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R sin(x) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R 16cos(x) - 64cos(x) + 82cos(x) - 34 +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 2 +--R (cos(x) + 1)sin(x) |--------------------- - 2cos(x) + 2 +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R atan(----------------------------------------------------------) +--R +---------------------+ +--R | 2 +--R 2 | - 4cos(x) + 8 +--R (cos(x) + cos(x)) |--------------------- + 2cos(x)sin(x) +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 5 4 3 2 +--R (- 8cos(x) - 8cos(x) + 20cos(x) + 20cos(x) - 12cos(x) - 12) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R sin(x) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R 16cos(x) - 64cos(x) + 82cos(x) - 34 +--R * +--R atan +--R 4 3 2 +--R (2cos(x) + 2cos(x) - 2cos(x) - 2cos(x)) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 3 +--R (4cos(x) - 6cos(x))sin(x) +--R / +--R +---------------------+ +--R | 2 +--R 3 2 | - 4cos(x) + 8 +--R (2cos(x) + 2cos(x) - cos(x) - 1)sin(x) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 4 2 +--R - 4cos(x) + 8cos(x) - 2 +--R + +--R 5 4 3 2 +--R (16cos(x) + 16cos(x) - 40cos(x) - 40cos(x) + 24cos(x) + 24) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R sin(x) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R - 32cos(x) + 128cos(x) - 164cos(x) + 68 +--R * +--R cot(x) +--R atan(--------------) +--R +-----------+ +--R | 2 +--R \|cot(x) + 2 +--R + +--R 5 4 3 2 +--R (8cos(x) + 8cos(x) - 20cos(x) - 20cos(x) + 12cos(x) + 12)cot(x) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R sin(x) |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R (- 16cos(x) + 64cos(x) - 82cos(x) + 34)cot(x) +--R * +--R +-----------+ +--R | 2 +--R \|cot(x) + 2 +--R + +--R 5 4 3 2 +--R (32cos(x) + 32cos(x) - 80cos(x) - 80cos(x) + 48cos(x) + 48) +--R * +--R +-+ +--R \|2 cot(x) +--R sin(x)asinh(----------) +--R 2 +--R + +--R 6 5 4 3 2 +--R - 8cos(x) - 8cos(x) + 24cos(x) + 24cos(x) - 17cos(x) - 17cos(x) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R +-+ +--R 6 4 2 \|2 cot(x) +--R (- 64cos(x) + 256cos(x) - 328cos(x) + 136)asinh(----------) +--R 2 +--R + +--R 5 3 +--R (- 16cos(x) + 56cos(x) - 48cos(x))sin(x) +--R / +--R 5 4 3 2 +--R (16cos(x) + 16cos(x) - 40cos(x) - 40cos(x) + 24cos(x) + 24)sin(x) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 6 4 2 +--R - 32cos(x) + 128cos(x) - 164cos(x) + 68 +--R Type: Expression Integer +--E 495 + +--S 496 of 528 +d0393:= D(m0393,x) +--R +--R +--R (457) +--R 15 14 13 12 +--R - 1024cos(x) - 1024cos(x) + 10240cos(x) + 10240cos(x) +--R + +--R 11 10 9 8 +--R - 42496cos(x) - 42496cos(x) + 94208cos(x) + 94208cos(x) +--R + +--R 7 6 5 4 +--R - 119360cos(x) - 119360cos(x) + 85376cos(x) + 85376cos(x) +--R + +--R 3 2 +--R - 31488cos(x) - 31488cos(x) + 4608cos(x) + 4608 +--R * +--R 13 +--R sin(x) +--R + +--R 17 16 15 +--R 46080cos(x) + 46080cos(x) - 535552cos(x) +--R + +--R 14 13 12 +--R - 535552cos(x) + 2654464cos(x) + 2654464cos(x) +--R + +--R 11 10 9 +--R - 7291648cos(x) - 7291648cos(x) + 12060432cos(x) +--R + +--R 8 7 6 +--R 12060432cos(x) - 12190352cos(x) - 12190352cos(x) +--R + +--R 5 4 3 +--R 7268100cos(x) + 7268100cos(x) - 2305872cos(x) +--R + +--R 2 +--R - 2305872cos(x) + 296464cos(x) + 296464 +--R * +--R 11 +--R sin(x) +--R + +--R 19 18 17 +--R - 215040cos(x) - 215040cos(x) + 2875392cos(x) +--R + +--R 16 15 14 +--R 2875392cos(x) - 16726272cos(x) - 16726272cos(x) +--R + +--R 13 12 11 +--R 55341568cos(x) + 55341568cos(x) - 114202560cos(x) +--R + +--R 10 9 8 +--R - 114202560cos(x) + 151421856cos(x) + 151421856cos(x) +--R + +--R 7 6 5 +--R - 127862732cos(x) - 127862732cos(x) + 65536828cos(x) +--R + +--R 4 3 2 +--R 65536828cos(x) - 18249572cos(x) - 18249572cos(x) +--R + +--R 2088504cos(x) + 2088504 +--R * +--R 9 +--R sin(x) +--R + +--R 21 20 19 +--R 215040cos(x) + 215040cos(x) - 3311616cos(x) +--R + +--R 18 17 16 +--R - 3311616cos(x) + 22503936cos(x) + 22503936cos(x) +--R + +--R 15 14 13 +--R - 88596480cos(x) - 88596480cos(x) + 222921504cos(x) +--R + +--R 12 11 10 +--R 222921504cos(x) - 372688704cos(x) - 372688704cos(x) +--R + +--R 9 8 7 +--R 416461200cos(x) + 416461200cos(x) - 304378284cos(x) +--R + +--R 6 5 4 +--R - 304378284cos(x) + 137582997cos(x) + 137582997cos(x) +--R + +--R 3 2 +--R - 34232392cos(x) - 34232392cos(x) + 3530396cos(x) + 3530396 +--R * +--R 7 +--R sin(x) +--R + +--R 23 22 21 +--R - 46080cos(x) - 46080cos(x) + 841728cos(x) +--R + +--R 20 19 18 +--R 841728cos(x) - 6819840cos(x) - 6819840cos(x) +--R + +--R 17 16 15 +--R 32308736cos(x) + 32308736cos(x) - 99219776cos(x) +--R + +--R 14 13 12 +--R - 99219776cos(x) + 206709024cos(x) + 206709024cos(x) +--R + +--R 11 10 9 +--R - 296710832cos(x) - 296710832cos(x) + 291513244cos(x) +--R + +--R 8 7 6 +--R 291513244cos(x) - 190360182cos(x) - 190360182cos(x) +--R + +--R 5 4 3 +--R 77707516cos(x) + 77707516cos(x) - 17574633cos(x) +--R + +--R 2 +--R - 17574633cos(x) + 1653202cos(x) + 1653202 +--R * +--R 5 +--R sin(x) +--R + +--R 25 24 23 22 +--R 1024cos(x) + 1024cos(x) - 27648cos(x) - 27648cos(x) +--R + +--R 21 20 19 +--R 306432cos(x) + 306432cos(x) - 1912064cos(x) +--R + +--R 18 17 16 +--R - 1912064cos(x) + 7602256cos(x) + 7602256cos(x) +--R + +--R 15 14 13 +--R - 20437168cos(x) - 20437168cos(x) + 38177516cos(x) +--R + +--R 12 11 10 +--R 38177516cos(x) - 49868420cos(x) - 49868420cos(x) +--R + +--R 9 8 7 +--R 45001749cos(x) + 45001749cos(x) - 27139540cos(x) +--R + +--R 6 5 4 +--R - 27139540cos(x) + 10255110cos(x) + 10255110cos(x) +--R + +--R 3 2 +--R - 2145416cos(x) - 2145416cos(x) + 186312cos(x) + 186312 +--R * +--R 3 +--R sin(x) +--R + +--R 23 22 21 20 +--R - 256cos(x) - 256cos(x) + 4096cos(x) + 4096cos(x) +--R + +--R 19 18 17 +--R - 29248cos(x) - 29248cos(x) + 122688cos(x) +--R + +--R 16 15 14 +--R 122688cos(x) - 334724cos(x) - 334724cos(x) +--R + +--R 13 12 11 +--R 620776cos(x) + 620776cos(x) - 793716cos(x) +--R + +--R 10 9 8 +--R - 793716cos(x) + 693872cos(x) + 693872cos(x) +--R + +--R 7 6 5 +--R - 401825cos(x) - 401825cos(x) + 144518cos(x) +--R + +--R 4 3 2 +--R 144518cos(x) - 28492cos(x) - 28492cos(x) + 2312cos(x) + 2312 +--R * +--R sin(x) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 16 14 12 +--R 20480cos(x) - 241664cos(x) + 1217024cos(x) +--R + +--R 10 8 6 +--R - 3399936cos(x) + 5726336cos(x) - 5904064cos(x) +--R + +--R 4 2 +--R 3599488cos(x) - 1171712cos(x) + 155136 +--R * +--R 12 +--R sin(x) +--R + +--R 18 16 14 +--R - 245760cos(x) + 3311616cos(x) - 19429376cos(x) +--R + +--R 12 10 8 +--R 64904704cos(x) - 135403392cos(x) + 181804064cos(x) +--R + +--R 6 4 2 +--R - 155813328cos(x) + 81311600cos(x) - 23151616cos(x) + 2721472 +--R * +--R 10 +--R sin(x) +--R + +--R 20 18 16 +--R 516096cos(x) - 7913472cos(x) + 53627904cos(x) +--R + +--R 14 12 10 +--R - 210905600cos(x) + 531091456cos(x) - 890489920cos(x) +--R + +--R 8 6 4 +--R 1000504352cos(x) - 737549928cos(x) + 337651504cos(x) +--R + +--R 2 +--R - 85549024cos(x) + 9034816 +--R * +--R 8 +--R sin(x) +--R + +--R 22 20 18 +--R - 245760cos(x) + 4337664cos(x) - 34166784cos(x) +--R + +--R 16 14 12 +--R 158196736cos(x) - 477072640cos(x) + 980334976cos(x) +--R + +--R 10 8 6 +--R - 1393969280cos(x) + 1362777000cos(x) - 889898528cos(x) +--R + +--R 4 2 +--R 365407500cos(x) - 83728304cos(x) + 8036784 +--R * +--R 6 +--R sin(x) +--R + +--R 24 22 20 +--R 20480cos(x) - 446464cos(x) + 4305408cos(x) +--R + +--R 18 16 14 +--R - 24354048cos(x) + 90074496cos(x) - 229303296cos(x) +--R + +--R 12 10 8 +--R 411061472cos(x) - 520804600cos(x) + 460100008cos(x) +--R + +--R 6 4 2 +--R - 274035048cos(x) + 103201848cos(x) - 21737344cos(x) + 1918432 +--R * +--R 4 +--R sin(x) +--R + +--R 24 22 20 18 +--R 2048cos(x) - 40960cos(x) + 366080cos(x) - 1932672cos(x) +--R + +--R 16 14 12 +--R 6703968cos(x) - 16059696cos(x) + 27149320cos(x) +--R + +--R 10 8 6 +--R - 32472344cos(x) + 27080892cos(x) - 15205928cos(x) +--R + +--R 4 2 +--R 5382480cos(x) - 1060192cos(x) + 87040 +--R * +--R 2 +--R sin(x) +--R * +--R +-----------+ +--R | 2 +--R \|cot(x) + 2 +--R + +--R 17 16 15 +--R - 10240cos(x) - 10240cos(x) + 100352cos(x) +--R + +--R 14 13 12 +--R 100352cos(x) - 418048cos(x) - 418048cos(x) +--R + +--R 11 10 9 +--R 964224cos(x) + 964224cos(x) - 1342528cos(x) +--R + +--R 8 7 6 +--R - 1342528cos(x) + 1151328cos(x) + 1151328cos(x) +--R + +--R 5 4 3 +--R - 591552cos(x) - 591552cos(x) + 165856cos(x) +--R + +--R 2 +--R 165856cos(x) - 19392cos(x) - 19392 +--R * +--R 4 +--R cot(x) +--R + +--R 17 16 15 +--R - 40960cos(x) - 40960cos(x) + 401408cos(x) +--R + +--R 14 13 12 +--R 401408cos(x) - 1672192cos(x) - 1672192cos(x) +--R + +--R 11 10 9 +--R 3856896cos(x) + 3856896cos(x) - 5370112cos(x) +--R + +--R 8 7 6 +--R - 5370112cos(x) + 4605312cos(x) + 4605312cos(x) +--R + +--R 5 4 3 +--R - 2366208cos(x) - 2366208cos(x) + 663424cos(x) +--R + +--R 2 +--R 663424cos(x) - 77568cos(x) - 77568 +--R * +--R 2 +--R cot(x) +--R + +--R 17 16 15 14 +--R - 40960cos(x) - 40960cos(x) + 401408cos(x) + 401408cos(x) +--R + +--R 13 12 11 +--R - 1672192cos(x) - 1672192cos(x) + 3856896cos(x) +--R + +--R 10 9 8 +--R 3856896cos(x) - 5370112cos(x) - 5370112cos(x) +--R + +--R 7 6 5 4 +--R 4605312cos(x) + 4605312cos(x) - 2366208cos(x) - 2366208cos(x) +--R + +--R 3 2 +--R 663424cos(x) + 663424cos(x) - 77568cos(x) - 77568 +--R * +--R 11 +--R sin(x) +--R + +--R 19 18 17 +--R 122880cos(x) + 122880cos(x) - 1410048cos(x) +--R + +--R 16 15 14 +--R - 1410048cos(x) + 7017472cos(x) + 7017472cos(x) +--R + +--R 13 12 11 +--R - 19827456cos(x) - 19827456cos(x) + 34941376cos(x) +--R + +--R 10 9 8 +--R 34941376cos(x) - 39682448cos(x) - 39682448cos(x) +--R + +--R 7 6 5 +--R 28917128cos(x) + 28917128cos(x) - 12972856cos(x) +--R + +--R 4 3 2 +--R - 12972856cos(x) + 3234136cos(x) + 3234136cos(x) +--R + +--R - 340184cos(x) - 340184 +--R * +--R 4 +--R cot(x) +--R + +--R 19 18 17 +--R 491520cos(x) + 491520cos(x) - 5640192cos(x) +--R + +--R 16 15 14 +--R - 5640192cos(x) + 28069888cos(x) + 28069888cos(x) +--R + +--R 13 12 11 +--R - 79309824cos(x) - 79309824cos(x) + 139765504cos(x) +--R + +--R 10 9 8 +--R 139765504cos(x) - 158729792cos(x) - 158729792cos(x) +--R + +--R 7 6 5 +--R 115668512cos(x) + 115668512cos(x) - 51891424cos(x) +--R + +--R 4 3 2 +--R - 51891424cos(x) + 12936544cos(x) + 12936544cos(x) +--R + +--R - 1360736cos(x) - 1360736 +--R * +--R 2 +--R cot(x) +--R + +--R 19 18 17 +--R 491520cos(x) + 491520cos(x) - 5640192cos(x) +--R + +--R 16 15 14 +--R - 5640192cos(x) + 28069888cos(x) + 28069888cos(x) +--R + +--R 13 12 11 +--R - 79309824cos(x) - 79309824cos(x) + 139765504cos(x) +--R + +--R 10 9 8 +--R 139765504cos(x) - 158729792cos(x) - 158729792cos(x) +--R + +--R 7 6 5 +--R 115668512cos(x) + 115668512cos(x) - 51891424cos(x) +--R + +--R 4 3 2 +--R - 51891424cos(x) + 12936544cos(x) + 12936544cos(x) +--R + +--R - 1360736cos(x) - 1360736 +--R * +--R 9 +--R sin(x) +--R + +--R 21 20 19 +--R - 258048cos(x) - 258048cos(x) + 3440640cos(x) +--R + +--R 18 17 16 +--R 3440640cos(x) - 20190720cos(x) - 20190720cos(x) +--R + +--R 15 14 13 +--R 68512000cos(x) + 68512000cos(x) - 148454400cos(x) +--R + +--R 12 11 10 +--R - 148454400cos(x) + 213923616cos(x) + 213923616cos(x) +--R + +--R 9 8 7 +--R - 206775760cos(x) - 206775760cos(x) + 131726772cos(x) +--R + +--R 6 5 4 +--R 131726772cos(x) - 52617728cos(x) - 52617728cos(x) +--R + +--R 3 2 +--R 11822980cos(x) + 11822980cos(x) - 1129352cos(x) - 1129352 +--R * +--R 4 +--R cot(x) +--R + +--R 21 20 19 +--R - 1032192cos(x) - 1032192cos(x) + 13762560cos(x) +--R + +--R 18 17 16 +--R 13762560cos(x) - 80762880cos(x) - 80762880cos(x) +--R + +--R 15 14 13 +--R 274048000cos(x) + 274048000cos(x) - 593817600cos(x) +--R + +--R 12 11 10 +--R - 593817600cos(x) + 855694464cos(x) + 855694464cos(x) +--R + +--R 9 8 7 +--R - 827103040cos(x) - 827103040cos(x) + 526907088cos(x) +--R + +--R 6 5 4 +--R 526907088cos(x) - 210470912cos(x) - 210470912cos(x) +--R + +--R 3 2 +--R 47291920cos(x) + 47291920cos(x) - 4517408cos(x) - 4517408 +--R * +--R 2 +--R cot(x) +--R + +--R 21 20 19 +--R - 1032192cos(x) - 1032192cos(x) + 13762560cos(x) +--R + +--R 18 17 16 +--R 13762560cos(x) - 80762880cos(x) - 80762880cos(x) +--R + +--R 15 14 13 +--R 274048000cos(x) + 274048000cos(x) - 593817600cos(x) +--R + +--R 12 11 10 +--R - 593817600cos(x) + 855694464cos(x) + 855694464cos(x) +--R + +--R 9 8 7 +--R - 827103040cos(x) - 827103040cos(x) + 526907088cos(x) +--R + +--R 6 5 4 +--R 526907088cos(x) - 210470912cos(x) - 210470912cos(x) +--R + +--R 3 2 +--R 47291920cos(x) + 47291920cos(x) - 4517408cos(x) - 4517408 +--R * +--R 7 +--R sin(x) +--R + +--R 23 22 21 +--R 122880cos(x) + 122880cos(x) - 1923072cos(x) +--R + +--R 20 19 18 +--R - 1923072cos(x) + 13360128cos(x) + 13360128cos(x) +--R + +--R 17 16 15 +--R - 54301184cos(x) - 54301184cos(x) + 143171200cos(x) +--R + +--R 14 13 12 +--R 143171200cos(x) - 256448960cos(x) - 256448960cos(x) +--R + +--R 11 10 9 +--R 317375296cos(x) + 317375296cos(x) - 270228244cos(x) +--R + +--R 8 7 6 +--R - 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5317288cos(x) + 2501744cos(x) - 751336cos(x) +--R + +--R 2 +--R 127840cos(x) - 9248 +--R * +--R 2 +--R cot(x) +--R + +--R 24 22 20 18 +--R - 2048cos(x) + 32768cos(x) - 236032cos(x) + 1010176cos(x) +--R + +--R 16 14 12 10 +--R - 2854432cos(x) + 5594432cos(x) - 7771072cos(x) + 7674496cos(x) +--R + +--R 8 6 4 2 +--R - 5317288cos(x) + 2501744cos(x) - 751336cos(x) + 127840cos(x) - 9248 +--R / +--R 17 16 15 14 +--R 10240cos(x) + 10240cos(x) - 100352cos(x) - 100352cos(x) +--R + +--R 13 12 11 +--R 418048cos(x) + 418048cos(x) - 964224cos(x) +--R + +--R 10 9 8 +--R - 964224cos(x) + 1342528cos(x) + 1342528cos(x) +--R + +--R 7 6 5 +--R - 1151328cos(x) - 1151328cos(x) + 591552cos(x) +--R + +--R 4 3 2 +--R 591552cos(x) - 165856cos(x) - 165856cos(x) + 19392cos(x) +--R + +--R 19392 +--R * +--R 11 +--R sin(x) +--R + +--R 19 18 17 +--R - 122880cos(x) - 122880cos(x) + 1410048cos(x) +--R + +--R 16 15 14 +--R 1410048cos(x) - 7017472cos(x) - 7017472cos(x) +--R + +--R 13 12 11 +--R 19827456cos(x) + 19827456cos(x) - 34941376cos(x) +--R + +--R 10 9 8 +--R - 34941376cos(x) + 39682448cos(x) + 39682448cos(x) +--R + +--R 7 6 5 +--R - 28917128cos(x) - 28917128cos(x) + 12972856cos(x) +--R + +--R 4 3 2 +--R 12972856cos(x) - 3234136cos(x) - 3234136cos(x) +--R + +--R 340184cos(x) + 340184 +--R * +--R 9 +--R sin(x) +--R + +--R 21 20 19 +--R 258048cos(x) + 258048cos(x) - 3440640cos(x) +--R + +--R 18 17 16 +--R - 3440640cos(x) + 20190720cos(x) + 20190720cos(x) +--R + +--R 15 14 13 +--R - 68512000cos(x) - 68512000cos(x) + 148454400cos(x) +--R + +--R 12 11 10 +--R 148454400cos(x) - 213923616cos(x) - 213923616cos(x) +--R + +--R 9 8 7 +--R 206775760cos(x) + 206775760cos(x) - 131726772cos(x) +--R + +--R 6 5 4 +--R - 131726772cos(x) + 52617728cos(x) + 52617728cos(x) +--R + +--R 3 2 +--R - 11822980cos(x) - 11822980cos(x) + 1129352cos(x) + 1129352 +--R * +--R 7 +--R sin(x) +--R + +--R 23 22 21 +--R - 122880cos(x) - 122880cos(x) + 1923072cos(x) +--R + +--R 20 19 18 +--R 1923072cos(x) - 13360128cos(x) - 13360128cos(x) +--R + +--R 17 16 15 +--R 54301184cos(x) + 54301184cos(x) - 143171200cos(x) +--R + +--R 14 13 12 +--R - 143171200cos(x) + 256448960cos(x) + 256448960cos(x) +--R + +--R 11 10 9 +--R - 317375296cos(x) - 317375296cos(x) + 270228244cos(x) +--R + +--R 8 7 6 +--R 270228244cos(x) - 154296744cos(x) - 154296744cos(x) +--R + +--R 5 4 3 +--R 55890826cos(x) + 55890826cos(x) - 11470636cos(x) +--R + +--R 2 +--R - 11470636cos(x) + 1004598cos(x) + 1004598 +--R * +--R 5 +--R sin(x) +--R + +--R 25 24 23 22 +--R 10240cos(x) + 10240cos(x) - 202752cos(x) - 202752cos(x) +--R + +--R 21 20 19 +--R 1757440cos(x) + 1757440cos(x) - 8864896cos(x) +--R + +--R 18 17 16 +--R - 8864896cos(x) + 29054656cos(x) + 29054656cos(x) +--R + +--R 15 14 13 +--R - 65224960cos(x) - 65224960cos(x) + 102752816cos(x) +--R + +--R 12 11 10 +--R 102752816cos(x) - 114204316cos(x) - 114204316cos(x) +--R + +--R 9 8 7 +--R 88556812cos(x) + 88556812cos(x) - 46475320cos(x) +--R + +--R 6 5 4 +--R - 46475320cos(x) + 15557448cos(x) + 15557448cos(x) +--R + +--R 3 2 +--R - 2956972cos(x) - 2956972cos(x) + 239804cos(x) + 239804 +--R * +--R 3 +--R sin(x) +--R + +--R 25 24 23 22 +--R 1024cos(x) + 1024cos(x) - 18432cos(x) - 18432cos(x) +--R + +--R 21 20 19 +--R 147200cos(x) + 147200cos(x) - 690368cos(x) +--R + +--R 18 17 16 +--R - 690368cos(x) + 2117424cos(x) + 2117424cos(x) +--R + +--R 15 14 13 +--R - 4468984cos(x) - 4468984cos(x) + 6640708cos(x) +--R + +--R 12 11 10 +--R 6640708cos(x) - 6976572cos(x) - 6976572cos(x) +--R + +--R 9 8 7 +--R 5118330cos(x) + 5118330cos(x) - 2540420cos(x) +--R + +--R 6 5 4 +--R - 2540420cos(x) + 802614cos(x) + 802614cos(x) +--R + +--R 3 2 +--R - 143404cos(x) - 143404cos(x) + 10880cos(x) + 10880 +--R * +--R sin(x) +--R * +--R +---------------------+ +--R | 2 +--R | - 4cos(x) + 8 +--R |--------------------- +--R | 2 +--R \|cos(x) + 2cos(x) + 1 +--R + +--R 16 14 12 10 +--R 2048cos(x) - 20480cos(x) + 87040cos(x) - 204800cos(x) +--R + +--R 8 6 4 2 +--R 290944cos(x) - 254720cos(x) + 133760cos(x) - 38400cos(x) + 4608 +--R * +--R 12 +--R sin(x) +--R + +--R 18 16 14 +--R - 92160cos(x) + 1071104cos(x) - 5401088cos(x) +--R + +--R 12 10 8 +--R 15470080cos(x) - 27656224cos(x) + 31893280cos(x) +--R + +--R 6 4 2 +--R - 23631912cos(x) + 10801024cos(x) - 2750568cos(x) + 296464 +--R * +--R 10 +--R sin(x) +--R + +--R 20 18 16 +--R 430080cos(x) - 5750784cos(x) + 33882624cos(x) +--R + +--R 14 12 10 +--R - 115573760cos(x) + 252076416cos(x) - 366184256cos(x) +--R + +--R 8 6 4 +--R 357449496cos(x) - 230469304cos(x) + 93433312cos(x) +--R + +--R 2 +--R - 21382328cos(x) + 2088504 +--R * +--R 8 +--R sin(x) +--R + +--R 22 20 18 +--R - 430080cos(x) + 6623232cos(x) - 45437952cos(x) +--R + +--R 16 14 12 +--R 182956032cos(x) - 479324736cos(x) + 855606912cos(x) +--R + +--R 10 8 6 +--R - 1058306400cos(x) + 903365976cos(x) - 518869578cos(x) +--R + +--R 4 2 +--R 189814184cos(x) - 39527986cos(x) + 3530396 +--R * +--R 6 +--R sin(x) +--R + +--R 24 22 20 +--R 92160cos(x) - 1683456cos(x) + 13731840cos(x) +--R + +--R 18 16 14 +--R - 66116608cos(x) + 209080960cos(x) - 456752704cos(x) +--R + +--R 12 10 8 +--R 705191904cos(x) - 772904056cos(x) + 594386892cos(x) +--R + +--R 6 4 2 +--R - 311108464cos(x) + 104482766cos(x) - 20054436cos(x) + 1653202 +--R * +--R 4 +--R sin(x) +--R + +--R 26 24 22 20 +--R - 2048cos(x) + 55296cos(x) - 614912cos(x) + 3875328cos(x) +--R + +--R 18 16 14 +--R - 15714976cos(x) + 43677536cos(x) - 85953144cos(x) +--R + +--R 12 10 8 +--R 121414952cos(x) - 123002306cos(x) + 88018304cos(x) +--R + +--R 6 4 2 +--R - 43035270cos(x) + 13519812cos(x) - 2424884cos(x) + 186312 +--R * +--R 2 +--R sin(x) +--R + +--R 24 22 20 18 +--R 512cos(x) - 8192cos(x) + 59008cos(x) - 252544cos(x) +--R + +--R 16 14 12 10 +--R 713608cos(x) - 1398608cos(x) + 1942768cos(x) - 1918624cos(x) +--R + +--R 8 6 4 2 +--R 1329322cos(x) - 625436cos(x) + 187834cos(x) - 31960cos(x) + 2312 +--R * +--R +-----------+ +--R | 2 +--R \|cot(x) + 2 +--R Type: Expression Integer +--E 496 + +--S 497 of 528 +t0394:= (1-csc(x)^2)^(3/2) +--R +--R +--R +-------------+ +--R 2 | 2 +--R (458) (- csc(x) + 1)\|- csc(x) + 1 +--R Type: Expression Integer +--E 497 + +--S 498 of 528 +r0394:= 1/2*(-cot(x)^2)^(1/2)*(cot(x)^2+2*log(sin(x)))*tan(x) +--R +--R +--R +---------+ +--R 2 | 2 +--R (2tan(x)log(sin(x)) + cot(x) tan(x))\|- cot(x) +--R (459) ------------------------------------------------ +--R 2 +--R Type: Expression Integer +--E 498 + +--S 499 of 528 +a0394:= integrate(t0394,x) +--R +--R +--R (460) +--R x 16 x 2 x 14 x 4 x 12 +--R - sin(-) - 8cos(-) sin(-) + (- 28cos(-) + 4)sin(-) +--R 2 2 2 2 2 +--R + +--R x 6 x 2 x 10 +--R (- 56cos(-) - 8cos(-) )sin(-) +--R 2 2 2 +--R + +--R x 8 x 4 x 8 +--R (- 70cos(-) - 68cos(-) - 6)sin(-) +--R 2 2 2 +--R + +--R x 10 x 6 x 2 x 6 +--R (- 56cos(-) - 112cos(-) + 40cos(-) )sin(-) +--R 2 2 2 2 +--R + +--R x 12 x 8 x 4 x 4 +--R (- 28cos(-) - 68cos(-) - 164cos(-) + 4)sin(-) +--R 2 2 2 2 +--R + +--R x 14 x 10 x 6 x 2 x 2 x 16 +--R (- 8cos(-) - 8cos(-) + 40cos(-) - 24cos(-) )sin(-) - cos(-) +--R 2 2 2 2 2 2 +--R + +--R x 12 x 8 x 4 +--R 4cos(-) - 6cos(-) + 4cos(-) - 1 +--R 2 2 2 +--R * +--R x x 3 x 3 x x +--R 2cos(-)sin(-) + (2cos(-) - 2cos(-))sin(-) +--R 2 2 2 2 2 +--R atan(-------------------------------------------) +--R x 4 x 2 x 4 x 2 +--R sin(-) - sin(-) - cos(-) - 3cos(-) +--R 2 2 2 2 +--R + +--R x x 11 x 3 x 9 x 5 x 7 +--R - 8cos(-)sin(-) - 24cos(-) sin(-) - 16cos(-) sin(-) +--R 2 2 2 2 2 2 +--R + +--R x 7 x 5 x 9 x x 3 +--R 16cos(-) sin(-) + (24cos(-) + 8cos(-))sin(-) +--R 2 2 2 2 2 +--R + +--R x 11 x 3 x +--R (8cos(-) - 8cos(-) )sin(-) +--R 2 2 2 +--R / +--R x 16 x 2 x 14 x 4 x 12 +--R sin(-) + 8cos(-) sin(-) + (28cos(-) - 4)sin(-) +--R 2 2 2 2 2 +--R + +--R x 6 x 2 x 10 x 8 x 4 x 8 +--R (56cos(-) + 8cos(-) )sin(-) + (70cos(-) + 68cos(-) + 6)sin(-) +--R 2 2 2 2 2 2 +--R + +--R x 10 x 6 x 2 x 6 +--R (56cos(-) + 112cos(-) - 40cos(-) )sin(-) +--R 2 2 2 2 +--R + +--R x 12 x 8 x 4 x 4 +--R (28cos(-) + 68cos(-) + 164cos(-) - 4)sin(-) +--R 2 2 2 2 +--R + +--R x 14 x 10 x 6 x 2 x 2 x 16 +--R (8cos(-) + 8cos(-) - 40cos(-) + 24cos(-) )sin(-) + cos(-) +--R 2 2 2 2 2 2 +--R + +--R x 12 x 8 x 4 +--R - 4cos(-) + 6cos(-) - 4cos(-) + 1 +--R 2 2 2 +--R Type: Union(Expression Integer,...) +--E 499 + +--S 500 of 528 +m0394:= a0394-r0394 +--R +--R +--R (461) +--R x 16 x 2 x 14 x 4 x 12 +--R - 2sin(-) - 16cos(-) sin(-) + (- 56cos(-) + 8)sin(-) +--R 2 2 2 2 2 +--R + +--R x 6 x 2 x 10 +--R (- 112cos(-) - 16cos(-) )sin(-) +--R 2 2 2 +--R + +--R x 8 x 4 x 8 +--R (- 140cos(-) - 136cos(-) - 12)sin(-) +--R 2 2 2 +--R + +--R x 10 x 6 x 2 x 6 +--R (- 112cos(-) - 224cos(-) + 80cos(-) )sin(-) +--R 2 2 2 2 +--R + +--R x 12 x 8 x 4 x 4 +--R (- 56cos(-) - 136cos(-) - 328cos(-) + 8)sin(-) +--R 2 2 2 2 +--R + +--R x 14 x 10 x 6 x 2 x 2 +--R (- 16cos(-) - 16cos(-) + 80cos(-) - 48cos(-) )sin(-) +--R 2 2 2 2 2 +--R + +--R x 16 x 12 x 8 x 4 +--R - 2cos(-) + 8cos(-) - 12cos(-) + 8cos(-) - 2 +--R 2 2 2 2 +--R * +--R tan(x)log(sin(x)) +--R + +--R 2 x 16 x 2 2 x 14 +--R - cot(x) sin(-) - 8cos(-) cot(x) sin(-) +--R 2 2 2 +--R + +--R x 4 2 x 12 +--R (- 28cos(-) + 4)cot(x) sin(-) +--R 2 2 +--R + +--R x 6 x 2 2 x 10 +--R (- 56cos(-) - 8cos(-) )cot(x) sin(-) +--R 2 2 2 +--R + +--R x 8 x 4 2 x 8 +--R (- 70cos(-) - 68cos(-) - 6)cot(x) sin(-) +--R 2 2 2 +--R + +--R x 10 x 6 x 2 2 x 6 +--R (- 56cos(-) - 112cos(-) + 40cos(-) )cot(x) sin(-) +--R 2 2 2 2 +--R + +--R x 12 x 8 x 4 2 x 4 +--R (- 28cos(-) - 68cos(-) - 164cos(-) + 4)cot(x) sin(-) +--R 2 2 2 2 +--R + +--R x 14 x 10 x 6 x 2 2 x 2 +--R (- 8cos(-) - 8cos(-) + 40cos(-) - 24cos(-) )cot(x) sin(-) +--R 2 2 2 2 2 +--R + +--R x 16 x 12 x 8 x 4 2 +--R (- cos(-) + 4cos(-) - 6cos(-) + 4cos(-) - 1)cot(x) +--R 2 2 2 2 +--R * +--R tan(x) +--R * +--R +---------+ +--R | 2 +--R \|- cot(x) +--R + +--R x 16 x 2 x 14 x 4 x 12 +--R - 2sin(-) - 16cos(-) sin(-) + (- 56cos(-) + 8)sin(-) +--R 2 2 2 2 2 +--R + +--R x 6 x 2 x 10 +--R (- 112cos(-) - 16cos(-) )sin(-) +--R 2 2 2 +--R + +--R x 8 x 4 x 8 +--R (- 140cos(-) - 136cos(-) - 12)sin(-) +--R 2 2 2 +--R + +--R x 10 x 6 x 2 x 6 +--R (- 112cos(-) - 224cos(-) + 80cos(-) )sin(-) +--R 2 2 2 2 +--R + +--R x 12 x 8 x 4 x 4 +--R (- 56cos(-) - 136cos(-) - 328cos(-) + 8)sin(-) +--R 2 2 2 2 +--R + +--R x 14 x 10 x 6 x 2 x 2 +--R (- 16cos(-) - 16cos(-) + 80cos(-) - 48cos(-) )sin(-) +--R 2 2 2 2 2 +--R + +--R x 16 x 12 x 8 x 4 +--R - 2cos(-) + 8cos(-) - 12cos(-) + 8cos(-) - 2 +--R 2 2 2 2 +--R * +--R x x 3 x 3 x x +--R 2cos(-)sin(-) + (2cos(-) - 2cos(-))sin(-) +--R 2 2 2 2 2 +--R atan(-------------------------------------------) +--R x 4 x 2 x 4 x 2 +--R sin(-) - sin(-) - cos(-) - 3cos(-) +--R 2 2 2 2 +--R + +--R x x 11 x 3 x 9 x 5 x 7 +--R - 16cos(-)sin(-) - 48cos(-) sin(-) - 32cos(-) sin(-) +--R 2 2 2 2 2 2 +--R + +--R x 7 x 5 x 9 x x 3 +--R 32cos(-) sin(-) + (48cos(-) + 16cos(-))sin(-) +--R 2 2 2 2 2 +--R + +--R x 11 x 3 x +--R (16cos(-) - 16cos(-) )sin(-) +--R 2 2 2 +--R / +--R x 16 x 2 x 14 x 4 x 12 +--R 2sin(-) + 16cos(-) sin(-) + (56cos(-) - 8)sin(-) +--R 2 2 2 2 2 +--R + +--R x 6 x 2 x 10 x 8 x 4 x 8 +--R (112cos(-) + 16cos(-) )sin(-) + (140cos(-) + 136cos(-) + 12)sin(-) +--R 2 2 2 2 2 2 +--R + +--R x 10 x 6 x 2 x 6 +--R (112cos(-) + 224cos(-) - 80cos(-) )sin(-) +--R 2 2 2 2 +--R + +--R x 12 x 8 x 4 x 4 +--R (56cos(-) + 136cos(-) + 328cos(-) - 8)sin(-) +--R 2 2 2 2 +--R + +--R x 14 x 10 x 6 x 2 x 2 x 16 +--R (16cos(-) + 16cos(-) - 80cos(-) + 48cos(-) )sin(-) + 2cos(-) +--R 2 2 2 2 2 2 +--R + +--R x 12 x 8 x 4 +--R - 8cos(-) + 12cos(-) - 8cos(-) + 2 +--R 2 2 2 +--R Type: Expression Integer +--E 500 + +--S 501 of 528 +d0394:= D(m0394,x) +--R +--R +--R (462) +--R x 30 x 2 x 28 +--R 2sin(-) + (30cos(-) - 4)sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 x 26 +--R (210cos(-) - 48cos(-) - 2)sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 x 24 +--R (910cos(-) - 260cos(-) - 2cos(-) + 8)sin(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 x 22 +--R (2730cos(-) - 832cos(-) + 100cos(-) - 80cos(-) + 10)sin(-) +--R 2 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 x 2 +--R 6006cos(-) - 1716cos(-) + 660cos(-) - 320cos(-) - 386cos(-) +--R 2 2 2 2 2 +--R + +--R - 28 +--R * +--R x 20 +--R sin(-) +--R 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 10010cos(-) - 2288cos(-) + 2090cos(-) + 1040cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 2138cos(-) + 1248cos(-) - 26 +--R 2 2 +--R * +--R x 18 +--R sin(-) +--R 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 12870cos(-) - 1716cos(-) + 4026cos(-) + 7624cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 4446cos(-) + 6348cos(-) - 546cos(-) + 80 +--R 2 2 2 +--R * +--R x 16 +--R sin(-) +--R 2 +--R + +--R x 16 x 12 x 10 x 8 +--R 12870cos(-) + 5016cos(-) + 17888cos(-) - 5660cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 6080cos(-) - 4392cos(-) - 672cos(-) + 6 +--R 2 2 2 +--R * +--R x 14 +--R sin(-) +--R 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 10010cos(-) + 1716cos(-) + 3960cos(-) + 21952cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 9044cos(-) - 5016cos(-) - 5864cos(-) + 2656cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 650cos(-) - 92 +--R 2 +--R * +--R x 12 +--R sin(-) +--R 2 +--R + +--R x 20 x 18 x 16 x 14 +--R 6006cos(-) + 2288cos(-) + 1650cos(-) + 14624cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R - 16884cos(-) - 1408cos(-) + 564cos(-) - 8736cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 1538cos(-) - 304cos(-) + 26 +--R 2 2 +--R * +--R x 10 +--R sin(-) +--R 2 +--R + +--R x 22 x 20 x 18 x 16 +--R 2730cos(-) + 1716cos(-) - 110cos(-) + 4120cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 6 +--R - 20668cos(-) + 16152cos(-) - 1372cos(-) + 10674cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 4748cos(-) + 170cos(-) + 40 +--R 2 2 +--R * +--R x 8 +--R sin(-) +--R 2 +--R + +--R x 24 x 22 x 20 x 18 +--R 910cos(-) + 832cos(-) - 572cos(-) - 656cos(-) +--R 2 2 2 2 +--R + +--R x 16 x 14 x 12 x 10 +--R - 13966cos(-) + 12864cos(-) - 11272cos(-) + 8736cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R - 13614cos(-) + 6272cos(-) + 4484cos(-) - 144cos(-) - 18 +--R 2 2 2 2 +--R * +--R x 6 +--R sin(-) +--R 2 +--R + +--R x 26 x 24 x 22 x 20 +--R 210cos(-) + 260cos(-) - 332cos(-) - 640cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R - 4490cos(-) - 1036cos(-) - 9864cos(-) - 2656cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 x 2 +--R 5278cos(-) - 4532cos(-) - 6252cos(-) - 608cos(-) + 90cos(-) +--R 2 2 2 2 2 +--R + +--R - 4 +--R * +--R x 4 +--R sin(-) +--R 2 +--R + +--R x 28 x 26 x 24 x 22 x 20 +--R 30cos(-) + 48cos(-) - 90cos(-) - 48cos(-) - 274cos(-) +--R 2 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R - 2400cos(-) - 2794cos(-) + 672cos(-) - 854cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 1200cos(-) + 3778cos(-) + 528cos(-) + 202cos(-) + 2 +--R 2 2 2 2 +--R * +--R x 2 +--R sin(-) +--R 2 +--R + +--R x 30 x 28 x 26 x 24 x 22 +--R 2cos(-) + 4cos(-) - 10cos(-) + 24cos(-) + 122cos(-) +--R 2 2 2 2 2 +--R + +--R x 20 x 18 x 16 x 14 x 12 +--R - 36cos(-) - 274cos(-) - 80cos(-) + 166cos(-) + 156cos(-) +--R 2 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 x 2 +--R 34cos(-) - 72cos(-) - 34cos(-) + 4cos(-) - 6cos(-) +--R 2 2 2 2 2 +--R * +--R +---------+ +--R | 2 +--R sin(x)\|- cot(x) +--R + +--R 2 x 30 x 2 2 x 28 +--R 2cot(x) sin(-) + (30cos(-) - 4)cot(x) sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 2 x 26 +--R (210cos(-) - 72cos(-) - 10)cot(x) sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 2 x 24 +--R (910cos(-) - 540cos(-) - 18cos(-) + 24)cot(x) sin(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R (2730cos(-) - 2320cos(-) + 468cos(-) + 192cos(-) + 18) +--R 2 2 2 2 +--R * +--R 2 x 22 +--R cot(x) sin(-) +--R 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 6006cos(-) - 6468cos(-) + 3476cos(-) - 240cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 186cos(-) - 60 +--R 2 +--R * +--R 2 x 20 +--R cot(x) sin(-) +--R 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 10010cos(-) - 12408cos(-) + 12210cos(-) - 5376cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 258cos(-) - 72cos(-) - 10 +--R 2 2 +--R * +--R 2 x 18 +--R cot(x) sin(-) +--R 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 12870cos(-) - 16764cos(-) + 26730cos(-) - 19320cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 5178cos(-) + 1764cos(-) + 342cos(-) + 80 +--R 2 2 2 +--R * +--R 2 x 16 +--R cot(x) sin(-) +--R 2 +--R + +--R x 16 x 14 x 12 x 10 +--R 12870cos(-) - 15840cos(-) + 39864cos(-) - 34176cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R 23988cos(-) - 5856cos(-) - 1704cos(-) - 192cos(-) - 10 +--R 2 2 2 2 +--R * +--R 2 x 14 +--R cot(x) sin(-) +--R 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 10010cos(-) - 9900cos(-) + 41976cos(-) - 32928cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 48636cos(-) - 31608cos(-) + 4280cos(-) - 1536cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 198cos(-) - 60 +--R 2 +--R * +--R 2 x 12 +--R cot(x) sin(-) +--R 2 +--R + +--R x 20 x 18 x 16 x 14 +--R 6006cos(-) - 3256cos(-) + 31482cos(-) - 14592cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 55356cos(-) - 35376cos(-) + 31188cos(-) + 9024cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 1902cos(-) + 168cos(-) + 18 +--R 2 2 +--R * +--R 2 x 10 +--R cot(x) sin(-) +--R 2 +--R + +--R x 22 x 20 x 18 x 16 +--R 2730cos(-) + 396cos(-) + 16610cos(-) + 1704cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 36852cos(-) - 3096cos(-) + 43764cos(-) - 61920cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 5790cos(-) + 1452cos(-) + 42cos(-) + 24 +--R 2 2 2 +--R * +--R 2 x 8 +--R cot(x) sin(-) +--R 2 +--R + +--R x 24 x 22 x 20 x 18 +--R 910cos(-) + 1008cos(-) + 5940cos(-) + 4800cos(-) +--R 2 2 2 2 +--R + +--R x 16 x 14 x 12 x 10 +--R 13338cos(-) + 11808cos(-) + 20216cos(-) + 43968cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 +--R 42786cos(-) - 12432cos(-) - 1260cos(-) - 10 +--R 2 2 2 +--R * +--R 2 x 6 +--R cot(x) sin(-) +--R 2 +--R + +--R x 26 x 24 x 22 x 20 +--R 210cos(-) + 500cos(-) + 1332cos(-) + 1680cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 1758cos(-) + 2100cos(-) + 24cos(-) - 12160cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 11730cos(-) + 8796cos(-) + 8436cos(-) - 912cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 30cos(-) - 4 +--R 2 +--R * +--R 2 x 4 +--R cot(x) sin(-) +--R 2 +--R + +--R x 28 x 26 x 24 x 20 +--R 30cos(-) + 120cos(-) + 158cos(-) - 282cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R - 1224cos(-) - 1050cos(-) + 2496cos(-) + 2810cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 1944cos(-) - 2310cos(-) + 576cos(-) + 642cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 24cos(-) + 2 +--R 2 +--R * +--R 2 x 2 +--R cot(x) sin(-) +--R 2 +--R + +--R x 30 x 28 x 26 x 24 x 22 +--R 2cos(-) + 12cos(-) + 6cos(-) - 72cos(-) - 78cos(-) +--R 2 2 2 2 2 +--R + +--R x 20 x 18 x 16 x 14 +--R 180cos(-) + 230cos(-) - 240cos(-) - 330cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 180cos(-) + 258cos(-) - 72cos(-) - 106cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 12cos(-) + 18cos(-) +--R 2 2 +--R * +--R 2 +--R cot(x) +--R * +--R 2 +--R sin(x)tan(x) +--R + +--R 3 x 30 +--R (- 2cot(x) - 2cot(x))sin(-) +--R 2 +--R + +--R x 2 3 x 2 x 28 +--R ((- 30cos(-) + 4)cot(x) + (- 30cos(-) + 4)cot(x))sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 3 +--R (- 210cos(-) + 72cos(-) + 10)cot(x) +--R 2 2 +--R + +--R x 4 x 2 +--R (- 210cos(-) + 72cos(-) + 10)cot(x) +--R 2 2 +--R * +--R x 26 +--R sin(-) +--R 2 +--R + +--R x 6 x 4 x 2 3 +--R (- 910cos(-) + 540cos(-) + 18cos(-) - 24)cot(x) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R (- 910cos(-) + 540cos(-) + 18cos(-) - 24)cot(x) +--R 2 2 2 +--R * +--R x 24 +--R sin(-) +--R 2 +--R + +--R x 8 x 6 x 4 x 2 +--R - 2730cos(-) + 2320cos(-) - 468cos(-) - 192cos(-) +--R 2 2 2 2 +--R + +--R - 18 +--R * +--R 3 +--R cot(x) +--R + +--R x 8 x 6 x 4 x 2 +--R - 2730cos(-) + 2320cos(-) - 468cos(-) - 192cos(-) +--R 2 2 2 2 +--R + +--R - 18 +--R * +--R cot(x) +--R * +--R x 22 +--R sin(-) +--R 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 6006cos(-) + 6468cos(-) - 3476cos(-) + 240cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 186cos(-) + 60 +--R 2 +--R * +--R 3 +--R cot(x) +--R + +--R x 10 x 8 x 6 x 4 +--R - 6006cos(-) + 6468cos(-) - 3476cos(-) + 240cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 186cos(-) + 60 +--R 2 +--R * +--R cot(x) +--R * +--R x 20 +--R sin(-) +--R 2 +--R + +--R x 12 x 10 x 8 +--R - 10010cos(-) + 12408cos(-) - 12210cos(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 5376cos(-) + 258cos(-) + 72cos(-) + 10 +--R 2 2 2 +--R * +--R 3 +--R cot(x) +--R + +--R x 12 x 10 x 8 +--R - 10010cos(-) + 12408cos(-) - 12210cos(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 5376cos(-) + 258cos(-) + 72cos(-) + 10 +--R 2 2 2 +--R * +--R cot(x) +--R * +--R x 18 +--R sin(-) +--R 2 +--R + +--R x 14 x 12 x 10 +--R - 12870cos(-) + 16764cos(-) - 26730cos(-) +--R 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R 19320cos(-) - 5178cos(-) - 1764cos(-) - 342cos(-) - 80 +--R 2 2 2 2 +--R * +--R 3 +--R cot(x) +--R + +--R x 14 x 12 x 10 +--R - 12870cos(-) + 16764cos(-) - 26730cos(-) +--R 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R 19320cos(-) - 5178cos(-) - 1764cos(-) - 342cos(-) - 80 +--R 2 2 2 2 +--R * +--R cot(x) +--R * +--R x 16 +--R sin(-) +--R 2 +--R + +--R x 16 x 14 x 12 +--R - 12870cos(-) + 15840cos(-) - 39864cos(-) +--R 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 34176cos(-) - 23988cos(-) + 5856cos(-) + 1704cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 192cos(-) + 10 +--R 2 +--R * +--R 3 +--R cot(x) +--R + +--R x 16 x 14 x 12 +--R - 12870cos(-) + 15840cos(-) - 39864cos(-) +--R 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 34176cos(-) - 23988cos(-) + 5856cos(-) + 1704cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 192cos(-) + 10 +--R 2 +--R * +--R cot(x) +--R * +--R x 14 +--R sin(-) +--R 2 +--R + +--R x 18 x 16 x 14 +--R - 10010cos(-) + 9900cos(-) - 41976cos(-) +--R 2 2 2 +--R + +--R x 12 x 10 x 8 +--R 32928cos(-) - 48636cos(-) + 31608cos(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 4280cos(-) + 1536cos(-) + 198cos(-) + 60 +--R 2 2 2 +--R * +--R 3 +--R cot(x) +--R + +--R x 18 x 16 x 14 +--R - 10010cos(-) + 9900cos(-) - 41976cos(-) +--R 2 2 2 +--R + +--R x 12 x 10 x 8 +--R 32928cos(-) - 48636cos(-) + 31608cos(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 4280cos(-) + 1536cos(-) + 198cos(-) + 60 +--R 2 2 2 +--R * +--R cot(x) +--R * +--R x 12 +--R sin(-) +--R 2 +--R + +--R x 20 x 18 x 16 +--R - 6006cos(-) + 3256cos(-) - 31482cos(-) +--R 2 2 2 +--R + +--R x 14 x 12 x 10 +--R 14592cos(-) - 55356cos(-) + 35376cos(-) +--R 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R - 31188cos(-) - 9024cos(-) - 1902cos(-) - 168cos(-) +--R 2 2 2 2 +--R + +--R - 18 +--R * +--R 3 +--R cot(x) +--R + +--R x 20 x 18 x 16 +--R - 6006cos(-) + 3256cos(-) - 31482cos(-) +--R 2 2 2 +--R + +--R x 14 x 12 x 10 +--R 14592cos(-) - 55356cos(-) + 35376cos(-) +--R 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R - 31188cos(-) - 9024cos(-) - 1902cos(-) - 168cos(-) +--R 2 2 2 2 +--R + +--R - 18 +--R * +--R cot(x) +--R * +--R x 10 +--R sin(-) +--R 2 +--R + +--R x 22 x 20 x 18 +--R - 2730cos(-) - 396cos(-) - 16610cos(-) +--R 2 2 2 +--R + +--R x 16 x 14 x 12 +--R - 1704cos(-) - 36852cos(-) + 3096cos(-) +--R 2 2 2 +--R + +--R x 10 x 8 x 6 +--R - 43764cos(-) + 61920cos(-) + 5790cos(-) +--R 2 2 2 +--R + +--R x 4 x 2 +--R - 1452cos(-) - 42cos(-) - 24 +--R 2 2 +--R * +--R 3 +--R cot(x) +--R + +--R x 22 x 20 x 18 +--R - 2730cos(-) - 396cos(-) - 16610cos(-) +--R 2 2 2 +--R + +--R x 16 x 14 x 12 +--R - 1704cos(-) - 36852cos(-) + 3096cos(-) +--R 2 2 2 +--R + +--R x 10 x 8 x 6 +--R - 43764cos(-) + 61920cos(-) + 5790cos(-) +--R 2 2 2 +--R + +--R x 4 x 2 +--R - 1452cos(-) - 42cos(-) - 24 +--R 2 2 +--R * +--R cot(x) +--R * +--R x 8 +--R sin(-) +--R 2 +--R + +--R x 24 x 22 x 20 +--R - 910cos(-) - 1008cos(-) - 5940cos(-) +--R 2 2 2 +--R + +--R x 18 x 16 x 14 +--R - 4800cos(-) - 13338cos(-) - 11808cos(-) +--R 2 2 2 +--R + +--R x 12 x 10 x 8 +--R - 20216cos(-) - 43968cos(-) - 42786cos(-) +--R 2 2 2 +--R + +--R x 6 x 4 +--R 12432cos(-) + 1260cos(-) + 10 +--R 2 2 +--R * +--R 3 +--R cot(x) +--R + +--R x 24 x 22 x 20 +--R - 910cos(-) - 1008cos(-) - 5940cos(-) +--R 2 2 2 +--R + +--R x 18 x 16 x 14 +--R - 4800cos(-) - 13338cos(-) - 11808cos(-) +--R 2 2 2 +--R + +--R x 12 x 10 x 8 +--R - 20216cos(-) - 43968cos(-) - 42786cos(-) +--R 2 2 2 +--R + +--R x 6 x 4 +--R 12432cos(-) + 1260cos(-) + 10 +--R 2 2 +--R * +--R cot(x) +--R * +--R x 6 +--R sin(-) +--R 2 +--R + +--R x 26 x 24 x 22 x 20 +--R - 210cos(-) - 500cos(-) - 1332cos(-) - 1680cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 +--R - 1758cos(-) - 2100cos(-) - 24cos(-) +--R 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 12160cos(-) + 11730cos(-) - 8796cos(-) - 8436cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 912cos(-) + 30cos(-) + 4 +--R 2 2 +--R * +--R 3 +--R cot(x) +--R + +--R x 26 x 24 x 22 x 20 +--R - 210cos(-) - 500cos(-) - 1332cos(-) - 1680cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 +--R - 1758cos(-) - 2100cos(-) - 24cos(-) +--R 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 12160cos(-) + 11730cos(-) - 8796cos(-) - 8436cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 912cos(-) + 30cos(-) + 4 +--R 2 2 +--R * +--R cot(x) +--R * +--R x 4 +--R sin(-) +--R 2 +--R + +--R x 28 x 26 x 24 x 20 +--R - 30cos(-) - 120cos(-) - 158cos(-) + 282cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 1224cos(-) + 1050cos(-) - 2496cos(-) - 2810cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 1944cos(-) + 2310cos(-) - 576cos(-) - 642cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 24cos(-) - 2 +--R 2 +--R * +--R 3 +--R cot(x) +--R + +--R x 28 x 26 x 24 x 20 +--R - 30cos(-) - 120cos(-) - 158cos(-) + 282cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 1224cos(-) + 1050cos(-) - 2496cos(-) - 2810cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 1944cos(-) + 2310cos(-) - 576cos(-) - 642cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 24cos(-) - 2 +--R 2 +--R * +--R cot(x) +--R * +--R x 2 +--R sin(-) +--R 2 +--R + +--R x 30 x 28 x 26 x 24 +--R - 2cos(-) - 12cos(-) - 6cos(-) + 72cos(-) +--R 2 2 2 2 +--R + +--R x 22 x 20 x 18 x 16 +--R 78cos(-) - 180cos(-) - 230cos(-) + 240cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 330cos(-) - 180cos(-) - 258cos(-) + 72cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 106cos(-) - 12cos(-) - 18cos(-) +--R 2 2 2 +--R * +--R 3 +--R cot(x) +--R + +--R x 30 x 28 x 26 x 24 +--R - 2cos(-) - 12cos(-) - 6cos(-) + 72cos(-) +--R 2 2 2 2 +--R + +--R x 22 x 20 x 18 x 16 +--R 78cos(-) - 180cos(-) - 230cos(-) + 240cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 330cos(-) - 180cos(-) - 258cos(-) + 72cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 106cos(-) - 12cos(-) - 18cos(-) +--R 2 2 2 +--R * +--R cot(x) +--R * +--R sin(x)tan(x) +--R + +--R 2 x 30 x 2 2 x 28 +--R 2cot(x) sin(-) + (30cos(-) - 4)cot(x) sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 2 x 26 +--R (210cos(-) - 72cos(-) - 10)cot(x) sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 2 x 24 +--R (910cos(-) - 540cos(-) - 18cos(-) + 24)cot(x) sin(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R (2730cos(-) - 2320cos(-) + 468cos(-) + 192cos(-) + 18) +--R 2 2 2 2 +--R * +--R 2 x 22 +--R cot(x) sin(-) +--R 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 6006cos(-) - 6468cos(-) + 3476cos(-) - 240cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 186cos(-) - 60 +--R 2 +--R * +--R 2 x 20 +--R cot(x) sin(-) +--R 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 10010cos(-) - 12408cos(-) + 12210cos(-) - 5376cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 258cos(-) - 72cos(-) - 10 +--R 2 2 +--R * +--R 2 x 18 +--R cot(x) sin(-) +--R 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 12870cos(-) - 16764cos(-) + 26730cos(-) - 19320cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 5178cos(-) + 1764cos(-) + 342cos(-) + 80 +--R 2 2 2 +--R * +--R 2 x 16 +--R cot(x) sin(-) +--R 2 +--R + +--R x 16 x 14 x 12 x 10 +--R 12870cos(-) - 15840cos(-) + 39864cos(-) - 34176cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R 23988cos(-) - 5856cos(-) - 1704cos(-) - 192cos(-) - 10 +--R 2 2 2 2 +--R * +--R 2 x 14 +--R cot(x) sin(-) +--R 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 10010cos(-) - 9900cos(-) + 41976cos(-) - 32928cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 48636cos(-) - 31608cos(-) + 4280cos(-) - 1536cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 198cos(-) - 60 +--R 2 +--R * +--R 2 x 12 +--R cot(x) sin(-) +--R 2 +--R + +--R x 20 x 18 x 16 x 14 +--R 6006cos(-) - 3256cos(-) + 31482cos(-) - 14592cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 55356cos(-) - 35376cos(-) + 31188cos(-) + 9024cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 1902cos(-) + 168cos(-) + 18 +--R 2 2 +--R * +--R 2 x 10 +--R cot(x) sin(-) +--R 2 +--R + +--R x 22 x 20 x 18 x 16 +--R 2730cos(-) + 396cos(-) + 16610cos(-) + 1704cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 36852cos(-) - 3096cos(-) + 43764cos(-) - 61920cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 5790cos(-) + 1452cos(-) + 42cos(-) + 24 +--R 2 2 2 +--R * +--R 2 x 8 +--R cot(x) sin(-) +--R 2 +--R + +--R x 24 x 22 x 20 x 18 +--R 910cos(-) + 1008cos(-) + 5940cos(-) + 4800cos(-) +--R 2 2 2 2 +--R + +--R x 16 x 14 x 12 x 10 +--R 13338cos(-) + 11808cos(-) + 20216cos(-) + 43968cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 +--R 42786cos(-) - 12432cos(-) - 1260cos(-) - 10 +--R 2 2 2 +--R * +--R 2 x 6 +--R cot(x) sin(-) +--R 2 +--R + +--R x 26 x 24 x 22 x 20 +--R 210cos(-) + 500cos(-) + 1332cos(-) + 1680cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 1758cos(-) + 2100cos(-) + 24cos(-) - 12160cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 11730cos(-) + 8796cos(-) + 8436cos(-) - 912cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 30cos(-) - 4 +--R 2 +--R * +--R 2 x 4 +--R cot(x) sin(-) +--R 2 +--R + +--R x 28 x 26 x 24 x 20 +--R 30cos(-) + 120cos(-) + 158cos(-) - 282cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R - 1224cos(-) - 1050cos(-) + 2496cos(-) + 2810cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 1944cos(-) - 2310cos(-) + 576cos(-) + 642cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 24cos(-) + 2 +--R 2 +--R * +--R 2 x 2 +--R cot(x) sin(-) +--R 2 +--R + +--R x 30 x 28 x 26 x 24 x 22 +--R 2cos(-) + 12cos(-) + 6cos(-) - 72cos(-) - 78cos(-) +--R 2 2 2 2 2 +--R + +--R x 20 x 18 x 16 x 14 +--R 180cos(-) + 230cos(-) - 240cos(-) - 330cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 180cos(-) + 258cos(-) - 72cos(-) - 106cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 12cos(-) + 18cos(-) +--R 2 2 +--R * +--R 2 +--R cot(x) +--R * +--R sin(x) +--R * +--R log(sin(x)) +--R + +--R 4 x 30 x 2 4 x 28 +--R cot(x) sin(-) + (15cos(-) - 2)cot(x) sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 4 x 26 +--R (105cos(-) - 36cos(-) - 5)cot(x) sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 4 x 24 +--R (455cos(-) - 270cos(-) - 9cos(-) + 12)cot(x) sin(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 4 +--R (1365cos(-) - 1160cos(-) + 234cos(-) + 96cos(-) + 9)cot(x) +--R 2 2 2 2 +--R * +--R x 22 +--R sin(-) +--R 2 +--R + +--R x 10 x 8 x 6 x 4 x 2 +--R 3003cos(-) - 3234cos(-) + 1738cos(-) - 120cos(-) - 93cos(-) +--R 2 2 2 2 2 +--R + +--R - 30 +--R * +--R 4 x 20 +--R cot(x) sin(-) +--R 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 5005cos(-) - 6204cos(-) + 6105cos(-) - 2688cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 129cos(-) - 36cos(-) - 5 +--R 2 2 +--R * +--R 4 x 18 +--R cot(x) sin(-) +--R 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 6435cos(-) - 8382cos(-) + 13365cos(-) - 9660cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 2589cos(-) + 882cos(-) + 171cos(-) + 40 +--R 2 2 2 +--R * +--R 4 x 16 +--R cot(x) sin(-) +--R 2 +--R + +--R x 16 x 14 x 12 x 10 +--R 6435cos(-) - 7920cos(-) + 19932cos(-) - 17088cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R 11994cos(-) - 2928cos(-) - 852cos(-) - 96cos(-) - 5 +--R 2 2 2 2 +--R * +--R 4 x 14 +--R cot(x) sin(-) +--R 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 5005cos(-) - 4950cos(-) + 20988cos(-) - 16464cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 24318cos(-) - 15804cos(-) + 2140cos(-) - 768cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 99cos(-) - 30 +--R 2 +--R * +--R 4 x 12 +--R cot(x) sin(-) +--R 2 +--R + +--R x 20 x 18 x 16 x 14 +--R 3003cos(-) - 1628cos(-) + 15741cos(-) - 7296cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 27678cos(-) - 17688cos(-) + 15594cos(-) + 4512cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 951cos(-) + 84cos(-) + 9 +--R 2 2 +--R * +--R 4 x 10 +--R cot(x) sin(-) +--R 2 +--R + +--R x 22 x 20 x 18 x 16 +--R 1365cos(-) + 198cos(-) + 8305cos(-) + 852cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 18426cos(-) - 1548cos(-) + 21882cos(-) - 30960cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 2895cos(-) + 726cos(-) + 21cos(-) + 12 +--R 2 2 2 +--R * +--R 4 x 8 +--R cot(x) sin(-) +--R 2 +--R + +--R x 24 x 22 x 20 x 18 +--R 455cos(-) + 504cos(-) + 2970cos(-) + 2400cos(-) +--R 2 2 2 2 +--R + +--R x 16 x 14 x 12 x 10 +--R 6669cos(-) + 5904cos(-) + 10108cos(-) + 21984cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 +--R 21393cos(-) - 6216cos(-) - 630cos(-) - 5 +--R 2 2 2 +--R * +--R 4 x 6 +--R cot(x) sin(-) +--R 2 +--R + +--R x 26 x 24 x 22 x 20 +--R 105cos(-) + 250cos(-) + 666cos(-) + 840cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 879cos(-) + 1050cos(-) + 12cos(-) - 6080cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 5865cos(-) + 4398cos(-) + 4218cos(-) - 456cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 15cos(-) - 2 +--R 2 +--R * +--R 4 x 4 +--R cot(x) sin(-) +--R 2 +--R + +--R x 28 x 26 x 24 x 20 x 18 +--R 15cos(-) + 60cos(-) + 79cos(-) - 141cos(-) - 612cos(-) +--R 2 2 2 2 2 +--R + +--R x 16 x 14 x 12 x 10 +--R - 525cos(-) + 1248cos(-) + 1405cos(-) - 972cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R - 1155cos(-) + 288cos(-) + 321cos(-) - 12cos(-) + 1 +--R 2 2 2 2 +--R * +--R 4 x 2 +--R cot(x) sin(-) +--R 2 +--R + +--R x 30 x 28 x 26 x 24 x 22 +--R cos(-) + 6cos(-) + 3cos(-) - 36cos(-) - 39cos(-) +--R 2 2 2 2 2 +--R + +--R x 20 x 18 x 16 x 14 x 12 +--R 90cos(-) + 115cos(-) - 120cos(-) - 165cos(-) + 90cos(-) +--R 2 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 x 2 +--R 129cos(-) - 36cos(-) - 53cos(-) + 6cos(-) + 9cos(-) +--R 2 2 2 2 2 +--R * +--R 4 +--R cot(x) +--R * +--R 2 +--R sin(x)tan(x) +--R + +--R 5 3 x 30 +--R (- 3cot(x) - 3cot(x) )sin(-) +--R 2 +--R + +--R x 2 5 x 2 3 x 28 +--R ((- 45cos(-) + 6)cot(x) + (- 45cos(-) + 6)cot(x) )sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 5 +--R (- 315cos(-) + 108cos(-) + 15)cot(x) +--R 2 2 +--R + +--R x 4 x 2 3 +--R (- 315cos(-) + 108cos(-) + 15)cot(x) +--R 2 2 +--R * +--R x 26 +--R sin(-) +--R 2 +--R + +--R x 6 x 4 x 2 5 +--R (- 1365cos(-) + 810cos(-) + 27cos(-) - 36)cot(x) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 3 +--R (- 1365cos(-) + 810cos(-) + 27cos(-) - 36)cot(x) +--R 2 2 2 +--R * +--R x 24 +--R sin(-) +--R 2 +--R + +--R x 8 x 6 x 4 x 2 +--R - 4095cos(-) + 3480cos(-) - 702cos(-) - 288cos(-) +--R 2 2 2 2 +--R + +--R - 27 +--R * +--R 5 +--R cot(x) +--R + +--R x 8 x 6 x 4 x 2 +--R - 4095cos(-) + 3480cos(-) - 702cos(-) - 288cos(-) +--R 2 2 2 2 +--R + +--R - 27 +--R * +--R 3 +--R cot(x) +--R * +--R x 22 +--R sin(-) +--R 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 9009cos(-) + 9702cos(-) - 5214cos(-) + 360cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 279cos(-) + 90 +--R 2 +--R * +--R 5 +--R cot(x) +--R + +--R x 10 x 8 x 6 x 4 +--R - 9009cos(-) + 9702cos(-) - 5214cos(-) + 360cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 279cos(-) + 90 +--R 2 +--R * +--R 3 +--R cot(x) +--R * +--R x 20 +--R sin(-) +--R 2 +--R + +--R x 12 x 10 x 8 +--R - 15015cos(-) + 18612cos(-) - 18315cos(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 8064cos(-) + 387cos(-) + 108cos(-) + 15 +--R 2 2 2 +--R * +--R 5 +--R cot(x) +--R + +--R x 12 x 10 x 8 +--R - 15015cos(-) + 18612cos(-) - 18315cos(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 8064cos(-) + 387cos(-) + 108cos(-) + 15 +--R 2 2 2 +--R * +--R 3 +--R cot(x) +--R * +--R x 18 +--R sin(-) +--R 2 +--R + +--R x 14 x 12 x 10 +--R - 19305cos(-) + 25146cos(-) - 40095cos(-) +--R 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R 28980cos(-) - 7767cos(-) - 2646cos(-) - 513cos(-) - 120 +--R 2 2 2 2 +--R * +--R 5 +--R cot(x) +--R + +--R x 14 x 12 x 10 +--R - 19305cos(-) + 25146cos(-) - 40095cos(-) +--R 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R 28980cos(-) - 7767cos(-) - 2646cos(-) - 513cos(-) - 120 +--R 2 2 2 2 +--R * +--R 3 +--R cot(x) +--R * +--R x 16 +--R sin(-) +--R 2 +--R + +--R x 16 x 14 x 12 +--R - 19305cos(-) + 23760cos(-) - 59796cos(-) +--R 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 51264cos(-) - 35982cos(-) + 8784cos(-) + 2556cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 288cos(-) + 15 +--R 2 +--R * +--R 5 +--R cot(x) +--R + +--R x 16 x 14 x 12 +--R - 19305cos(-) + 23760cos(-) - 59796cos(-) +--R 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 51264cos(-) - 35982cos(-) + 8784cos(-) + 2556cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 288cos(-) + 15 +--R 2 +--R * +--R 3 +--R cot(x) +--R * +--R x 14 +--R sin(-) +--R 2 +--R + +--R x 18 x 16 x 14 +--R - 15015cos(-) + 14850cos(-) - 62964cos(-) +--R 2 2 2 +--R + +--R x 12 x 10 x 8 +--R 49392cos(-) - 72954cos(-) + 47412cos(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 6420cos(-) + 2304cos(-) + 297cos(-) + 90 +--R 2 2 2 +--R * +--R 5 +--R cot(x) +--R + +--R x 18 x 16 x 14 +--R - 15015cos(-) + 14850cos(-) - 62964cos(-) +--R 2 2 2 +--R + +--R x 12 x 10 x 8 +--R 49392cos(-) - 72954cos(-) + 47412cos(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 6420cos(-) + 2304cos(-) + 297cos(-) + 90 +--R 2 2 2 +--R * +--R 3 +--R cot(x) +--R * +--R x 12 +--R sin(-) +--R 2 +--R + +--R x 20 x 18 x 16 +--R - 9009cos(-) + 4884cos(-) - 47223cos(-) +--R 2 2 2 +--R + +--R x 14 x 12 x 10 +--R 21888cos(-) - 83034cos(-) + 53064cos(-) +--R 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R - 46782cos(-) - 13536cos(-) - 2853cos(-) - 252cos(-) +--R 2 2 2 2 +--R + +--R - 27 +--R * +--R 5 +--R cot(x) +--R + +--R x 20 x 18 x 16 +--R - 9009cos(-) + 4884cos(-) - 47223cos(-) +--R 2 2 2 +--R + +--R x 14 x 12 x 10 +--R 21888cos(-) - 83034cos(-) + 53064cos(-) +--R 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R - 46782cos(-) - 13536cos(-) - 2853cos(-) - 252cos(-) +--R 2 2 2 2 +--R + +--R - 27 +--R * +--R 3 +--R cot(x) +--R * +--R x 10 +--R sin(-) +--R 2 +--R + +--R x 22 x 20 x 18 +--R - 4095cos(-) - 594cos(-) - 24915cos(-) +--R 2 2 2 +--R + +--R x 16 x 14 x 12 +--R - 2556cos(-) - 55278cos(-) + 4644cos(-) +--R 2 2 2 +--R + +--R x 10 x 8 x 6 +--R - 65646cos(-) + 92880cos(-) + 8685cos(-) +--R 2 2 2 +--R + +--R x 4 x 2 +--R - 2178cos(-) - 63cos(-) - 36 +--R 2 2 +--R * +--R 5 +--R cot(x) +--R + +--R x 22 x 20 x 18 +--R - 4095cos(-) - 594cos(-) - 24915cos(-) +--R 2 2 2 +--R + +--R x 16 x 14 x 12 +--R - 2556cos(-) - 55278cos(-) + 4644cos(-) +--R 2 2 2 +--R + +--R x 10 x 8 x 6 +--R - 65646cos(-) + 92880cos(-) + 8685cos(-) +--R 2 2 2 +--R + +--R x 4 x 2 +--R - 2178cos(-) - 63cos(-) - 36 +--R 2 2 +--R * +--R 3 +--R cot(x) +--R * +--R x 8 +--R sin(-) +--R 2 +--R + +--R x 24 x 22 x 20 +--R - 1365cos(-) - 1512cos(-) - 8910cos(-) +--R 2 2 2 +--R + +--R x 18 x 16 x 14 +--R - 7200cos(-) - 20007cos(-) - 17712cos(-) +--R 2 2 2 +--R + +--R x 12 x 10 x 8 +--R - 30324cos(-) - 65952cos(-) - 64179cos(-) +--R 2 2 2 +--R + +--R x 6 x 4 +--R 18648cos(-) + 1890cos(-) + 15 +--R 2 2 +--R * +--R 5 +--R cot(x) +--R + +--R x 24 x 22 x 20 +--R - 1365cos(-) - 1512cos(-) - 8910cos(-) +--R 2 2 2 +--R + +--R x 18 x 16 x 14 +--R - 7200cos(-) - 20007cos(-) - 17712cos(-) +--R 2 2 2 +--R + +--R x 12 x 10 x 8 +--R - 30324cos(-) - 65952cos(-) - 64179cos(-) +--R 2 2 2 +--R + +--R x 6 x 4 +--R 18648cos(-) + 1890cos(-) + 15 +--R 2 2 +--R * +--R 3 +--R cot(x) +--R * +--R x 6 +--R sin(-) +--R 2 +--R + +--R x 26 x 24 x 22 x 20 +--R - 315cos(-) - 750cos(-) - 1998cos(-) - 2520cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 +--R - 2637cos(-) - 3150cos(-) - 36cos(-) +--R 2 2 2 +--R + +--R x 12 x 10 x 8 +--R 18240cos(-) + 17595cos(-) - 13194cos(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 12654cos(-) + 1368cos(-) + 45cos(-) + 6 +--R 2 2 2 +--R * +--R 5 +--R cot(x) +--R + +--R x 26 x 24 x 22 x 20 +--R - 315cos(-) - 750cos(-) - 1998cos(-) - 2520cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 +--R - 2637cos(-) - 3150cos(-) - 36cos(-) +--R 2 2 2 +--R + +--R x 12 x 10 x 8 +--R 18240cos(-) + 17595cos(-) - 13194cos(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 12654cos(-) + 1368cos(-) + 45cos(-) + 6 +--R 2 2 2 +--R * +--R 3 +--R cot(x) +--R * +--R x 4 +--R sin(-) +--R 2 +--R + +--R x 28 x 26 x 24 x 20 +--R - 45cos(-) - 180cos(-) - 237cos(-) + 423cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 1836cos(-) + 1575cos(-) - 3744cos(-) - 4215cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 2916cos(-) + 3465cos(-) - 864cos(-) - 963cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 36cos(-) - 3 +--R 2 +--R * +--R 5 +--R cot(x) +--R + +--R x 28 x 26 x 24 x 20 +--R - 45cos(-) - 180cos(-) - 237cos(-) + 423cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 1836cos(-) + 1575cos(-) - 3744cos(-) - 4215cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 2916cos(-) + 3465cos(-) - 864cos(-) - 963cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R 36cos(-) - 3 +--R 2 +--R * +--R 3 +--R cot(x) +--R * +--R x 2 +--R sin(-) +--R 2 +--R + +--R x 30 x 28 x 26 x 24 +--R - 3cos(-) - 18cos(-) - 9cos(-) + 108cos(-) +--R 2 2 2 2 +--R + +--R x 22 x 20 x 18 x 16 +--R 117cos(-) - 270cos(-) - 345cos(-) + 360cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 495cos(-) - 270cos(-) - 387cos(-) + 108cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 159cos(-) - 18cos(-) - 27cos(-) +--R 2 2 2 +--R * +--R 5 +--R cot(x) +--R + +--R x 30 x 28 x 26 x 24 +--R - 3cos(-) - 18cos(-) - 9cos(-) + 108cos(-) +--R 2 2 2 2 +--R + +--R x 22 x 20 x 18 x 16 +--R 117cos(-) - 270cos(-) - 345cos(-) + 360cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 495cos(-) - 270cos(-) - 387cos(-) + 108cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 159cos(-) - 18cos(-) - 27cos(-) +--R 2 2 2 +--R * +--R 3 +--R cot(x) +--R * +--R sin(x) +--R + +--R 2 x 30 x 2 2 x 28 +--R 2cos(x)cot(x) sin(-) + (30cos(-) - 4)cos(x)cot(x) sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 2 x 26 +--R (210cos(-) - 72cos(-) - 10)cos(x)cot(x) sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 2 x 24 +--R (910cos(-) - 540cos(-) - 18cos(-) + 24)cos(x)cot(x) sin(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R (2730cos(-) - 2320cos(-) + 468cos(-) + 192cos(-) + 18)cos(x) +--R 2 2 2 2 +--R * +--R 2 x 22 +--R cot(x) sin(-) +--R 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 6006cos(-) - 6468cos(-) + 3476cos(-) - 240cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 186cos(-) - 60 +--R 2 +--R * +--R 2 x 20 +--R cos(x)cot(x) sin(-) +--R 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 10010cos(-) - 12408cos(-) + 12210cos(-) - 5376cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 258cos(-) - 72cos(-) - 10 +--R 2 2 +--R * +--R 2 x 18 +--R cos(x)cot(x) sin(-) +--R 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 12870cos(-) - 16764cos(-) + 26730cos(-) - 19320cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 5178cos(-) + 1764cos(-) + 342cos(-) + 80 +--R 2 2 2 +--R * +--R 2 x 16 +--R cos(x)cot(x) sin(-) +--R 2 +--R + +--R x 16 x 14 x 12 x 10 +--R 12870cos(-) - 15840cos(-) + 39864cos(-) - 34176cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R 23988cos(-) - 5856cos(-) - 1704cos(-) - 192cos(-) - 10 +--R 2 2 2 2 +--R * +--R 2 x 14 +--R cos(x)cot(x) sin(-) +--R 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 10010cos(-) - 9900cos(-) + 41976cos(-) - 32928cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 48636cos(-) - 31608cos(-) + 4280cos(-) - 1536cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 198cos(-) - 60 +--R 2 +--R * +--R 2 x 12 +--R cos(x)cot(x) sin(-) +--R 2 +--R + +--R x 20 x 18 x 16 x 14 +--R 6006cos(-) - 3256cos(-) + 31482cos(-) - 14592cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 55356cos(-) - 35376cos(-) + 31188cos(-) + 9024cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 1902cos(-) + 168cos(-) + 18 +--R 2 2 +--R * +--R 2 x 10 +--R cos(x)cot(x) sin(-) +--R 2 +--R + +--R x 22 x 20 x 18 x 16 +--R 2730cos(-) + 396cos(-) + 16610cos(-) + 1704cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 36852cos(-) - 3096cos(-) + 43764cos(-) - 61920cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 5790cos(-) + 1452cos(-) + 42cos(-) + 24 +--R 2 2 2 +--R * +--R 2 x 8 +--R cos(x)cot(x) sin(-) +--R 2 +--R + +--R x 24 x 22 x 20 x 18 +--R 910cos(-) + 1008cos(-) + 5940cos(-) + 4800cos(-) +--R 2 2 2 2 +--R + +--R x 16 x 14 x 12 x 10 +--R 13338cos(-) + 11808cos(-) + 20216cos(-) + 43968cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 +--R 42786cos(-) - 12432cos(-) - 1260cos(-) - 10 +--R 2 2 2 +--R * +--R 2 x 6 +--R cos(x)cot(x) sin(-) +--R 2 +--R + +--R x 26 x 24 x 22 x 20 +--R 210cos(-) + 500cos(-) + 1332cos(-) + 1680cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 1758cos(-) + 2100cos(-) + 24cos(-) - 12160cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 11730cos(-) + 8796cos(-) + 8436cos(-) - 912cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 30cos(-) - 4 +--R 2 +--R * +--R 2 x 4 +--R cos(x)cot(x) sin(-) +--R 2 +--R + +--R x 28 x 26 x 24 x 20 +--R 30cos(-) + 120cos(-) + 158cos(-) - 282cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R - 1224cos(-) - 1050cos(-) + 2496cos(-) + 2810cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 1944cos(-) - 2310cos(-) + 576cos(-) + 642cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 24cos(-) + 2 +--R 2 +--R * +--R 2 x 2 +--R cos(x)cot(x) sin(-) +--R 2 +--R + +--R x 30 x 28 x 26 x 24 x 22 +--R 2cos(-) + 12cos(-) + 6cos(-) - 72cos(-) - 78cos(-) +--R 2 2 2 2 2 +--R + +--R x 20 x 18 x 16 x 14 +--R 180cos(-) + 230cos(-) - 240cos(-) - 330cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 x 4 +--R 180cos(-) + 258cos(-) - 72cos(-) - 106cos(-) + 12cos(-) +--R 2 2 2 2 2 +--R + +--R x 2 +--R 18cos(-) +--R 2 +--R * +--R 2 +--R cos(x)cot(x) +--R * +--R tan(x) +--R + +--R 4 x 30 x 2 4 x 28 +--R cot(x) sin(-) + (15cos(-) - 2)cot(x) sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 4 x 26 +--R (105cos(-) - 36cos(-) - 5)cot(x) sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 4 x 24 +--R (455cos(-) - 270cos(-) - 9cos(-) + 12)cot(x) sin(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 4 +--R (1365cos(-) - 1160cos(-) + 234cos(-) + 96cos(-) + 9)cot(x) +--R 2 2 2 2 +--R * +--R x 22 +--R sin(-) +--R 2 +--R + +--R x 10 x 8 x 6 x 4 x 2 +--R 3003cos(-) - 3234cos(-) + 1738cos(-) - 120cos(-) - 93cos(-) +--R 2 2 2 2 2 +--R + +--R - 30 +--R * +--R 4 x 20 +--R cot(x) sin(-) +--R 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 5005cos(-) - 6204cos(-) + 6105cos(-) - 2688cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 129cos(-) - 36cos(-) - 5 +--R 2 2 +--R * +--R 4 x 18 +--R cot(x) sin(-) +--R 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 6435cos(-) - 8382cos(-) + 13365cos(-) - 9660cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 2589cos(-) + 882cos(-) + 171cos(-) + 40 +--R 2 2 2 +--R * +--R 4 x 16 +--R cot(x) sin(-) +--R 2 +--R + +--R x 16 x 14 x 12 x 10 +--R 6435cos(-) - 7920cos(-) + 19932cos(-) - 17088cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R 11994cos(-) - 2928cos(-) - 852cos(-) - 96cos(-) - 5 +--R 2 2 2 2 +--R * +--R 4 x 14 +--R cot(x) sin(-) +--R 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 5005cos(-) - 4950cos(-) + 20988cos(-) - 16464cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 24318cos(-) - 15804cos(-) + 2140cos(-) - 768cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 99cos(-) - 30 +--R 2 +--R * +--R 4 x 12 +--R cot(x) sin(-) +--R 2 +--R + +--R x 20 x 18 x 16 x 14 +--R 3003cos(-) - 1628cos(-) + 15741cos(-) - 7296cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 27678cos(-) - 17688cos(-) + 15594cos(-) + 4512cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 951cos(-) + 84cos(-) + 9 +--R 2 2 +--R * +--R 4 x 10 +--R cot(x) sin(-) +--R 2 +--R + +--R x 22 x 20 x 18 x 16 +--R 1365cos(-) + 198cos(-) + 8305cos(-) + 852cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 18426cos(-) - 1548cos(-) + 21882cos(-) - 30960cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 2895cos(-) + 726cos(-) + 21cos(-) + 12 +--R 2 2 2 +--R * +--R 4 x 8 +--R cot(x) sin(-) +--R 2 +--R + +--R x 24 x 22 x 20 x 18 +--R 455cos(-) + 504cos(-) + 2970cos(-) + 2400cos(-) +--R 2 2 2 2 +--R + +--R x 16 x 14 x 12 x 10 +--R 6669cos(-) + 5904cos(-) + 10108cos(-) + 21984cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 +--R 21393cos(-) - 6216cos(-) - 630cos(-) - 5 +--R 2 2 2 +--R * +--R 4 x 6 +--R cot(x) sin(-) +--R 2 +--R + +--R x 26 x 24 x 22 x 20 +--R 105cos(-) + 250cos(-) + 666cos(-) + 840cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 879cos(-) + 1050cos(-) + 12cos(-) - 6080cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 5865cos(-) + 4398cos(-) + 4218cos(-) - 456cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 15cos(-) - 2 +--R 2 +--R * +--R 4 x 4 +--R cot(x) sin(-) +--R 2 +--R + +--R x 28 x 26 x 24 x 20 x 18 +--R 15cos(-) + 60cos(-) + 79cos(-) - 141cos(-) - 612cos(-) +--R 2 2 2 2 2 +--R + +--R x 16 x 14 x 12 x 10 +--R - 525cos(-) + 1248cos(-) + 1405cos(-) - 972cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R - 1155cos(-) + 288cos(-) + 321cos(-) - 12cos(-) + 1 +--R 2 2 2 2 +--R * +--R 4 x 2 +--R cot(x) sin(-) +--R 2 +--R + +--R x 30 x 28 x 26 x 24 x 22 +--R cos(-) + 6cos(-) + 3cos(-) - 36cos(-) - 39cos(-) +--R 2 2 2 2 2 +--R + +--R x 20 x 18 x 16 x 14 x 12 +--R 90cos(-) + 115cos(-) - 120cos(-) - 165cos(-) + 90cos(-) +--R 2 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 x 2 +--R 129cos(-) - 36cos(-) - 53cos(-) + 6cos(-) + 9cos(-) +--R 2 2 2 2 2 +--R * +--R 4 +--R cot(x) +--R * +--R sin(x) +--R / +--R x 30 x 2 x 28 +--R 2sin(-) + (30cos(-) - 4)sin(-) +--R 2 2 2 +--R + +--R x 4 x 2 x 26 +--R (210cos(-) - 72cos(-) - 10)sin(-) +--R 2 2 2 +--R + +--R x 6 x 4 x 2 x 24 +--R (910cos(-) - 540cos(-) - 18cos(-) + 24)sin(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 x 22 +--R (2730cos(-) - 2320cos(-) + 468cos(-) + 192cos(-) + 18)sin(-) +--R 2 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 x 2 +--R 6006cos(-) - 6468cos(-) + 3476cos(-) - 240cos(-) - 186cos(-) +--R 2 2 2 2 2 +--R + +--R - 60 +--R * +--R x 20 +--R sin(-) +--R 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 10010cos(-) - 12408cos(-) + 12210cos(-) - 5376cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R - 258cos(-) - 72cos(-) - 10 +--R 2 2 +--R * +--R x 18 +--R sin(-) +--R 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 12870cos(-) - 16764cos(-) + 26730cos(-) - 19320cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R 5178cos(-) + 1764cos(-) + 342cos(-) + 80 +--R 2 2 2 +--R * +--R x 16 +--R sin(-) +--R 2 +--R + +--R x 16 x 14 x 12 x 10 +--R 12870cos(-) - 15840cos(-) + 39864cos(-) - 34176cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R 23988cos(-) - 5856cos(-) - 1704cos(-) - 192cos(-) - 10 +--R 2 2 2 2 +--R * +--R x 14 +--R sin(-) +--R 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 10010cos(-) - 9900cos(-) + 41976cos(-) - 32928cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R 48636cos(-) - 31608cos(-) + 4280cos(-) - 1536cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 198cos(-) - 60 +--R 2 +--R * +--R x 12 +--R sin(-) +--R 2 +--R + +--R x 20 x 18 x 16 x 14 +--R 6006cos(-) - 3256cos(-) + 31482cos(-) - 14592cos(-) +--R 2 2 2 2 +--R + +--R x 12 x 10 x 8 x 6 +--R 55356cos(-) - 35376cos(-) + 31188cos(-) + 9024cos(-) +--R 2 2 2 2 +--R + +--R x 4 x 2 +--R 1902cos(-) + 168cos(-) + 18 +--R 2 2 +--R * +--R x 10 +--R sin(-) +--R 2 +--R + +--R x 22 x 20 x 18 x 16 +--R 2730cos(-) + 396cos(-) + 16610cos(-) + 1704cos(-) +--R 2 2 2 2 +--R + +--R x 14 x 12 x 10 x 8 +--R 36852cos(-) - 3096cos(-) + 43764cos(-) - 61920cos(-) +--R 2 2 2 2 +--R + +--R x 6 x 4 x 2 +--R - 5790cos(-) + 1452cos(-) + 42cos(-) + 24 +--R 2 2 2 +--R * +--R x 8 +--R sin(-) +--R 2 +--R + +--R x 24 x 22 x 20 x 18 +--R 910cos(-) + 1008cos(-) + 5940cos(-) + 4800cos(-) +--R 2 2 2 2 +--R + +--R x 16 x 14 x 12 x 10 +--R 13338cos(-) + 11808cos(-) + 20216cos(-) + 43968cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 +--R 42786cos(-) - 12432cos(-) - 1260cos(-) - 10 +--R 2 2 2 +--R * +--R x 6 +--R sin(-) +--R 2 +--R + +--R x 26 x 24 x 22 x 20 +--R 210cos(-) + 500cos(-) + 1332cos(-) + 1680cos(-) +--R 2 2 2 2 +--R + +--R x 18 x 16 x 14 x 12 +--R 1758cos(-) + 2100cos(-) + 24cos(-) - 12160cos(-) +--R 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 +--R - 11730cos(-) + 8796cos(-) + 8436cos(-) - 912cos(-) +--R 2 2 2 2 +--R + +--R x 2 +--R - 30cos(-) - 4 +--R 2 +--R * +--R x 4 +--R sin(-) +--R 2 +--R + +--R x 28 x 26 x 24 x 20 x 18 +--R 30cos(-) + 120cos(-) + 158cos(-) - 282cos(-) - 1224cos(-) +--R 2 2 2 2 2 +--R + +--R x 16 x 14 x 12 x 10 +--R - 1050cos(-) + 2496cos(-) + 2810cos(-) - 1944cos(-) +--R 2 2 2 2 +--R + +--R x 8 x 6 x 4 x 2 +--R - 2310cos(-) + 576cos(-) + 642cos(-) - 24cos(-) + 2 +--R 2 2 2 2 +--R * +--R x 2 +--R sin(-) +--R 2 +--R + +--R x 30 x 28 x 26 x 24 x 22 +--R 2cos(-) + 12cos(-) + 6cos(-) - 72cos(-) - 78cos(-) +--R 2 2 2 2 2 +--R + +--R x 20 x 18 x 16 x 14 x 12 +--R 180cos(-) + 230cos(-) - 240cos(-) - 330cos(-) + 180cos(-) +--R 2 2 2 2 2 +--R + +--R x 10 x 8 x 6 x 4 x 2 +--R 258cos(-) - 72cos(-) - 106cos(-) + 12cos(-) + 18cos(-) +--R 2 2 2 2 2 +--R * +--R +---------+ +--R | 2 +--R sin(x)\|- cot(x) +--R Type: Expression Integer +--E 501 + +--S 502 of 528 +t0395:= (-1+csc(x)^2)^(3/2) +--R +--R +--R +-----------+ +--R 2 | 2 +--R (463) (csc(x) - 1)\|csc(x) - 1 +--R Type: Expression Integer +--E 502 + +--S 503 of 528 +r0395:= -1/2*(cot(x)^2)^(1/2)*(cot(x)^2+2*log(sin(x)))*tan(x) +--R +--R +--R +-------+ +--R 2 | 2 +--R (- 2tan(x)log(sin(x)) - cot(x) tan(x))\|cot(x) +--R (464) ------------------------------------------------ +--R 2 +--R Type: Expression Integer +--E 503 + +--S 504 of 528 +a0395:= integrate(t0395,x) +--R +--R +--R (465) +--R 2 sin(x) 2 2 2 +--R (4cos(x) - 4)log(----------) + (- 4cos(x) + 4)log(----------) - cos(x) - 1 +--R cos(x) + 1 cos(x) + 1 +--R ----------------------------------------------------------------------------- +--R 2 +--R 4cos(x) - 4 +--R Type: Union(Expression Integer,...) +--E 504 + +--S 505 of 528 +m0395:= a0395-r0395 +--R +--R +--R (466) +--R +-------+ +--R 2 2 2 | 2 +--R ((4cos(x) - 4)tan(x)log(sin(x)) + (2cos(x) - 2)cot(x) tan(x))\|cot(x) +--R + +--R 2 sin(x) 2 2 2 +--R (4cos(x) - 4)log(----------) + (- 4cos(x) + 4)log(----------) - cos(x) +--R cos(x) + 1 cos(x) + 1 +--R + +--R - 1 +--R / +--R 2 +--R 4cos(x) - 4 +--R Type: Expression Integer +--E 505 + +--S 506 of 528 +d0395:= D(m0395,x) +--R +--R +--R (467) +--R +-------+ +--R 2 5 3 | 2 +--R (- 2cos(x)sin(x) + 2cos(x) - 4cos(x) + 2cos(x))\|cot(x) +--R + +--R 4 2 2 2 +--R (2cos(x) - 4cos(x) + 2)cot(x) sin(x)tan(x) +--R + +--R 4 2 3 +--R (- 2cos(x) + 4cos(x) - 2)cot(x) +--R + +--R 4 2 +--R (- 2cos(x) + 4cos(x) - 2)cot(x) +--R * +--R sin(x)tan(x) +--R + +--R 4 2 2 +--R (2cos(x) - 4cos(x) + 2)cot(x) sin(x) +--R * +--R log(sin(x)) +--R + +--R 4 2 4 2 +--R (cos(x) - 2cos(x) + 1)cot(x) sin(x)tan(x) +--R + +--R 4 2 5 +--R (- 3cos(x) + 6cos(x) - 3)cot(x) +--R + +--R 4 2 3 +--R (- 3cos(x) + 6cos(x) - 3)cot(x) +--R * +--R sin(x) +--R + +--R 5 3 2 +--R (2cos(x) - 4cos(x) + 2cos(x))cot(x) +--R * +--R tan(x) +--R + +--R 4 2 4 +--R (cos(x) - 2cos(x) + 1)cot(x) sin(x) +--R / +--R +-------+ +--R 4 2 | 2 +--R (2cos(x) - 4cos(x) + 2)sin(x)\|cot(x) +--R Type: Expression Integer +--E 506 + +--S 507 of 528 +t0396:= (-1-csc(x)^2)^(3/2) +--R +--R +--R +-------------+ +--R 2 | 2 +--R (468) (- csc(x) - 1)\|- csc(x) - 1 +--R Type: Expression Integer +--E 507 + +--S 508 of 528 +r0396:= 2*atan((-2-cot(x)^2)^(1/2)*tan(x))-atanh(cot(x)/(-2-cot(x)^2)^(1/2))+1/2*cot(x)*(-2-cot(x)^2)^(1/2) +--R +--R +--R (469) +--R +-------------+ +--R cot(x) | 2 +--R - 2atanh(----------------) + 4atan(tan(x)\|- cot(x) - 2 ) +--R +-------------+ +--R | 2 +--R \|- cot(x) - 2 +--R + +--R +-------------+ +--R | 2 +--R cot(x)\|- cot(x) - 2 +--R / +--R 2 +--R Type: Expression Integer +--E 508 + +--S 509 of 528 +a0396:= integrate(t0396,x) +--R +--R +--R (470) +--R +---+ 6 +---+ 4 +---+ 2 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R 4\|- 1 (%e ) - 20\|- 1 (%e ) + 28\|- 1 (%e ) +--R + +--R +---+ +--R - 12\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R - 4\|- 1 (%e ) + 32\|- 1 (%e ) - 72\|- 1 (%e ) +--R + +--R +---+ 2 +--R +---+ x\|- 1 +---+ +--R 64\|- 1 (%e ) - 20\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +---+ +--R log(\|(%e ) - 6(%e ) + 1 - (%e ) + 2\|- 1 + 1) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R (- (%e ) + 5(%e ) - 7(%e ) + 3) +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R (%e ) - 8(%e ) + 18(%e ) - 16(%e ) + 5 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +--R log(\|(%e ) - 6(%e ) + 1 - (%e ) + 1) +--R + +--R +---+ 6 +---+ 4 +--R +---+ x\|- 1 +---+ x\|- 1 +--R - 4\|- 1 (%e ) + 20\|- 1 (%e ) +--R + +--R +---+ 2 +--R +---+ x\|- 1 +---+ +--R - 28\|- 1 (%e ) + 12\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R 4\|- 1 (%e ) - 32\|- 1 (%e ) + 72\|- 1 (%e ) +--R + +--R +---+ 2 +--R +---+ x\|- 1 +---+ +--R - 64\|- 1 (%e ) + 20\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +---+ +--R log(\|(%e ) - 6(%e ) + 1 - (%e ) - 2\|- 1 + 1) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R ((%e ) - 5(%e ) + 7(%e ) - 3) +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R - (%e ) + 8(%e ) - 18(%e ) + 16(%e ) - 5 +--R * +--R log +--R +--------------------------------+ +--R +---+ 2 | +---+ 4 +---+ 2 +--R x\|- 1 | x\|- 1 x\|- 1 +--R (- 2(%e ) + 2)\|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R 2(%e ) - 8(%e ) - 2 +--R + +--R +--------------------------------+ +--R +---+ 2 | +---+ 4 +---+ 2 +---+ 4 +--R x\|- 1 | x\|- 1 x\|- 1 x\|- 1 +--R (- 8(%e ) + 8)\|(%e ) - 6(%e ) + 1 + 8(%e ) +--R + +--R +---+ 2 +--R x\|- 1 +--R - 32(%e ) + 8 +--R / +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R (2(%e ) - 10(%e ) + 14(%e ) - 6) +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R - 2(%e ) + 16(%e ) - 36(%e ) + 32(%e ) - 10 +--R Type: Union(Expression Integer,...) +--E 509 + +--S 510 of 528 +m0396:= a0396-r0396 +--R +--R +--R (471) +--R +---+ 6 +---+ 4 +---+ 2 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R 4\|- 1 (%e ) - 20\|- 1 (%e ) + 28\|- 1 (%e ) +--R + +--R +---+ +--R - 12\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R - 4\|- 1 (%e ) + 32\|- 1 (%e ) - 72\|- 1 (%e ) +--R + +--R +---+ 2 +--R +---+ x\|- 1 +---+ +--R 64\|- 1 (%e ) - 20\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +---+ +--R log(\|(%e ) - 6(%e ) + 1 - (%e ) + 2\|- 1 + 1) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R (- (%e ) + 5(%e ) - 7(%e ) + 3) +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R (%e ) - 8(%e ) + 18(%e ) - 16(%e ) + 5 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +--R log(\|(%e ) - 6(%e ) + 1 - (%e ) + 1) +--R + +--R +---+ 6 +---+ 4 +--R +---+ x\|- 1 +---+ x\|- 1 +--R - 4\|- 1 (%e ) + 20\|- 1 (%e ) +--R + +--R +---+ 2 +--R +---+ x\|- 1 +---+ +--R - 28\|- 1 (%e ) + 12\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R 4\|- 1 (%e ) - 32\|- 1 (%e ) + 72\|- 1 (%e ) +--R + +--R +---+ 2 +--R +---+ x\|- 1 +---+ +--R - 64\|- 1 (%e ) + 20\|- 1 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +---+ 2 +--R | x\|- 1 x\|- 1 x\|- 1 +---+ +--R log(\|(%e ) - 6(%e ) + 1 - (%e ) - 2\|- 1 + 1) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R ((%e ) - 5(%e ) + 7(%e ) - 3) +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R - (%e ) + 8(%e ) - 18(%e ) + 16(%e ) - 5 +--R * +--R log +--R +--------------------------------+ +--R +---+ 2 | +---+ 4 +---+ 2 +--R x\|- 1 | x\|- 1 x\|- 1 +--R (- 2(%e ) + 2)\|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R 2(%e ) - 8(%e ) - 2 +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R (2(%e ) - 10(%e ) + 14(%e ) - 6) +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R - 2(%e ) + 16(%e ) - 36(%e ) + 32(%e ) - 10 +--R * +--R cot(x) +--R atanh(----------------) +--R +-------------+ +--R | 2 +--R \|- cot(x) - 2 +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R (- 4(%e ) + 20(%e ) - 28(%e ) + 12) +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R 4(%e ) - 32(%e ) + 72(%e ) - 64(%e ) + 20 +--R * +--R +-------------+ +--R | 2 +--R atan(tan(x)\|- cot(x) - 2 ) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R - cot(x)(%e ) + 5cot(x)(%e ) - 7cot(x)(%e ) +--R + +--R 3cot(x) +--R * +--R +-------------+ +--R | 2 +--R \|- cot(x) - 2 +--R + +--R +---+ 2 +--R x\|- 1 +--R - 8(%e ) + 8 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +--R x\|- 1 x\|- 1 x\|- 1 +--R cot(x)(%e ) - 8cot(x)(%e ) + 18cot(x)(%e ) +--R + +--R +---+ 2 +--R x\|- 1 +--R - 16cot(x)(%e ) + 5cot(x) +--R * +--R +-------------+ +--R | 2 +--R \|- cot(x) - 2 +--R + +--R +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 +--R 8(%e ) - 32(%e ) + 8 +--R / +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R (2(%e ) - 10(%e ) + 14(%e ) - 6) +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 8 +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 x\|- 1 +--R - 2(%e ) + 16(%e ) - 36(%e ) + 32(%e ) - 10 +--R Type: Expression Integer +--E 510 + +--S 511 of 528 +d0396:= D(m0396,x) +--R +--R +--R (472) +--R +---+ 18 +--R +---+ 2 +---+ x\|- 1 +--R (\|- 1 cot(x) + 2\|- 1 )(%e ) +--R + +--R +---+ 16 +--R +---+ 2 +---+ x\|- 1 +--R (- 27\|- 1 cot(x) - 54\|- 1 )(%e ) +--R + +--R +---+ 14 +--R +---+ 2 +---+ x\|- 1 +--R (302\|- 1 cot(x) + 604\|- 1 )(%e ) +--R + +--R +---+ 12 +--R +---+ 2 +---+ x\|- 1 +--R (- 1806\|- 1 cot(x) - 3612\|- 1 )(%e ) +--R + +--R +---+ 10 +--R +---+ 2 +---+ x\|- 1 +--R (6216\|- 1 cot(x) + 12432\|- 1 )(%e ) +--R + +--R +---+ 8 +--R +---+ 2 +---+ x\|- 1 +--R (- 12348\|- 1 cot(x) - 24696\|- 1 )(%e ) +--R + +--R +---+ 6 +--R +---+ 2 +---+ x\|- 1 +--R (13482\|- 1 cot(x) + 26964\|- 1 )(%e ) +--R + +--R +---+ 4 +--R +---+ 2 +---+ x\|- 1 +--R (- 7290\|- 1 cot(x) - 14580\|- 1 )(%e ) +--R + +--R +---+ 2 +--R +---+ 2 +---+ x\|- 1 +--R (1663\|- 1 cot(x) + 3326\|- 1 )(%e ) +--R + +--R +---+ 2 +---+ +--R - 129\|- 1 cot(x) - 258\|- 1 +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 18 +---+ 16 +--R +---+ x\|- 1 +---+ x\|- 1 +--R - \|- 1 (%e ) + 27\|- 1 (%e ) +--R + +--R +---+ 14 +---+ 12 +--R +---+ x\|- 1 +---+ x\|- 1 +--R - 302\|- 1 (%e ) + 1806\|- 1 (%e ) +--R + +--R +---+ 10 +---+ 8 +--R +---+ x\|- 1 +---+ x\|- 1 +--R - 6216\|- 1 (%e ) + 12348\|- 1 (%e ) +--R + +--R +---+ 6 +---+ 4 +--R +---+ x\|- 1 +---+ x\|- 1 +--R - 13482\|- 1 (%e ) + 7290\|- 1 (%e ) +--R + +--R +---+ 2 +--R +---+ x\|- 1 +---+ +--R - 1663\|- 1 (%e ) + 129\|- 1 +--R * +--R +-------------+ +--R | 2 +--R \|- cot(x) - 2 +--R + +--R +---+ 18 +--R 6 4 2 x\|- 1 +--R (- cot(x) - 4cot(x) - 8cot(x) - 8)(%e ) +--R + +--R +---+ 16 +--R 6 4 2 x\|- 1 +--R (21cot(x) + 84cot(x) + 168cot(x) + 168)(%e ) +--R + +--R +---+ 14 +--R 6 4 2 x\|- 1 +--R (- 182cot(x) - 728cot(x) - 1456cot(x) - 1456)(%e ) +--R + +--R +---+ 12 +--R 6 4 2 x\|- 1 +--R (850cot(x) + 3400cot(x) + 6800cot(x) + 6800)(%e ) +--R + +--R +---+ 10 +--R 6 4 2 x\|- 1 +--R (- 2352cot(x) - 9408cot(x) - 18816cot(x) - 18816)(%e ) +--R + +--R +---+ 8 +--R 6 4 2 x\|- 1 +--R (4004cot(x) + 16016cot(x) + 32032cot(x) + 32032)(%e ) +--R + +--R +---+ 6 +--R 6 4 2 x\|- 1 +--R (- 4210cot(x) - 16840cot(x) - 33680cot(x) - 33680)(%e ) +--R + +--R +---+ 4 +--R 6 4 2 x\|- 1 +--R (2646cot(x) + 10584cot(x) + 21168cot(x) + 21168)(%e ) +--R + +--R +---+ 2 +--R 6 4 2 x\|- 1 +--R (- 903cot(x) - 3612cot(x) - 7224cot(x) - 7224)(%e ) +--R + +--R 6 4 2 +--R 127cot(x) + 508cot(x) + 1016cot(x) + 1016 +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 18 +--R 3 x\|- 1 +--R (2cot(x) + 2cot(x))(%e ) +--R + +--R +---+ 16 +--R 3 x\|- 1 +--R (- 42cot(x) - 42cot(x))(%e ) +--R + +--R +---+ 14 +--R 3 x\|- 1 +--R (364cot(x) + 364cot(x))(%e ) +--R + +--R +---+ 12 +--R 3 x\|- 1 +--R (- 1700cot(x) - 1700cot(x))(%e ) +--R + +--R +---+ 10 +--R 3 x\|- 1 +--R (4704cot(x) + 4704cot(x))(%e ) +--R + +--R +---+ 8 +--R 3 x\|- 1 +--R (- 8008cot(x) - 8008cot(x))(%e ) +--R + +--R +---+ 6 +--R 3 x\|- 1 +--R (8420cot(x) + 8420cot(x))(%e ) +--R + +--R +---+ 4 +--R 3 x\|- 1 +--R (- 5292cot(x) - 5292cot(x))(%e ) +--R + +--R +---+ 2 +--R 3 x\|- 1 3 +--R (1806cot(x) + 1806cot(x))(%e ) - 254cot(x) - 254cot(x) +--R * +--R tan(x) +--R + +--R +---+ 18 +---+ 16 +--R 4 x\|- 1 4 x\|- 1 +--R (cot(x) - 2)(%e ) + (- 21cot(x) + 42)(%e ) +--R + +--R +---+ 14 +---+ 12 +--R 4 x\|- 1 4 x\|- 1 +--R (182cot(x) - 364)(%e ) + (- 850cot(x) + 1700)(%e ) +--R + +--R +---+ 10 +--R 4 x\|- 1 +--R (2352cot(x) - 4704)(%e ) +--R + +--R +---+ 8 +---+ 6 +--R 4 x\|- 1 4 x\|- 1 +--R (- 4004cot(x) + 8008)(%e ) + (4210cot(x) - 8420)(%e ) +--R + +--R +---+ 4 +---+ 2 +--R 4 x\|- 1 4 x\|- 1 +--R (- 2646cot(x) + 5292)(%e ) + (903cot(x) - 1806)(%e ) +--R + +--R 4 +--R - 127cot(x) + 254 +--R * +--R +--------------------------------+ +--R | +---+ 4 +---+ 2 +--R | x\|- 1 x\|- 1 +--R \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 20 +--R +---+ 2 +---+ x\|- 1 +--R (- \|- 1 cot(x) - 2\|- 1 )(%e ) +--R + +--R +---+ 18 +--R +---+ 2 +---+ x\|- 1 +--R (30\|- 1 cot(x) + 60\|- 1 )(%e ) +--R + +--R +---+ 16 +--R +---+ 2 +---+ x\|- 1 +--R (- 379\|- 1 cot(x) - 758\|- 1 )(%e ) +--R + +--R +---+ 14 +--R +---+ 2 +---+ x\|- 1 +--R (2616\|- 1 cot(x) + 5232\|- 1 )(%e ) +--R + +--R +---+ 12 +--R +---+ 2 +---+ x\|- 1 +--R (- 10706\|- 1 cot(x) - 21412\|- 1 )(%e ) +--R + +--R +---+ 10 +--R +---+ 2 +---+ x\|- 1 +--R (26388\|- 1 cot(x) + 52776\|- 1 )(%e ) +--R + +--R +---+ 8 +--R +---+ 2 +---+ x\|- 1 +--R (- 38118\|- 1 cot(x) - 76236\|- 1 )(%e ) +--R + +--R +---+ 6 +--R +---+ 2 +---+ x\|- 1 +--R (30168\|- 1 cot(x) + 60336\|- 1 )(%e ) +--R + +--R +---+ 4 +--R +---+ 2 +---+ x\|- 1 +--R (- 11789\|- 1 cot(x) - 23578\|- 1 )(%e ) +--R + +--R +---+ 2 +--R +---+ 2 +---+ x\|- 1 +---+ 2 +--R (2046\|- 1 cot(x) + 4092\|- 1 )(%e ) - 127\|- 1 cot(x) +--R + +--R +---+ +--R - 254\|- 1 +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 20 +---+ 18 +---+ 16 +--R +---+ x\|- 1 +---+ x\|- 1 +---+ x\|- 1 +--R \|- 1 (%e ) - 30\|- 1 (%e ) + 379\|- 1 (%e ) +--R + +--R +---+ 14 +---+ 12 +--R +---+ x\|- 1 +---+ x\|- 1 +--R - 2616\|- 1 (%e ) + 10706\|- 1 (%e ) +--R + +--R +---+ 10 +---+ 8 +--R +---+ x\|- 1 +---+ x\|- 1 +--R - 26388\|- 1 (%e ) + 38118\|- 1 (%e ) +--R + +--R +---+ 6 +---+ 4 +--R +---+ x\|- 1 +---+ x\|- 1 +--R - 30168\|- 1 (%e ) + 11789\|- 1 (%e ) +--R + +--R +---+ 2 +--R +---+ x\|- 1 +---+ +--R - 2046\|- 1 (%e ) + 127\|- 1 +--R * +--R +-------------+ +--R | 2 +--R \|- cot(x) - 2 +--R + +--R +---+ 20 +--R 6 4 2 x\|- 1 +--R (cot(x) + 4cot(x) + 8cot(x) + 8)(%e ) +--R + +--R +---+ 18 +--R 6 4 2 x\|- 1 +--R (- 24cot(x) - 96cot(x) - 192cot(x) - 192)(%e ) +--R + +--R +---+ 16 +--R 6 4 2 x\|- 1 +--R (241cot(x) + 964cot(x) + 1928cot(x) + 1928)(%e ) +--R + +--R +---+ 14 +--R 6 4 2 x\|- 1 +--R (- 1324cot(x) - 5296cot(x) - 10592cot(x) - 10592)(%e ) +--R + +--R +---+ 12 +--R 6 4 2 x\|- 1 +--R (4382cot(x) + 17528cot(x) + 35056cot(x) + 35056)(%e ) +--R + +--R +---+ 10 +--R 6 4 2 x\|- 1 +--R (- 9100cot(x) - 36400cot(x) - 72800cot(x) - 72800)(%e ) +--R + +--R +---+ 8 +--R 6 4 2 x\|- 1 +--R (11998cot(x) + 47992cot(x) + 95984cot(x) + 95984)(%e ) +--R + +--R +---+ 6 +--R 6 4 2 x\|- 1 +--R (- 9908cot(x) - 39632cot(x) - 79264cot(x) - 79264)(%e ) +--R + +--R +---+ 4 +--R 6 4 2 x\|- 1 +--R (4881cot(x) + 19524cot(x) + 39048cot(x) + 39048)(%e ) +--R + +--R +---+ 2 +--R 6 4 2 x\|- 1 +--R (- 1276cot(x) - 5104cot(x) - 10208cot(x) - 10208)(%e ) +--R + +--R 6 4 2 +--R 129cot(x) + 516cot(x) + 1032cot(x) + 1032 +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 20 +--R 3 x\|- 1 +--R (- 2cot(x) - 2cot(x))(%e ) +--R + +--R +---+ 18 +--R 3 x\|- 1 +--R (48cot(x) + 48cot(x))(%e ) +--R + +--R +---+ 16 +--R 3 x\|- 1 +--R (- 482cot(x) - 482cot(x))(%e ) +--R + +--R +---+ 14 +--R 3 x\|- 1 +--R (2648cot(x) + 2648cot(x))(%e ) +--R + +--R +---+ 12 +--R 3 x\|- 1 +--R (- 8764cot(x) - 8764cot(x))(%e ) +--R + +--R +---+ 10 +--R 3 x\|- 1 +--R (18200cot(x) + 18200cot(x))(%e ) +--R + +--R +---+ 8 +--R 3 x\|- 1 +--R (- 23996cot(x) - 23996cot(x))(%e ) +--R + +--R +---+ 6 +--R 3 x\|- 1 +--R (19816cot(x) + 19816cot(x))(%e ) +--R + +--R +---+ 4 +--R 3 x\|- 1 +--R (- 9762cot(x) - 9762cot(x))(%e ) +--R + +--R +---+ 2 +--R 3 x\|- 1 3 +--R (2552cot(x) + 2552cot(x))(%e ) - 258cot(x) - 258cot(x) +--R * +--R tan(x) +--R + +--R +---+ 20 +---+ 18 +--R 4 x\|- 1 4 x\|- 1 +--R (- cot(x) + 2)(%e ) + (24cot(x) - 48)(%e ) +--R + +--R +---+ 16 +---+ 14 +--R 4 x\|- 1 4 x\|- 1 +--R (- 241cot(x) + 482)(%e ) + (1324cot(x) - 2648)(%e ) +--R + +--R +---+ 12 +---+ 10 +--R 4 x\|- 1 4 x\|- 1 +--R (- 4382cot(x) + 8764)(%e ) + (9100cot(x) - 18200)(%e ) +--R + +--R +---+ 8 +---+ 6 +--R 4 x\|- 1 4 x\|- 1 +--R (- 11998cot(x) + 23996)(%e ) + (9908cot(x) - 19816)(%e ) +--R + +--R +---+ 4 +---+ 2 +--R 4 x\|- 1 4 x\|- 1 +--R (- 4881cot(x) + 9762)(%e ) + (1276cot(x) - 2552)(%e ) +--R + +--R 4 +--R - 129cot(x) + 258 +--R / +--R +---+ 18 +---+ 16 +--R 2 x\|- 1 2 x\|- 1 +--R (cot(x) + 2)(%e ) + (- 21cot(x) - 42)(%e ) +--R + +--R +---+ 14 +--R 2 x\|- 1 +--R (182cot(x) + 364)(%e ) +--R + +--R +---+ 12 +--R 2 x\|- 1 +--R (- 850cot(x) - 1700)(%e ) +--R + +--R +---+ 10 +--R 2 x\|- 1 +--R (2352cot(x) + 4704)(%e ) +--R + +--R +---+ 8 +--R 2 x\|- 1 +--R (- 4004cot(x) - 8008)(%e ) +--R + +--R +---+ 6 +--R 2 x\|- 1 +--R (4210cot(x) + 8420)(%e ) +--R + +--R +---+ 4 +--R 2 x\|- 1 +--R (- 2646cot(x) - 5292)(%e ) +--R + +--R +---+ 2 +--R 2 x\|- 1 2 +--R (903cot(x) + 1806)(%e ) - 127cot(x) - 254 +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 18 +---+ 16 +---+ 14 +--R x\|- 1 x\|- 1 x\|- 1 +--R - (%e ) + 21(%e ) - 182(%e ) +--R + +--R +---+ 12 +---+ 10 +---+ 8 +--R x\|- 1 x\|- 1 x\|- 1 +--R 850(%e ) - 2352(%e ) + 4004(%e ) +--R + +--R +---+ 6 +---+ 4 +---+ 2 +--R x\|- 1 x\|- 1 x\|- 1 +--R - 4210(%e ) + 2646(%e ) - 903(%e ) + 127 +--R * +--R +--------------------------------+ +--R +-------------+ | +---+ 4 +---+ 2 +--R | 2 | x\|- 1 x\|- 1 +--R \|- cot(x) - 2 \|(%e ) - 6(%e ) + 1 +--R + +--R +---+ 20 +---+ 18 +--R 2 x\|- 1 2 x\|- 1 +--R (- cot(x) - 2)(%e ) + (24cot(x) + 48)(%e ) +--R + +--R +---+ 16 +--R 2 x\|- 1 +--R (- 241cot(x) - 482)(%e ) +--R + +--R +---+ 14 +--R 2 x\|- 1 +--R (1324cot(x) + 2648)(%e ) +--R + +--R +---+ 12 +--R 2 x\|- 1 +--R (- 4382cot(x) - 8764)(%e ) +--R + +--R +---+ 10 +--R 2 x\|- 1 +--R (9100cot(x) + 18200)(%e ) +--R + +--R +---+ 8 +--R 2 x\|- 1 +--R (- 11998cot(x) - 23996)(%e ) +--R + +--R +---+ 6 +--R 2 x\|- 1 +--R (9908cot(x) + 19816)(%e ) +--R + +--R +---+ 4 +--R 2 x\|- 1 +--R (- 4881cot(x) - 9762)(%e ) +--R + +--R +---+ 2 +--R 2 x\|- 1 2 +--R (1276cot(x) + 2552)(%e ) - 129cot(x) - 258 +--R * +--R 2 +--R tan(x) +--R + +--R +---+ 20 +---+ 18 +---+ 16 +--R x\|- 1 x\|- 1 x\|- 1 +--R (%e ) - 24(%e ) + 241(%e ) +--R + +--R +---+ 14 +---+ 12 +---+ 10 +--R x\|- 1 x\|- 1 x\|- 1 +--R - 1324(%e ) + 4382(%e ) - 9100(%e ) +--R + +--R +---+ 8 +---+ 6 +---+ 4 +--R x\|- 1 x\|- 1 x\|- 1 +--R 11998(%e ) - 9908(%e ) + 4881(%e ) +--R + +--R +---+ 2 +--R x\|- 1 +--R - 1276(%e ) + 129 +--R * +--R +-------------+ +--R | 2 +--R \|- cot(x) - 2 +--R Type: Expression Integer +--E 511 + +--S 512 of 528 +t0397:= (a+b*csc(x)^2)^(3/2) +--R +--R +--R +-------------+ +--R 2 | 2 +--R (473) (b csc(x) + a)\|b csc(x) + a +--R Type: Expression Integer +--E 512 + +--S 513 of 528 +r0397:= -a^(3/2)*atan(a^(1/2)*cot(x)/(a+b*csc(x)^2)^(1/2))-3/2*a*b^(1/2)*atanh((a+b*csc(x)^2)^(1/2)*tan(x)/b^(1/2))-1/2*b^(3/2)*atanh((a+b*csc(x)^2)^(1/2)*tan(x)/b^(1/2))-1/2*b*cot(x)*(a+b*csc(x)^2)^(1/2) +--R +--R +--R (474) +--R +-------------+ +--R | 2 +--R +-+ tan(x)\|b csc(x) + a +--R (- b - 3a)\|b atanh(----------------------) +--R +-+ +--R \|b +--R + +--R +-+ +-------------+ +--R +-+ cot(x)\|a | 2 +--R - 2a\|a atan(----------------) - b cot(x)\|b csc(x) + a +--R +-------------+ +--R | 2 +--R \|b csc(x) + a +--R / +--R 2 +--R Type: Expression Integer +--E 513 + +--S 514 of 528 +a0397:= integrate(t0397,x) +--R +--R +--R (475) +--R [ +--R 2 5 2 4 +--R (4a b + 12a )cos(x) + (4a b + 12a )cos(x) +--R + +--R 2 2 3 2 2 2 +--R (- 2b - 14a b - 24a )cos(x) + (- 2b - 14a b - 24a )cos(x) +--R + +--R 2 2 2 2 +--R (2b + 10a b + 12a )cos(x) + 2b + 10a b + 12a +--R * +--R +----------------------+ +--R | 2 +--R +-+ +-+ |- 4a cos(x) + 4b + 4a +--R sin(x)\|a \|b |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 3 6 2 2 3 4 +--R (8a b + 24a )cos(x) + (- 8a b - 48a b - 72a )cos(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (b + 19a b + 72a b + 72a )cos(x) - b - 11a b - 32a b - 24a +--R * +--R +-+ +--R \|b +--R * +--R log +--R 4 10 4 9 +--R 128a cos(x) + 128a cos(x) +--R + +--R 3 4 8 3 4 7 +--R (- 256a b - 512a )cos(x) + (- 256a b - 512a )cos(x) +--R + +--R 2 2 3 4 6 +--R (160a b + 768a b + 768a )cos(x) +--R + +--R 2 2 3 4 5 +--R (160a b + 768a b + 768a )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (- 32a b - 320a b - 768a b - 512a )cos(x) +--R + +--R 3 2 2 3 4 3 +--R (- 32a b - 320a b - 768a b - 512a )cos(x) +--R + +--R 4 3 2 2 3 4 2 +--R (b + 32a b + 160a b + 256a b + 128a )cos(x) +--R + +--R 4 3 2 2 3 4 +--R (b + 32a b + 160a b + 256a b + 128a )cos(x) +--R * +--R +-+ +--R \|b +--R + +--R 3 4 9 3 4 8 +--R (- 64a b + 64a )cos(x) + (- 64a b + 64a )cos(x) +--R + +--R 2 2 3 4 7 +--R (96a b + 32a b - 256a )cos(x) +--R + +--R 2 2 3 4 6 +--R (96a b + 32a b - 256a )cos(x) +--R + +--R 3 2 2 3 4 5 +--R (- 40a b - 56a b + 288a b + 384a )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (- 40a b - 56a b + 288a b + 384a )cos(x) +--R + +--R 4 3 2 2 3 4 3 +--R (4b - 4a b - 176a b - 416a b - 256a )cos(x) +--R + +--R 4 3 2 2 3 4 2 +--R (4b - 4a b - 176a b - 416a b - 256a )cos(x) +--R + +--R 4 3 2 2 3 4 4 +--R (4b + 44a b + 136a b + 160a b + 64a )cos(x) + 4b +--R + +--R 3 2 2 3 4 +--R 44a b + 136a b + 160a b + 64a +--R * +--R +-+ +--R sin(x)\|a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 4 9 3 4 7 +--R - 256a cos(x) + (640a b + 1024a )cos(x) +--R + +--R 2 2 3 4 5 +--R (- 544a b - 1920a b - 1536a )cos(x) +--R + +--R 3 2 2 3 4 3 +--R (176a b + 1088a b + 1920a b + 1024a )cos(x) +--R + +--R 4 3 2 2 3 4 +--R (- 16b - 176a b - 544a b - 640a b - 256a )cos(x) +--R * +--R +-+ +-+ +--R sin(x)\|a \|b +--R + +--R 4 5 10 3 2 4 5 8 +--R (- 128a b + 128a )cos(x) + (256a b + 128a b - 640a )cos(x) +--R + +--R 2 3 3 2 4 5 6 +--R (- 160a b - 352a b + 768a b + 1280a )cos(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (32a b + 128a b - 480a b - 1792a b - 1280a )cos(x) +--R + +--R 5 4 2 3 3 2 4 5 2 +--R (- b + a b + 224a b + 992a b + 1408a b + 640a )cos(x) +--R + +--R 5 4 2 3 3 2 4 5 +--R - b - 33a b - 192a b - 416a b - 384a b - 128a +--R / +--R 3 9 3 8 2 3 7 +--R 64a cos(x) + 64a cos(x) + (- 96a b - 256a )cos(x) +--R + +--R 2 3 6 +--R (- 96a b - 256a )cos(x) +--R + +--R 2 2 3 5 +--R (40a b + 288a b + 384a )cos(x) +--R + +--R 2 2 3 4 +--R (40a b + 288a b + 384a )cos(x) +--R + +--R 3 2 2 3 3 +--R (- 4b - 80a b - 288a b - 256a )cos(x) +--R + +--R 3 2 2 3 2 +--R (- 4b - 80a b - 288a b - 256a )cos(x) +--R + +--R 3 2 2 3 3 2 2 +--R (4b + 40a b + 96a b + 64a )cos(x) + 4b + 40a b + 96a b +--R + +--R 3 +--R 64a +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R sin(x)\|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 4 10 3 4 8 +--R 128a cos(x) + (- 256a b - 640a )cos(x) +--R + +--R 2 2 3 4 6 +--R (160a b + 1024a b + 1280a )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (- 32a b - 480a b - 1536a b - 1280a )cos(x) +--R + +--R 4 3 2 2 3 4 2 4 3 +--R (b + 64a b + 480a b + 1024a b + 640a )cos(x) - b - 32a b +--R + +--R 2 2 3 4 +--R - 160a b - 256a b - 128a +--R + +--R 3 5 3 4 2 3 3 +--R 8a cos(x) + 8a cos(x) + (- 4a b - 16a )cos(x) +--R + +--R 2 3 2 2 3 2 3 +--R (- 4a b - 16a )cos(x) + (4a b + 8a )cos(x) + 4a b + 8a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R sin(x) |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 3 6 2 3 4 +--R 16a cos(x) + (- 16a b - 48a )cos(x) +--R + +--R 2 2 3 2 2 2 3 +--R (2a b + 32a b + 48a )cos(x) - 2a b - 16a b - 16a +--R * +--R +-+ +--R \|a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a 2 +-+ +--R (cos(x) + 1)sin(x) |---------------------- + (2cos(x) - 2)\|a +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R atan(----------------------------------------------------------------) +--R +----------------------+ +--R | 2 +--R 2 |- 4a cos(x) + 4b + 4a +-+ +--R (cos(x) + cos(x)) |---------------------- - 2cos(x)sin(x)\|a +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 3 5 3 4 2 3 3 +--R 8a cos(x) + 8a cos(x) + (- 4a b - 16a )cos(x) +--R + +--R 2 3 2 2 3 2 3 +--R (- 4a b - 16a )cos(x) + (4a b + 8a )cos(x) + 4a b + 8a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R sin(x) |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 3 6 2 3 4 +--R 16a cos(x) + (- 16a b - 48a )cos(x) +--R + +--R 2 2 3 2 2 2 3 +--R (2a b + 32a b + 48a )cos(x) - 2a b - 16a b - 16a +--R * +--R +-+ +--R \|a +--R * +--R atan +--R 4 3 2 +--R 4a cos(x) + 4a cos(x) + (- b - 3a)cos(x) +--R + +--R (- b - 3a)cos(x) +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R \|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 3 2 +--R (- 8a cos(x) + (6a b + 6a )cos(x))sin(x) +--R / +--R 3 2 +--R (4a cos(x) + 4a cos(x) + (- b - a)cos(x) - b - a)sin(x) +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R \|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 4 2 2 2 +--R 8a cos(x) + (- 6a b - 10a )cos(x) + 2a b + 2a +--R + +--R 2 6 2 5 2 2 4 +--R 8a b cos(x) + 8a b cos(x) + (- 8a b - 16a b)cos(x) +--R + +--R 2 2 3 3 2 2 2 +--R (- 8a b - 16a b)cos(x) + (b + 8a b + 8a b)cos(x) +--R + +--R 3 2 2 +--R (b + 8a b + 8a b)cos(x) +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 5 2 2 3 +--R - 16a b cos(x) + (24a b + 32a b)cos(x) +--R + +--R 3 2 2 +--R (- 8b - 24a b - 16a b)cos(x) +--R * +--R +-+ +--R sin(x)\|a +--R / +--R 5 4 3 +--R 16a cos(x) + 16a cos(x) + (- 8b - 32a)cos(x) +--R + +--R 2 +--R (- 8b - 32a)cos(x) + (8b + 16a)cos(x) + 8b + 16a +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R sin(x)\|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 6 2 4 2 2 2 +--R 32a cos(x) + (- 32a b - 96a )cos(x) + (4b + 64a b + 96a )cos(x) +--R + +--R 2 2 +--R - 4b - 32a b - 32a +--R , +--R +--R 3 5 3 4 2 3 3 +--R 8a cos(x) + 8a cos(x) + (- 4a b - 16a )cos(x) +--R + +--R 2 3 2 2 3 2 3 +--R (- 4a b - 16a )cos(x) + (4a b + 8a )cos(x) + 4a b + 8a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R sin(x) |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 3 6 2 3 4 +--R 16a cos(x) + (- 16a b - 48a )cos(x) +--R + +--R 2 2 3 2 2 2 3 +--R (2a b + 32a b + 48a )cos(x) - 2a b - 16a b - 16a +--R * +--R +-+ +--R \|a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a 2 +-+ +--R (cos(x) + 1)sin(x) |---------------------- + (2cos(x) - 2)\|a +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R atan(----------------------------------------------------------------) +--R +----------------------+ +--R | 2 +--R 2 |- 4a cos(x) + 4b + 4a +-+ +--R (cos(x) + cos(x)) |---------------------- - 2cos(x)sin(x)\|a +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 3 5 3 4 2 3 3 +--R 8a cos(x) + 8a cos(x) + (- 4a b - 16a )cos(x) +--R + +--R 2 3 2 2 3 2 3 +--R (- 4a b - 16a )cos(x) + (4a b + 8a )cos(x) + 4a b + 8a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R sin(x) |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 3 6 2 3 4 +--R 16a cos(x) + (- 16a b - 48a )cos(x) +--R + +--R 2 2 3 2 2 2 3 +--R (2a b + 32a b + 48a )cos(x) - 2a b - 16a b - 16a +--R * +--R +-+ +--R \|a +--R * +--R atan +--R 4 3 2 +--R 4a cos(x) + 4a cos(x) + (- b - 3a)cos(x) +--R + +--R (- b - 3a)cos(x) +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R \|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 3 2 +--R (- 8a cos(x) + (6a b + 6a )cos(x))sin(x) +--R / +--R 3 2 +--R (4a cos(x) + 4a cos(x) + (- b - a)cos(x) - b - a)sin(x) +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R \|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 4 2 2 2 +--R 8a cos(x) + (- 6a b - 10a )cos(x) + 2a b + 2a +--R + +--R 2 5 2 4 +--R (- 8a b - 24a )cos(x) + (- 8a b - 24a )cos(x) +--R + +--R 2 2 3 2 2 2 +--R (4b + 28a b + 48a )cos(x) + (4b + 28a b + 48a )cos(x) +--R + +--R 2 2 2 2 +--R (- 4b - 20a b - 24a )cos(x) - 4b - 20a b - 24a +--R * +--R +----------------------+ +--R | 2 +--R +---+ +-+ |- 4a cos(x) + 4b + 4a +--R sin(x)\|- b \|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 3 6 2 2 3 4 +--R (- 16a b - 48a )cos(x) + (16a b + 96a b + 144a )cos(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 2b - 38a b - 144a b - 144a )cos(x) + 2b + 22a b + 64a b +--R + +--R 3 +--R 48a +--R * +--R +---+ +--R \|- b +--R * +--R atan +--R +----------------------+ +--R | 2 +--R 2 +---+ |- 4a cos(x) + 4b + 4a +--R (cos(x) + cos(x))\|- b |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R +---+ +-+ +--R - 2cos(x)sin(x)\|- b \|a +--R / +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a 2 +--R (cos(x) + 1)sin(x)\|a |---------------------- + 2a cos(x) +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R - 2b - 2a +--R + +--R 2 6 2 5 2 2 4 +--R 8a b cos(x) + 8a b cos(x) + (- 8a b - 16a b)cos(x) +--R + +--R 2 2 3 3 2 2 2 +--R (- 8a b - 16a b)cos(x) + (b + 8a b + 8a b)cos(x) +--R + +--R 3 2 2 +--R (b + 8a b + 8a b)cos(x) +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 5 2 2 3 +--R - 16a b cos(x) + (24a b + 32a b)cos(x) +--R + +--R 3 2 2 +--R (- 8b - 24a b - 16a b)cos(x) +--R * +--R +-+ +--R sin(x)\|a +--R / +--R 5 4 3 +--R 16a cos(x) + 16a cos(x) + (- 8b - 32a)cos(x) +--R + +--R 2 +--R (- 8b - 32a)cos(x) + (8b + 16a)cos(x) + 8b + 16a +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R sin(x)\|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 6 2 4 2 2 2 +--R 32a cos(x) + (- 32a b - 96a )cos(x) + (4b + 64a b + 96a )cos(x) +--R + +--R 2 2 +--R - 4b - 32a b - 32a +--R ] +--R Type: Union(List Expression Integer,...) +--E 514 + +--S 515 of 528 +m0397a:= a0397.1-r0397 +--R +--R +--R (476) +--R 2 5 2 4 +--R (4a b + 12a )cos(x) + (4a b + 12a )cos(x) +--R + +--R 2 2 3 2 2 2 +--R (- 2b - 14a b - 24a )cos(x) + (- 2b - 14a b - 24a )cos(x) +--R + +--R 2 2 2 2 +--R (2b + 10a b + 12a )cos(x) + 2b + 10a b + 12a +--R * +--R +----------------------+ +--R | 2 +--R +-+ +-+ |- 4a cos(x) + 4b + 4a +--R sin(x)\|a \|b |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 3 6 2 2 3 4 +--R (8a b + 24a )cos(x) + (- 8a b - 48a b - 72a )cos(x) +--R + +--R 3 2 2 3 2 3 2 2 3 +--R (b + 19a b + 72a b + 72a )cos(x) - b - 11a b - 32a b - 24a +--R * +--R +-+ +--R \|b +--R * +--R log +--R 4 10 4 9 3 4 8 +--R 128a cos(x) + 128a cos(x) + (- 256a b - 512a )cos(x) +--R + +--R 3 4 7 +--R (- 256a b - 512a )cos(x) +--R + +--R 2 2 3 4 6 +--R (160a b + 768a b + 768a )cos(x) +--R + +--R 2 2 3 4 5 +--R (160a b + 768a b + 768a )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (- 32a b - 320a b - 768a b - 512a )cos(x) +--R + +--R 3 2 2 3 4 3 +--R (- 32a b - 320a b - 768a b - 512a )cos(x) +--R + +--R 4 3 2 2 3 4 2 +--R (b + 32a b + 160a b + 256a b + 128a )cos(x) +--R + +--R 4 3 2 2 3 4 +--R (b + 32a b + 160a b + 256a b + 128a )cos(x) +--R * +--R +-+ +--R \|b +--R + +--R 3 4 9 3 4 8 +--R (- 64a b + 64a )cos(x) + (- 64a b + 64a )cos(x) +--R + +--R 2 2 3 4 7 +--R (96a b + 32a b - 256a )cos(x) +--R + +--R 2 2 3 4 6 +--R (96a b + 32a b - 256a )cos(x) +--R + +--R 3 2 2 3 4 5 +--R (- 40a b - 56a b + 288a b + 384a )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (- 40a b - 56a b + 288a b + 384a )cos(x) +--R + +--R 4 3 2 2 3 4 3 +--R (4b - 4a b - 176a b - 416a b - 256a )cos(x) +--R + +--R 4 3 2 2 3 4 2 +--R (4b - 4a b - 176a b - 416a b - 256a )cos(x) +--R + +--R 4 3 2 2 3 4 4 +--R (4b + 44a b + 136a b + 160a b + 64a )cos(x) + 4b +--R + +--R 3 2 2 3 4 +--R 44a b + 136a b + 160a b + 64a +--R * +--R +-+ +--R sin(x)\|a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 4 9 3 4 7 +--R - 256a cos(x) + (640a b + 1024a )cos(x) +--R + +--R 2 2 3 4 5 +--R (- 544a b - 1920a b - 1536a )cos(x) +--R + +--R 3 2 2 3 4 3 +--R (176a b + 1088a b + 1920a b + 1024a )cos(x) +--R + +--R 4 3 2 2 3 4 +--R (- 16b - 176a b - 544a b - 640a b - 256a )cos(x) +--R * +--R +-+ +-+ +--R sin(x)\|a \|b +--R + +--R 4 5 10 3 2 4 5 8 +--R (- 128a b + 128a )cos(x) + (256a b + 128a b - 640a )cos(x) +--R + +--R 2 3 3 2 4 5 6 +--R (- 160a b - 352a b + 768a b + 1280a )cos(x) +--R + +--R 4 2 3 3 2 4 5 4 +--R (32a b + 128a b - 480a b - 1792a b - 1280a )cos(x) +--R + +--R 5 4 2 3 3 2 4 5 2 5 +--R (- b + a b + 224a b + 992a b + 1408a b + 640a )cos(x) - b +--R + +--R 4 2 3 3 2 4 5 +--R - 33a b - 192a b - 416a b - 384a b - 128a +--R / +--R 3 9 3 8 2 3 7 +--R 64a cos(x) + 64a cos(x) + (- 96a b - 256a )cos(x) +--R + +--R 2 3 6 2 2 3 5 +--R (- 96a b - 256a )cos(x) + (40a b + 288a b + 384a )cos(x) +--R + +--R 2 2 3 4 +--R (40a b + 288a b + 384a )cos(x) +--R + +--R 3 2 2 3 3 +--R (- 4b - 80a b - 288a b - 256a )cos(x) +--R + +--R 3 2 2 3 2 +--R (- 4b - 80a b - 288a b - 256a )cos(x) +--R + +--R 3 2 2 3 3 2 2 +--R (4b + 40a b + 96a b + 64a )cos(x) + 4b + 40a b + 96a b +--R + +--R 3 +--R 64a +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R sin(x)\|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 4 10 3 4 8 +--R 128a cos(x) + (- 256a b - 640a )cos(x) +--R + +--R 2 2 3 4 6 +--R (160a b + 1024a b + 1280a )cos(x) +--R + +--R 3 2 2 3 4 4 +--R (- 32a b - 480a b - 1536a b - 1280a )cos(x) +--R + +--R 4 3 2 2 3 4 2 4 3 +--R (b + 64a b + 480a b + 1024a b + 640a )cos(x) - b - 32a b +--R + +--R 2 2 3 4 +--R - 160a b - 256a b - 128a +--R + +--R 2 5 2 4 +--R (8a b + 24a )cos(x) + (8a b + 24a )cos(x) +--R + +--R 2 2 3 2 2 2 +--R (- 4b - 28a b - 48a )cos(x) + (- 4b - 28a b - 48a )cos(x) +--R + +--R 2 2 2 2 +--R (4b + 20a b + 24a )cos(x) + 4b + 20a b + 24a +--R * +--R +----------------------+ +--R | 2 +--R +-+ +-+ |- 4a cos(x) + 4b + 4a +--R sin(x)\|a \|b |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 3 6 2 2 3 4 +--R (16a b + 48a )cos(x) + (- 16a b - 96a b - 144a )cos(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (2b + 38a b + 144a b + 144a )cos(x) - 2b - 22a b - 64a b +--R + +--R 3 +--R - 48a +--R * +--R +-+ +--R \|b +--R * +--R +-------------+ +--R | 2 +--R tan(x)\|b csc(x) + a +--R atanh(----------------------) +--R +-+ +--R \|b +--R + +--R 3 5 3 4 2 3 3 +--R 8a cos(x) + 8a cos(x) + (- 4a b - 16a )cos(x) +--R + +--R 2 3 2 2 3 2 3 +--R (- 4a b - 16a )cos(x) + (4a b + 8a )cos(x) + 4a b + 8a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R sin(x) |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 3 6 2 3 4 +--R 16a cos(x) + (- 16a b - 48a )cos(x) +--R + +--R 2 2 3 2 2 2 3 +--R (2a b + 32a b + 48a )cos(x) - 2a b - 16a b - 16a +--R * +--R +-+ +--R \|a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a 2 +-+ +--R (cos(x) + 1)sin(x) |---------------------- + (2cos(x) - 2)\|a +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R atan(----------------------------------------------------------------) +--R +----------------------+ +--R | 2 +--R 2 |- 4a cos(x) + 4b + 4a +-+ +--R (cos(x) + cos(x)) |---------------------- - 2cos(x)sin(x)\|a +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 3 5 3 4 2 3 3 +--R 8a cos(x) + 8a cos(x) + (- 4a b - 16a )cos(x) +--R + +--R 2 3 2 2 3 2 3 +--R (- 4a b - 16a )cos(x) + (4a b + 8a )cos(x) + 4a b + 8a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R sin(x) |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 3 6 2 3 4 +--R 16a cos(x) + (- 16a b - 48a )cos(x) +--R + +--R 2 2 3 2 2 2 3 +--R (2a b + 32a b + 48a )cos(x) - 2a b - 16a b - 16a +--R * +--R +-+ +--R \|a +--R * +--R atan +--R 4 3 2 +--R 4a cos(x) + 4a cos(x) + (- b - 3a)cos(x) +--R + +--R (- b - 3a)cos(x) +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R \|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 3 2 +--R (- 8a cos(x) + (6a b + 6a )cos(x))sin(x) +--R / +--R 3 2 +-+ +--R (4a cos(x) + 4a cos(x) + (- b - a)cos(x) - b - a)sin(x)\|a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 4 2 2 2 +--R 8a cos(x) + (- 6a b - 10a )cos(x) + 2a b + 2a +--R + +--R 3 5 3 4 2 3 3 +--R 16a cos(x) + 16a cos(x) + (- 8a b - 32a )cos(x) +--R + +--R 2 3 2 2 3 2 3 +--R (- 8a b - 32a )cos(x) + (8a b + 16a )cos(x) + 8a b + 16a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R sin(x) |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 3 6 2 3 4 +--R 32a cos(x) + (- 32a b - 96a )cos(x) +--R + +--R 2 2 3 2 2 2 3 +--R (4a b + 64a b + 96a )cos(x) - 4a b - 32a b - 32a +--R * +--R +-+ +--R \|a +--R * +--R +-+ +--R cot(x)\|a +--R atan(----------------) +--R +-------------+ +--R | 2 +--R \|b csc(x) + a +--R + +--R 5 4 2 3 +--R 8a b cos(x) + 8a b cos(x) + (- 4b - 16a b)cos(x) +--R + +--R 2 2 2 2 +--R (- 4b - 16a b)cos(x) + (4b + 8a b)cos(x) + 4b + 8a b +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R cot(x)sin(x)\|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 6 2 2 4 +--R 16a b cos(x) + (- 16a b - 48a b)cos(x) +--R + +--R 3 2 2 2 3 2 2 +--R (2b + 32a b + 48a b)cos(x) - 2b - 16a b - 16a b +--R * +--R cot(x) +--R * +--R +-------------+ +--R | 2 +--R \|b csc(x) + a +--R + +--R 2 6 2 5 2 2 4 +--R 8a b cos(x) + 8a b cos(x) + (- 8a b - 16a b)cos(x) +--R + +--R 2 2 3 3 2 2 2 +--R (- 8a b - 16a b)cos(x) + (b + 8a b + 8a b)cos(x) +--R + +--R 3 2 2 +--R (b + 8a b + 8a b)cos(x) +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 5 2 2 3 +--R - 16a b cos(x) + (24a b + 32a b)cos(x) +--R + +--R 3 2 2 +--R (- 8b - 24a b - 16a b)cos(x) +--R * +--R +-+ +--R sin(x)\|a +--R / +--R 5 4 3 2 +--R 16a cos(x) + 16a cos(x) + (- 8b - 32a)cos(x) + (- 8b - 32a)cos(x) +--R + +--R (8b + 16a)cos(x) + 8b + 16a +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R sin(x)\|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 6 2 4 2 2 2 2 +--R 32a cos(x) + (- 32a b - 96a )cos(x) + (4b + 64a b + 96a )cos(x) - 4b +--R + +--R 2 +--R - 32a b - 32a +--R Type: Expression Integer +--E 515 + +--S 516 of 528 +--d0397a:= D(m0397a,x) +--E 516 + +--S 517 of 528 +m0397b:= a0397.2-r0397 +--R +--R +--R (477) +--R 2 5 2 4 +--R (8a b + 24a )cos(x) + (8a b + 24a )cos(x) +--R + +--R 2 2 3 2 2 2 +--R (- 4b - 28a b - 48a )cos(x) + (- 4b - 28a b - 48a )cos(x) +--R + +--R 2 2 2 2 +--R (4b + 20a b + 24a )cos(x) + 4b + 20a b + 24a +--R * +--R +----------------------+ +--R | 2 +--R +-+ +-+ |- 4a cos(x) + 4b + 4a +--R sin(x)\|a \|b |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 3 6 2 2 3 4 +--R (16a b + 48a )cos(x) + (- 16a b - 96a b - 144a )cos(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (2b + 38a b + 144a b + 144a )cos(x) - 2b - 22a b - 64a b +--R + +--R 3 +--R - 48a +--R * +--R +-+ +--R \|b +--R * +--R +-------------+ +--R | 2 +--R tan(x)\|b csc(x) + a +--R atanh(----------------------) +--R +-+ +--R \|b +--R + +--R 3 5 3 4 2 3 3 +--R 8a cos(x) + 8a cos(x) + (- 4a b - 16a )cos(x) +--R + +--R 2 3 2 2 3 2 3 +--R (- 4a b - 16a )cos(x) + (4a b + 8a )cos(x) + 4a b + 8a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R sin(x) |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 3 6 2 3 4 +--R 16a cos(x) + (- 16a b - 48a )cos(x) +--R + +--R 2 2 3 2 2 2 3 +--R (2a b + 32a b + 48a )cos(x) - 2a b - 16a b - 16a +--R * +--R +-+ +--R \|a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a 2 +-+ +--R (cos(x) + 1)sin(x) |---------------------- + (2cos(x) - 2)\|a +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R atan(----------------------------------------------------------------) +--R +----------------------+ +--R | 2 +--R 2 |- 4a cos(x) + 4b + 4a +-+ +--R (cos(x) + cos(x)) |---------------------- - 2cos(x)sin(x)\|a +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 3 5 3 4 2 3 3 +--R 8a cos(x) + 8a cos(x) + (- 4a b - 16a )cos(x) +--R + +--R 2 3 2 2 3 2 3 +--R (- 4a b - 16a )cos(x) + (4a b + 8a )cos(x) + 4a b + 8a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R sin(x) |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 3 6 2 3 4 +--R 16a cos(x) + (- 16a b - 48a )cos(x) +--R + +--R 2 2 3 2 2 2 3 +--R (2a b + 32a b + 48a )cos(x) - 2a b - 16a b - 16a +--R * +--R +-+ +--R \|a +--R * +--R atan +--R 4 3 2 +--R 4a cos(x) + 4a cos(x) + (- b - 3a)cos(x) +--R + +--R (- b - 3a)cos(x) +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R \|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 3 2 +--R (- 8a cos(x) + (6a b + 6a )cos(x))sin(x) +--R / +--R 3 2 +-+ +--R (4a cos(x) + 4a cos(x) + (- b - a)cos(x) - b - a)sin(x)\|a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 4 2 2 2 +--R 8a cos(x) + (- 6a b - 10a )cos(x) + 2a b + 2a +--R + +--R 2 5 2 4 +--R (- 8a b - 24a )cos(x) + (- 8a b - 24a )cos(x) +--R + +--R 2 2 3 2 2 2 +--R (4b + 28a b + 48a )cos(x) + (4b + 28a b + 48a )cos(x) +--R + +--R 2 2 2 2 +--R (- 4b - 20a b - 24a )cos(x) - 4b - 20a b - 24a +--R * +--R +----------------------+ +--R | 2 +--R +---+ +-+ |- 4a cos(x) + 4b + 4a +--R sin(x)\|- b \|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 3 6 2 2 3 4 +--R (- 16a b - 48a )cos(x) + (16a b + 96a b + 144a )cos(x) +--R + +--R 3 2 2 3 2 3 2 2 +--R (- 2b - 38a b - 144a b - 144a )cos(x) + 2b + 22a b + 64a b +--R + +--R 3 +--R 48a +--R * +--R +---+ +--R \|- b +--R * +--R atan +--R +----------------------+ +--R | 2 +--R 2 +---+ |- 4a cos(x) + 4b + 4a +--R (cos(x) + cos(x))\|- b |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R +---+ +-+ +--R - 2cos(x)sin(x)\|- b \|a +--R / +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a 2 +--R (cos(x) + 1)sin(x)\|a |---------------------- + 2a cos(x) +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R - 2b - 2a +--R + +--R 3 5 3 4 2 3 3 +--R 16a cos(x) + 16a cos(x) + (- 8a b - 32a )cos(x) +--R + +--R 2 3 2 2 3 2 3 +--R (- 8a b - 32a )cos(x) + (8a b + 16a )cos(x) + 8a b + 16a +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R sin(x) |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 3 6 2 3 4 +--R 32a cos(x) + (- 32a b - 96a )cos(x) +--R + +--R 2 2 3 2 2 2 3 +--R (4a b + 64a b + 96a )cos(x) - 4a b - 32a b - 32a +--R * +--R +-+ +--R \|a +--R * +--R +-+ +--R cot(x)\|a +--R atan(----------------) +--R +-------------+ +--R | 2 +--R \|b csc(x) + a +--R + +--R 5 4 2 3 +--R 8a b cos(x) + 8a b cos(x) + (- 4b - 16a b)cos(x) +--R + +--R 2 2 2 2 +--R (- 4b - 16a b)cos(x) + (4b + 8a b)cos(x) + 4b + 8a b +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R cot(x)sin(x)\|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 6 2 2 4 +--R 16a b cos(x) + (- 16a b - 48a b)cos(x) +--R + +--R 3 2 2 2 3 2 2 +--R (2b + 32a b + 48a b)cos(x) - 2b - 16a b - 16a b +--R * +--R cot(x) +--R * +--R +-------------+ +--R | 2 +--R \|b csc(x) + a +--R + +--R 2 6 2 5 2 2 4 +--R 8a b cos(x) + 8a b cos(x) + (- 8a b - 16a b)cos(x) +--R + +--R 2 2 3 3 2 2 2 +--R (- 8a b - 16a b)cos(x) + (b + 8a b + 8a b)cos(x) +--R + +--R 3 2 2 +--R (b + 8a b + 8a b)cos(x) +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 5 2 2 3 +--R - 16a b cos(x) + (24a b + 32a b)cos(x) +--R + +--R 3 2 2 +--R (- 8b - 24a b - 16a b)cos(x) +--R * +--R +-+ +--R sin(x)\|a +--R / +--R 5 4 3 2 +--R 16a cos(x) + 16a cos(x) + (- 8b - 32a)cos(x) + (- 8b - 32a)cos(x) +--R + +--R (8b + 16a)cos(x) + 8b + 16a +--R * +--R +----------------------+ +--R | 2 +--R +-+ |- 4a cos(x) + 4b + 4a +--R sin(x)\|a |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 2 6 2 4 2 2 2 2 +--R 32a cos(x) + (- 32a b - 96a )cos(x) + (4b + 64a b + 96a )cos(x) - 4b +--R + +--R 2 +--R - 32a b - 32a +--R Type: Expression Integer +--E 517 + +--S 518 of 528 +d0397b:= D(m0397b,x) +--R +--R +--R (478) +--R 9 3 10 2 11 17 +--R (- 12288a b - 32768a b - 20480a b)cos(x) +--R + +--R 9 3 10 2 11 16 +--R (- 12288a b - 32768a b - 20480a b)cos(x) +--R + +--R 8 4 9 3 10 2 11 +--R (63488a b + 251904a b + 321536a b + 133120a b) +--R * +--R 15 +--R cos(x) +--R + +--R 8 4 9 3 10 2 11 +--R (63488a b + 251904a b + 321536a b + 133120a b) +--R * +--R 14 +--R cos(x) +--R + +--R 7 5 8 4 9 3 +--R - 137984a b - 734208a b - 1422336a b +--R + +--R 10 2 11 +--R - 1196032a b - 369920a b +--R * +--R 13 +--R cos(x) +--R + +--R 7 5 8 4 9 3 +--R - 137984a b - 734208a b - 1422336a b +--R + +--R 10 2 11 +--R - 1196032a b - 369920a b +--R * +--R 12 +--R cos(x) +--R + +--R 6 6 7 5 8 4 +--R 163712a b + 1103104a b + 2887936a b +--R + +--R 9 3 10 2 11 +--R 3692288a b + 2314624a b + 570880a b +--R * +--R 11 +--R cos(x) +--R + +--R 6 6 7 5 8 4 +--R 163712a b + 1103104a b + 2887936a b +--R + +--R 9 3 10 2 11 +--R 3692288a b + 2314624a b + 570880a b +--R * +--R 10 +--R cos(x) +--R + +--R 5 7 6 6 7 5 +--R - 115104a b - 947584a b - 3151168a b +--R + +--R 8 4 9 3 10 2 +--R - 5450240a b - 5192992a b - 2592640a b +--R + +--R 11 +--R - 531200a b +--R * +--R 9 +--R cos(x) +--R + +--R 5 7 6 6 7 5 +--R - 115104a b - 947584a b - 3151168a b +--R + +--R 8 4 9 3 10 2 +--R - 5450240a b - 5192992a b - 2592640a b +--R + +--R 11 +--R - 531200a b +--R * +--R 8 +--R cos(x) +--R + +--R 4 8 5 7 6 6 +--R 48688a b + 478016a b + 1943072a b +--R + +--R 7 5 8 4 9 3 +--R 4267968a b + 5497392a b + 4167296a b +--R + +--R 10 2 11 +--R 1726208a b + 302080a b +--R * +--R 7 +--R cos(x) +--R + +--R 4 8 5 7 6 6 +--R 48688a b + 478016a b + 1943072a b +--R + +--R 7 5 8 4 9 3 +--R 4267968a b + 5497392a b + 4167296a b +--R + +--R 10 2 11 +--R 1726208a b + 302080a b +--R * +--R 6 +--R cos(x) +--R + +--R 3 9 4 8 5 7 +--R - 11984a b - 137936a b - 667616a b +--R + +--R 6 6 7 5 8 4 +--R - 1789600a b - 2922640a b - 2990224a b +--R + +--R 9 3 10 2 11 +--R - 1877696a b - 663296a b - 101120a b +--R * +--R 5 +--R cos(x) +--R + +--R 3 9 4 8 5 7 +--R - 11984a b - 137936a b - 667616a b +--R + +--R 6 6 7 5 8 4 +--R - 1789600a b - 2922640a b - 2990224a b +--R + +--R 9 3 10 2 11 +--R - 1877696a b - 663296a b - 101120a b +--R * +--R 4 +--R cos(x) +--R + +--R 2 10 3 9 4 8 5 7 +--R 1552a b + 20704a b + 117104a b + 372672a b +--R + +--R 6 6 7 5 8 4 9 3 +--R 740720a b + 958432a b + 810384a b + 433024a b +--R + +--R 10 2 11 +--R 132992a b + 17920a b +--R * +--R 3 +--R cos(x) +--R + +--R 2 10 3 9 4 8 5 7 +--R 1552a b + 20704a b + 117104a b + 372672a b +--R + +--R 6 6 7 5 8 4 9 3 +--R 740720a b + 958432a b + 810384a b + 433024a b +--R + +--R 10 2 11 +--R 132992a b + 17920a b +--R * +--R 2 +--R cos(x) +--R + +--R 11 2 10 3 9 4 8 +--R - 80a b - 1232a b - 8048a b - 29840a b +--R + +--R 5 7 6 6 7 5 8 4 +--R - 70224a b - 110320a b - 117712a b - 84528a b +--R + +--R 9 3 10 2 11 +--R - 39200a b - 10624a b - 1280a b +--R * +--R cos(x) +--R + +--R 11 2 10 3 9 4 8 +--R - 80a b - 1232a b - 8048a b - 29840a b +--R + +--R 5 7 6 6 7 5 8 4 +--R - 70224a b - 110320a b - 117712a b - 84528a b +--R + +--R 9 3 10 2 11 +--R - 39200a b - 10624a b - 1280a b +--R * +--R 2 +--R csc(x) +--R + +--R 10 2 11 12 17 +--R (- 12288a b - 32768a b - 20480a )cos(x) +--R + +--R 10 2 11 12 16 +--R (- 12288a b - 32768a b - 20480a )cos(x) +--R + +--R 9 3 10 2 11 12 +--R (63488a b + 251904a b + 321536a b + 133120a ) +--R * +--R 15 +--R cos(x) +--R + +--R 9 3 10 2 11 12 +--R (63488a b + 251904a b + 321536a b + 133120a ) +--R * +--R 14 +--R cos(x) +--R + +--R 8 4 9 3 10 2 +--R - 137984a b - 734208a b - 1422336a b +--R + +--R 11 12 +--R - 1196032a b - 369920a +--R * +--R 13 +--R cos(x) +--R + +--R 8 4 9 3 10 2 +--R - 137984a b - 734208a b - 1422336a b +--R + +--R 11 12 +--R - 1196032a b - 369920a +--R * +--R 12 +--R cos(x) +--R + +--R 7 5 8 4 9 3 10 2 +--R 163712a b + 1103104a b + 2887936a b + 3692288a b +--R + +--R 11 12 +--R 2314624a b + 570880a +--R * +--R 11 +--R cos(x) +--R + +--R 7 5 8 4 9 3 10 2 +--R 163712a b + 1103104a b + 2887936a b + 3692288a b +--R + +--R 11 12 +--R 2314624a b + 570880a +--R * +--R 10 +--R cos(x) +--R + +--R 6 6 7 5 8 4 9 3 +--R - 115104a b - 947584a b - 3151168a b - 5450240a b +--R + +--R 10 2 11 12 +--R - 5192992a b - 2592640a b - 531200a +--R * +--R 9 +--R cos(x) +--R + +--R 6 6 7 5 8 4 9 3 +--R - 115104a b - 947584a b - 3151168a b - 5450240a b +--R + +--R 10 2 11 12 +--R - 5192992a b - 2592640a b - 531200a +--R * +--R 8 +--R cos(x) +--R + +--R 5 7 6 6 7 5 8 4 +--R 48688a b + 478016a b + 1943072a b + 4267968a b +--R + +--R 9 3 10 2 11 12 +--R 5497392a b + 4167296a b + 1726208a b + 302080a +--R * +--R 7 +--R cos(x) +--R + +--R 5 7 6 6 7 5 8 4 +--R 48688a b + 478016a b + 1943072a b + 4267968a b +--R + +--R 9 3 10 2 11 12 +--R 5497392a b + 4167296a b + 1726208a b + 302080a +--R * +--R 6 +--R cos(x) +--R + +--R 4 8 5 7 6 6 7 5 +--R - 11984a b - 137936a b - 667616a b - 1789600a b +--R + +--R 8 4 9 3 10 2 +--R - 2922640a b - 2990224a b - 1877696a b +--R + +--R 11 12 +--R - 663296a b - 101120a +--R * +--R 5 +--R cos(x) +--R + +--R 4 8 5 7 6 6 7 5 +--R - 11984a b - 137936a b - 667616a b - 1789600a b +--R + +--R 8 4 9 3 10 2 +--R - 2922640a b - 2990224a b - 1877696a b +--R + +--R 11 12 +--R - 663296a b - 101120a +--R * +--R 4 +--R cos(x) +--R + +--R 3 9 4 8 5 7 6 6 +--R 1552a b + 20704a b + 117104a b + 372672a b +--R + +--R 7 5 8 4 9 3 10 2 +--R 740720a b + 958432a b + 810384a b + 433024a b +--R + +--R 11 12 +--R 132992a b + 17920a +--R * +--R 3 +--R cos(x) +--R + +--R 3 9 4 8 5 7 6 6 +--R 1552a b + 20704a b + 117104a b + 372672a b +--R + +--R 7 5 8 4 9 3 10 2 +--R 740720a b + 958432a b + 810384a b + 433024a b +--R + +--R 11 12 +--R 132992a b + 17920a +--R * +--R 2 +--R cos(x) +--R + +--R 2 10 3 9 4 8 5 7 +--R - 80a b - 1232a b - 8048a b - 29840a b +--R + +--R 6 6 7 5 8 4 9 3 +--R - 70224a b - 110320a b - 117712a b - 84528a b +--R + +--R 10 2 11 12 +--R - 39200a b - 10624a b - 1280a +--R * +--R cos(x) +--R + +--R 2 10 3 9 4 8 5 7 6 6 +--R - 80a b - 1232a b - 8048a b - 29840a b - 70224a b +--R + +--R 7 5 8 4 9 3 10 2 +--R - 110320a b - 117712a b - 84528a b - 39200a b +--R + +--R 11 12 +--R - 10624a b - 1280a +--R * +--R 10 +--R sin(x) +--R + +--R 9 3 10 2 11 19 +--R (16384a b + 196608a b + 245760a b)cos(x) +--R + +--R 9 3 10 2 11 18 +--R (16384a b + 196608a b + 245760a b)cos(x) +--R + +--R 8 4 9 3 10 2 +--R - 98304a b - 1269760a b - 2924544a b +--R + +--R 11 +--R - 1843200a b +--R * +--R 17 +--R cos(x) +--R + +--R 8 4 9 3 10 2 +--R - 98304a b - 1269760a b - 2924544a b +--R + +--R 11 +--R - 1843200a b +--R * +--R 16 +--R cos(x) +--R + +--R 7 5 8 4 9 3 +--R 250880a b + 3508224a b + 11587584a b +--R + +--R 10 2 11 +--R 14327808a b + 6036480a b +--R * +--R 15 +--R cos(x) +--R + +--R 7 5 8 4 9 3 +--R 250880a b + 3508224a b + 11587584a b +--R + +--R 10 2 11 +--R 14327808a b + 6036480a b +--R * +--R 14 +--R cos(x) +--R + +--R 6 6 7 5 8 4 +--R - 353792a b - 5397504a b - 23087104a b +--R + +--R 9 3 10 2 11 +--R - 42441728a b - 35682816a b - 11289600a b +--R * +--R 13 +--R cos(x) +--R + +--R 6 6 7 5 8 4 +--R - 353792a b - 5397504a b - 23087104a b +--R + +--R 9 3 10 2 11 +--R - 42441728a b - 35682816a b - 11289600a b +--R * +--R 12 +--R cos(x) +--R + +--R 5 7 6 6 7 5 +--R 299776a b + 5040768a b + 26515712a b +--R + +--R 8 4 9 3 10 2 +--R 64899840a b + 82114944a b + 52214784a b +--R + +--R 11 +--R 13224960a b +--R * +--R 11 +--R cos(x) +--R + +--R 5 7 6 6 7 5 +--R 299776a b + 5040768a b + 26515712a b +--R + +--R 8 4 9 3 10 2 +--R 64899840a b + 82114944a b + 52214784a b +--R + +--R 11 +--R 13224960a b +--R * +--R 10 +--R cos(x) +--R + +--R 4 8 5 7 6 6 +--R - 155488a b - 2920960a b - 18387552a b +--R + +--R 7 5 8 4 9 3 +--R - 56608704a b - 96321920a b - 92695424a b +--R + +--R 10 2 11 +--R - 47359488a b - 9999360a b +--R * +--R 9 +--R cos(x) +--R + +--R 4 8 5 7 6 6 +--R - 155488a b - 2920960a b - 18387552a b +--R + +--R 7 5 8 4 9 3 +--R - 56608704a b - 96321920a b - 92695424a b +--R + +--R 10 2 11 +--R - 47359488a b - 9999360a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 9 4 8 5 7 +--R 48208a b + 1030208a b + 7666144a b +--R + +--R 6 6 7 5 8 4 +--R 28763712a b + 62090576a b + 80748544a b +--R + +--R 9 3 10 2 11 +--R 62631680a b + 26732544a b + 4838400a b +--R * +--R 7 +--R cos(x) +--R + +--R 3 9 4 8 5 7 +--R 48208a b + 1030208a b + 7666144a b +--R + +--R 6 6 7 5 8 4 +--R 28763712a b + 62090576a b + 80748544a b +--R + +--R 9 3 10 2 11 +--R 62631680a b + 26732544a b + 4838400a b +--R * +--R 6 +--R cos(x) +--R + +--R 2 10 3 9 4 8 +--R - 8340a b - 207808a b - 1826360a b +--R + +--R 5 7 6 6 7 5 +--R - 8217072a b - 21775956a b - 36082544a b +--R + +--R 8 4 9 3 10 2 +--R - 37926144a b - 24621824a b - 9020928a b +--R + +--R 11 +--R - 1428480a b +--R * +--R 5 +--R cos(x) +--R + +--R 2 10 3 9 4 8 +--R - 8340a b - 207808a b - 1826360a b +--R + +--R 5 7 6 6 7 5 +--R - 8217072a b - 21775956a b - 36082544a b +--R + +--R 8 4 9 3 10 2 +--R - 37926144a b - 24621824a b - 9020928a b +--R + +--R 11 +--R - 1428480a b +--R * +--R 4 +--R cos(x) +--R + +--R 11 2 10 3 9 4 8 +--R 696a b + 21000a b + 220384a b + 1183888a b +--R + +--R 5 7 6 6 7 5 +--R 3785336a b + 7729896a b + 10378480a b +--R + +--R 8 4 9 3 10 2 +--R 9146624a b + 5103488a b + 1637376a b +--R + +--R 11 +--R 230400a b +--R * +--R 3 +--R cos(x) +--R + +--R 11 2 10 3 9 4 8 +--R 696a b + 21000a b + 220384a b + 1183888a b +--R + +--R 5 7 6 6 7 5 +--R 3785336a b + 7729896a b + 10378480a b +--R + +--R 8 4 9 3 10 2 +--R 9146624a b + 5103488a b + 1637376a b +--R + +--R 11 +--R 230400a b +--R * +--R 2 +--R cos(x) +--R + +--R 12 11 2 10 3 9 +--R - 20b - 776a b - 9996a b - 64640a b +--R + +--R 4 8 5 7 6 6 +--R - 248044a b - 613224a b - 1017076a b +--R + +--R 7 5 8 4 9 3 +--R - 1146896a b - 869760a b - 425344a b +--R + +--R 10 2 11 +--R - 121344a b - 15360a b +--R * +--R cos(x) +--R + +--R 12 11 2 10 3 9 +--R - 20b - 776a b - 9996a b - 64640a b +--R + +--R 4 8 5 7 6 6 7 5 +--R - 248044a b - 613224a b - 1017076a b - 1146896a b +--R + +--R 8 4 9 3 10 2 11 +--R - 869760a b - 425344a b - 121344a b - 15360a b +--R * +--R 2 +--R csc(x) +--R + +--R 10 2 11 12 19 +--R (16384a b + 196608a b + 245760a )cos(x) +--R + +--R 10 2 11 12 18 +--R (16384a b + 196608a b + 245760a )cos(x) +--R + +--R 9 3 10 2 11 12 +--R (- 98304a b - 1269760a b - 2924544a b - 1843200a ) +--R * +--R 17 +--R cos(x) +--R + +--R 9 3 10 2 11 12 +--R (- 98304a b - 1269760a b - 2924544a b - 1843200a ) +--R * +--R 16 +--R cos(x) +--R + +--R 8 4 9 3 10 2 +--R 250880a b + 3508224a b + 11587584a b +--R + +--R 11 12 +--R 14327808a b + 6036480a +--R * +--R 15 +--R cos(x) +--R + +--R 8 4 9 3 10 2 +--R 250880a b + 3508224a b + 11587584a b +--R + +--R 11 12 +--R 14327808a b + 6036480a +--R * +--R 14 +--R cos(x) +--R + +--R 7 5 8 4 9 3 +--R - 353792a b - 5397504a b - 23087104a b +--R + +--R 10 2 11 12 +--R - 42441728a b - 35682816a b - 11289600a +--R * +--R 13 +--R cos(x) +--R + +--R 7 5 8 4 9 3 +--R - 353792a b - 5397504a b - 23087104a b +--R + +--R 10 2 11 12 +--R - 42441728a b - 35682816a b - 11289600a +--R * +--R 12 +--R cos(x) +--R + +--R 6 6 7 5 8 4 +--R 299776a b + 5040768a b + 26515712a b +--R + +--R 9 3 10 2 11 +--R 64899840a b + 82114944a b + 52214784a b +--R + +--R 12 +--R 13224960a +--R * +--R 11 +--R cos(x) +--R + +--R 6 6 7 5 8 4 +--R 299776a b + 5040768a b + 26515712a b +--R + +--R 9 3 10 2 11 +--R 64899840a b + 82114944a b + 52214784a b +--R + +--R 12 +--R 13224960a +--R * +--R 10 +--R cos(x) +--R + +--R 5 7 6 6 7 5 +--R - 155488a b - 2920960a b - 18387552a b +--R + +--R 8 4 9 3 10 2 +--R - 56608704a b - 96321920a b - 92695424a b +--R + +--R 11 12 +--R - 47359488a b - 9999360a +--R * +--R 9 +--R cos(x) +--R + +--R 5 7 6 6 7 5 +--R - 155488a b - 2920960a b - 18387552a b +--R + +--R 8 4 9 3 10 2 +--R - 56608704a b - 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132a b - 3036a b - 27604a b - 137740a b - 430092a b +--R + +--R 6 7 7 6 8 5 9 4 +--R - 896084a b - 1283996a b - 1274244a b - 862720a b +--R + +--R 10 3 11 2 12 +--R - 380992a b - 99072a b - 11520a b +--R * +--R 9 +--R sin(x) +--R + +--R 10 3 11 2 12 20 +--R (57344a b - 344064a b - 860160a b)cos(x) +--R + +--R 9 4 10 3 11 2 12 +--R (- 315392a b + 1863680a b + 8687616a b + 7311360a b) +--R * +--R 18 +--R cos(x) +--R + +--R 8 5 9 4 10 3 11 2 +--R 730624a b - 4601856a b - 32736256a b - 54491136a b +--R + +--R 12 +--R - 27578880a b +--R * +--R 16 +--R cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R - 922112a b + 6960128a b + 66275328a b + 165401600a b +--R + +--R 11 2 12 +--R 167526912a b + 60641280a b +--R * +--R 14 +--R cos(x) +--R + +--R 6 7 7 6 8 5 9 4 +--R 683392a b - 7174912a b - 82348800a b - 273989632a b +--R + +--R 10 3 11 2 12 +--R - 418151552a b - 304442880a b - 85800960a b +--R * +--R 12 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R - 297024a b + 5153792a b + 66147392a b + 274560128a b +--R + +--R 9 4 10 3 11 2 12 +--R 562420096a b + 619431680a b + 352160256a b + 81285120a b +--R * +--R 10 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 +--R 70000a b - 2500352a b - 34557952a b - 171911104a b +--R + +--R 8 5 9 4 10 3 +--R - 444352048a b - 660023168a b - 569269120a b +--R + +--R 11 2 12 +--R - 265606656a b - 51932160a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R - 6608a b + 766952a b + 11375960a b + 66387832a b +--R + +--R 7 6 8 5 9 4 +--R 209001624a b + 394263488a b + 460244736a b +--R + +--R 10 3 11 2 12 +--R 326534656a b + 129271296a b + 21934080a b +--R * +--R 6 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R - 308a b - 134424a b - 2187640a b - 14901248a b +--R + +--R 6 7 7 6 8 5 +--R - 56119444a b - 130024136a b - 193667616a b +--R + +--R 9 4 10 3 11 2 12 +--R - 186527488a b - 112524160a b - 38717952a b - 5806080a b +--R * +--R 4 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 +--R 88a b + 11392a b + 211992a b + 1704832a b +--R + +--R 5 8 6 7 7 6 8 5 +--R 7656072a b + 21437888a b + 39455112a b + 48679232a b +--R + +--R 9 4 10 3 11 2 12 +--R 39976832a b + 21004032a b + 6397440a b + 860160a b +--R * +--R 2 +--R cos(x) +--R + +--R 13 12 2 11 3 10 4 9 +--R - 4b - 336a b - 7484a b - 73016a b - 395116a b +--R + +--R 5 8 6 7 7 6 8 5 +--R - 1333408a b - 2985508a b - 4571864a b - 4825136a b +--R + +--R 9 4 10 3 11 2 12 +--R - 3459456a b - 1611904a b - 440832a b - 53760a b +--R * +--R 7 +--R sin(x) +--R + +--R 10 3 11 2 12 22 +--R (- 57344a b - 344064a b + 860160a b)cos(x) +--R + +--R 9 4 10 3 11 2 12 20 +--R (372736a b + 2666496a b - 3010560a b - 8171520a b)cos(x) +--R + +--R 8 5 9 4 10 3 11 2 +--R - 1046016a b - 8787968a b - 236544a b + 39610368a b +--R + +--R 12 +--R 34890240a b +--R * +--R 18 +--R cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R 1653248a b + 16170496a b + 16966656a b - 78296064a b +--R + +--R 11 2 12 +--R - 167634432a b - 88220160a b +--R * +--R 16 +--R cos(x) +--R + +--R 6 7 7 6 8 5 9 4 +--R - 1608960a b - 18266624a b - 36361344a b + 80704512a b +--R + +--R 10 3 11 2 12 +--R 344202880a b + 389910528a b + 146442240a b +--R * +--R 14 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R 989568a b + 13079360a b + 37782144a b - 46524224a b +--R + +--R 9 4 10 3 11 2 +--R - 398290816a b - 730731904a b - 571705344a b +--R + +--R 12 +--R - 167086080a b +--R * +--R 12 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 +--R - 379528a b - 5901984a b - 22262288a b + 16098720a b +--R + +--R 8 5 9 4 10 3 +--R 289095320a b + 758171904a b + 925051008a b +--R + +--R 11 2 12 +--R 556351488a b + 133217280a b +--R * +--R 10 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R 86168a b + 1611088a b + 7503224a b - 4820376a b +--R + +--R 7 6 8 5 9 4 +--R - 138061840a b - 475102904a b - 799811712a b +--R + +--R 10 3 11 2 12 +--R - 741888896a b - 363783168a b - 73866240a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R - 10400a b - 243496a b - 1344788a b + 1852912a b +--R + +--R 6 7 7 6 8 5 9 4 +--R 43335564a b + 182367232a b + 394907504a b + 502014464a b +--R + +--R 10 3 11 2 12 +--R 378514304a b + 157151232a b + 27740160a b +--R * +--R 6 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 +--R 536a b + 17072a b + 105164a b - 512540a b +--R + +--R 5 8 6 7 7 6 8 5 +--R - 8329684a b - 40863796a b - 109141856a b - 178724016a b +--R + +--R 9 4 10 3 11 2 12 +--R - 184797312a b - 118034560a b - 42620928a b - 6666240a b +--R * +--R 4 +--R cos(x) +--R + +--R 13 12 2 11 3 10 4 9 +--R - 8b - 376a b - 1772a b + 60512a b + 821608a b +--R + +--R 5 8 6 7 7 6 8 5 +--R 4660248a b + 15100404a b + 30883296a b + 41385464a b +--R + +--R 9 4 10 3 11 2 12 +--R 36382976a b + 20261248a b + 6494208a b + 913920a b +--R * +--R 2 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R - 60a b - 2180a b - 29160a b - 195840a b - 774284a b +--R + +--R 6 7 7 6 8 5 9 4 +--R - 1959908a b - 3314320a b - 3800280a b - 2925440a b +--R + +--R 10 3 11 2 12 +--R - 1450624a b - 419328a b - 53760a b +--R * +--R 5 +--R sin(x) +--R + +--R 10 3 11 2 12 24 +--R (- 53248a b + 221184a b - 184320a b)cos(x) +--R + +--R 9 4 10 3 11 2 12 22 +--R (325632a b - 985088a b - 866304a b + 1935360a b)cos(x) +--R + +--R 8 5 9 4 10 3 11 2 +--R - 858368a b + 1620992a b + 6931968a b - 2792448a b +--R + +--R 12 +--R - 9227520a b +--R * +--R 20 +--R cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R 1272576a b - 947200a b - 16630784a b - 11693568a b +--R + +--R 11 2 12 +--R 27705600a b + 26380800a b +--R * +--R 18 +--R cos(x) +--R + +--R 6 7 7 6 8 5 9 4 +--R - 1160512a b - 469760a b + 21099904a b + 40420096a b +--R + +--R 10 3 11 2 12 +--R - 20497216a b - 90236160a b - 50284800a b +--R * +--R 16 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R 668480a b + 1037312a b - 16393280a b - 55202176a b +--R + +--R 9 4 10 3 11 2 12 +--R - 21304960a b + 120361472a b + 170284032a b + 67184640a b +--R * +--R 14 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 +--R - 240208a b - 643328a b + 8303296a b + 42182080a b +--R + +--R 8 5 9 4 10 3 11 2 +--R 48694736a b - 76492416a b - 237750016a b - 210373632a b +--R + +--R 12 +--R - 64350720a b +--R * +--R 12 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R 51184a b + 191352a b - 2790968a b - 19453048a b +--R + +--R 7 6 8 5 9 4 +--R - 37167384a b + 21138592a b + 179380096a b +--R + +--R 10 3 11 2 12 +--R 270569984a b + 177348096a b + 44375040a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R - 5812a b - 26872a b + 598736a b + 5360192a b +--R + +--R 6 7 7 6 8 5 9 4 +--R 14403300a b - 590856a b - 81426640a b - 185635456a b +--R + +--R 10 3 11 2 12 +--R - 195332992a b - 102643200a b - 21772800a b +--R * +--R 8 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R 280a b + 1424a b - 71768a b - 809712a b - 2847760a b +--R + +--R 6 7 7 6 8 5 9 4 +--R - 465888a b + 23570640a b + 73476416a b + 109474944a b +--R + +--R 10 3 11 2 12 +--R 90502656a b + 39951360a b + 7372800a b +--R * +--R 6 +--R cos(x) +--R + +--R 13 12 2 11 3 10 4 9 +--R - 4b - 16a b + 3564a b + 54520a b + 243176a b +--R + +--R 5 8 6 7 7 6 8 5 +--R - 96352a b - 4330312a b - 16624720a b - 32502224a b +--R + +--R 9 4 10 3 11 2 12 +--R - 37531520a b - 25904384a b - 9916416a b - 1624320a b +--R * +--R 4 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R - 48a b - 1088a b - 5504a b + 32328a b + 430664a b +--R + +--R 6 7 7 6 8 5 9 4 +--R 1913464a b + 4703240a b + 7144864a b + 6893184a b +--R + +--R 10 3 11 2 12 +--R 4127744a b + 1403136a b + 207360a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 +--R - 60a b - 1560a b - 15672a b - 80928a b - 247612a b +--R + +--R 7 6 8 5 9 4 10 3 11 2 +--R - 482536a b - 617904a b - 519808a b - 277312a b - 85248a b +--R + +--R 12 +--R - 11520a b +--R * +--R 3 +--R sin(x) +--R + +--R 10 3 11 2 12 26 +--R (4096a b - 8192a b + 4096a b)cos(x) +--R + +--R 9 4 10 3 11 2 12 24 +--R (- 26624a b + 14336a b + 59392a b - 47104a b)cos(x) +--R + +--R 8 5 9 4 10 3 11 2 +--R 75008a b + 76800a b - 265728a b - 130048a b +--R + +--R 12 +--R 248064a b +--R * +--R 22 +--R cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R - 119552a b - 326400a b + 303616a b + 1033728a b +--R + +--R 11 2 12 +--R - 165632a b - 791296a b +--R * +--R 20 +--R cos(x) +--R + +--R 6 7 7 6 8 5 9 4 +--R 117888a b + 548480a b + 174016a b - 1942784a b +--R + +--R 10 3 11 2 12 +--R - 1733312a b + 1600000a b + 1703680a b +--R * +--R 18 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R - 73760a b - 510432a b - 726368a b + 1570592a b +--R + +--R 9 4 10 3 11 2 12 +--R 4172672a b + 559296a b - 4344576a b - 2610432a b +--R * +--R 16 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 +--R 28804a b + 281872a b + 733688a b - 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255848a b + 10048a b + 1121068a b + 2280448a b +--R + +--R 10 3 11 2 12 +--R 2161408a b + 1031168a b + 199936a b +--R * +--R 6 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R - 4a b - 28a b + 592a b + 7200a b + 23920a b +--R + +--R 6 7 7 6 8 5 9 4 +--R - 768a b - 193772a b - 546612a b - 750592a b +--R + +--R 10 3 11 2 12 +--R - 575232a b - 236288a b - 40704a b +--R * +--R 4 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 +--R - 8a b - 136a b - 596a b + 1376a b + 18560a b +--R + +--R 7 6 8 5 9 4 10 3 11 2 +--R 64648a b + 119292a b + 130816a b + 85824a b + 31232a b +--R + +--R 12 +--R 4864a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R - 4a b - 84a b - 680a b - 2792a b - 6676a b - 9924a b +--R + +--R 9 4 10 3 11 2 12 +--R - 9344a b - 5440a b - 1792a b - 256a b +--R * +--R sin(x) +--R * +--R +-------------+ +--R | 2 +--R \|b csc(x) + a +--R + +--R 8 5 9 4 10 3 17 +--R (- 2048a b - 4096a b - 2048a b )cos(x) +--R + +--R 8 5 9 4 10 3 16 +--R (- 2048a b - 4096a b - 2048a b )cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R (7168a b + 27648a b + 33792a b + 13312a b ) +--R * +--R 15 +--R cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R (7168a b + 27648a b + 33792a b + 13312a b ) +--R * +--R 14 +--R cos(x) +--R + +--R 6 7 7 6 8 5 9 4 +--R - 9856a b - 59904a b - 127232a b - 114176a b +--R + +--R 10 3 +--R - 36992a b +--R * +--R 13 +--R cos(x) +--R + +--R 6 7 7 6 8 5 9 4 +--R - 9856a b - 59904a b - 127232a b - 114176a b +--R + +--R 10 3 +--R - 36992a b +--R * +--R 12 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R 6784a b + 60416a b + 194560a b + 292096a b +--R + +--R 9 4 10 3 +--R 208256a b + 57088a b +--R * +--R 11 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R 6784a b + 60416a b + 194560a b + 292096a b +--R + +--R 9 4 10 3 +--R 208256a b + 57088a b +--R * +--R 10 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 +--R - 2464a b - 31744a b - 146240a b - 325504a b +--R + +--R 8 5 9 4 10 3 +--R - 380064a b - 224640a b - 53120a b +--R * +--R 9 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 +--R - 2464a b - 31744a b - 146240a b - 325504a b +--R + +--R 8 5 9 4 10 3 +--R - 380064a b - 224640a b - 53120a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R 448a b + 8832a b + 57472a b + 179456a b +--R + +--R 7 6 8 5 9 4 10 3 +--R 305344a b + 290944a b + 146176a b + 30208a b +--R * +--R 7 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R 448a b + 8832a b + 57472a b + 179456a b +--R + +--R 7 6 8 5 9 4 10 3 +--R 305344a b + 290944a b + 146176a b + 30208a b +--R * +--R 6 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R - 32a b - 1216a b - 11648a b - 50176a b +--R + +--R 6 7 7 6 8 5 +--R - 117536a b - 160576a b - 128192a b +--R + +--R 9 4 10 3 +--R - 55552a b - 10112a b +--R * +--R 5 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R - 32a b - 1216a b - 11648a b - 50176a b +--R + +--R 6 7 7 6 8 5 +--R - 117536a b - 160576a b - 128192a b +--R + +--R 9 4 10 3 +--R - 55552a b - 10112a b +--R * +--R 4 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R 64a b + 1088a b + 6656a b + 20992a b +--R + +--R 6 7 7 6 8 5 9 4 +--R 38720a b + 43584a b + 29568a b + 11136a b +--R + +--R 10 3 +--R 1792a b +--R * +--R 3 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R 64a b + 1088a b + 6656a b + 20992a b +--R + +--R 6 7 7 6 8 5 9 4 +--R 38720a b + 43584a b + 29568a b + 11136a b +--R + +--R 10 3 +--R 1792a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R - 32a b - 320a b - 1376a b - 3328a b +--R + +--R 6 7 7 6 8 5 9 4 +--R - 4960a b - 4672a b - 2720a b - 896a b +--R + +--R 10 3 +--R - 128a b +--R * +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 +--R - 32a b - 320a b - 1376a b - 3328a b - 4960a b +--R + +--R 7 6 8 5 9 4 10 3 +--R - 4672a b - 2720a b - 896a b - 128a b +--R * +--R 2 +--R cot(x) +--R + +--R 8 5 9 4 10 3 17 +--R (- 1024a b - 2048a b - 1024a b )cos(x) +--R + +--R 8 5 9 4 10 3 16 +--R (- 1024a b - 2048a b - 1024a b )cos(x) +--R + +--R 7 6 8 5 9 4 10 3 15 +--R (3584a b + 13824a b + 16896a b + 6656a b )cos(x) +--R + +--R 7 6 8 5 9 4 10 3 14 +--R (3584a b + 13824a b + 16896a b + 6656a b )cos(x) +--R + +--R 6 7 7 6 8 5 9 4 +--R - 4928a b - 29952a b - 63616a b - 57088a b +--R + +--R 10 3 +--R - 18496a b +--R * +--R 13 +--R cos(x) +--R + +--R 6 7 7 6 8 5 9 4 +--R - 4928a b - 29952a b - 63616a b - 57088a b +--R + +--R 10 3 +--R - 18496a b +--R * +--R 12 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R 3392a b + 30208a b + 97280a b + 146048a b +--R + +--R 9 4 10 3 +--R 104128a b + 28544a b +--R * +--R 11 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R 3392a b + 30208a b + 97280a b + 146048a b +--R + +--R 9 4 10 3 +--R 104128a b + 28544a b +--R * +--R 10 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 +--R - 1232a b - 15872a b - 73120a b - 162752a b +--R + +--R 8 5 9 4 10 3 +--R - 190032a b - 112320a b - 26560a b +--R * +--R 9 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 +--R - 1232a b - 15872a b - 73120a b - 162752a b +--R + +--R 8 5 9 4 10 3 +--R - 190032a b - 112320a b - 26560a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R 224a b + 4416a b + 28736a b + 89728a b +--R + +--R 7 6 8 5 9 4 10 3 +--R 152672a b + 145472a b + 73088a b + 15104a b +--R * +--R 7 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R 224a b + 4416a b + 28736a b + 89728a b +--R + +--R 7 6 8 5 9 4 10 3 +--R 152672a b + 145472a b + 73088a b + 15104a b +--R * +--R 6 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R - 16a b - 608a b - 5824a b - 25088a b +--R + +--R 6 7 7 6 8 5 9 4 +--R - 58768a b - 80288a b - 64096a b - 27776a b +--R + +--R 10 3 +--R - 5056a b +--R * +--R 5 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R - 16a b - 608a b - 5824a b - 25088a b +--R + +--R 6 7 7 6 8 5 9 4 +--R - 58768a b - 80288a b - 64096a b - 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48a b - 1824a b - 17472a b - 75264a b +--R + +--R 7 6 8 5 9 4 +--R - 176304a b - 240864a b - 192288a b +--R + +--R 10 3 11 2 +--R - 83328a b - 15168a b +--R * +--R 5 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R - 48a b - 1824a b - 17472a b - 75264a b +--R + +--R 7 6 8 5 9 4 +--R - 176304a b - 240864a b - 192288a b +--R + +--R 10 3 11 2 +--R - 83328a b - 15168a b +--R * +--R 4 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R 96a b + 1632a b + 9984a b + 31488a b +--R + +--R 7 6 8 5 9 4 10 3 +--R 58080a b + 65376a b + 44352a b + 16704a b +--R + +--R 11 2 +--R 2688a b +--R * +--R 3 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R 96a b + 1632a b + 9984a b + 31488a b +--R + +--R 7 6 8 5 9 4 10 3 +--R 58080a b + 65376a b + 44352a b + 16704a b +--R + +--R 11 2 +--R 2688a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R - 48a b - 480a b - 2064a b - 4992a b +--R + +--R 7 6 8 5 9 4 10 3 +--R - 7440a b - 7008a b - 4080a b - 1344a b +--R + +--R 11 2 +--R - 192a b +--R * +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R - 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16a b - 688a b - 8896a b - 55424a b +--R + +--R 6 7 7 6 8 5 9 4 +--R - 195856a b - 424304a b - 583072a b - 508832a b +--R + +--R 10 3 11 2 12 +--R - 272128a b - 80832a b - 10112a b +--R * +--R 5 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R - 16a b - 688a b - 8896a b - 55424a b +--R + +--R 6 7 7 6 8 5 9 4 +--R - 195856a b - 424304a b - 583072a b - 508832a b +--R + +--R 10 3 11 2 12 +--R - 272128a b - 80832a b - 10112a b +--R * +--R 4 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 +--R 32a b + 704a b + 6112a b + 28224a b + 78496a b +--R + +--R 7 6 8 5 9 4 10 3 +--R 139584a b + 162464a b + 123072a b + 58304a b +--R + +--R 11 2 12 +--R 15616a b + 1792a b +--R * +--R 3 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 +--R 32a b + 704a b + 6112a b + 28224a b + 78496a b +--R + +--R 7 6 8 5 9 4 10 3 +--R 139584a b + 162464a b + 123072a b + 58304a b +--R + +--R 11 2 12 +--R 15616a b + 1792a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R - 16a b - 240a b - 1520a b - 5424a b +--R + +--R 6 7 7 6 8 5 9 4 +--R - 12176a b - 18064a b - 18000a b - 11920a b +--R + +--R 10 3 11 2 12 +--R - 5024a b - 1216a b - 128a b +--R * +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 +--R - 16a b - 240a b - 1520a b - 5424a b - 12176a b +--R + +--R 7 6 8 5 9 4 10 3 +--R - 18064a b - 18000a b - 11920a b - 5024a b +--R + +--R 11 2 12 +--R - 1216a b - 128a b +--R * +--R 2 +--R csc(x) +--R + +--R 10 3 11 2 12 17 +--R (- 1024a b - 2048a b - 1024a b)cos(x) +--R + +--R 10 3 11 2 12 16 +--R (- 1024a b - 2048a b - 1024a b)cos(x) +--R + +--R 9 4 10 3 11 2 12 15 +--R (3584a b + 13824a b + 16896a b + 6656a b)cos(x) +--R + +--R 9 4 10 3 11 2 12 14 +--R (3584a b + 13824a b + 16896a b + 6656a b)cos(x) +--R + +--R 8 5 9 4 10 3 11 2 +--R - 4928a b - 29952a b - 63616a b - 57088a b +--R + +--R 12 +--R - 18496a b +--R * +--R 13 +--R cos(x) +--R + +--R 8 5 9 4 10 3 11 2 +--R - 4928a b - 29952a b - 63616a b - 57088a b +--R + +--R 12 +--R - 18496a b +--R * +--R 12 +--R cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R 3392a b + 30208a b + 97280a b + 146048a b +--R + +--R 11 2 12 +--R 104128a b + 28544a b +--R * +--R 11 +--R cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R 3392a b + 30208a b + 97280a b + 146048a b +--R + +--R 11 2 12 +--R 104128a b + 28544a b +--R * +--R 10 +--R cos(x) +--R + +--R 6 7 7 6 8 5 9 4 +--R - 1232a b - 15872a b - 73120a b - 162752a b +--R + +--R 10 3 11 2 12 +--R - 190032a b - 112320a b - 26560a b +--R * +--R 9 +--R cos(x) +--R + +--R 6 7 7 6 8 5 9 4 +--R - 1232a b - 15872a b - 73120a b - 162752a b +--R + +--R 10 3 11 2 12 +--R - 190032a b - 112320a b - 26560a b +--R * +--R 8 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R 224a b + 4416a b + 28736a b + 89728a b +--R + +--R 9 4 10 3 11 2 12 +--R 152672a b + 145472a b + 73088a b + 15104a b +--R * +--R 7 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R 224a b + 4416a b + 28736a b + 89728a b +--R + +--R 9 4 10 3 11 2 12 +--R 152672a b + 145472a b + 73088a b + 15104a b +--R * +--R 6 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 +--R - 16a b - 608a b - 5824a b - 25088a b - 58768a b +--R + +--R 9 4 10 3 11 2 12 +--R - 80288a b - 64096a b - 27776a b - 5056a b +--R * +--R 5 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 +--R - 16a b - 608a b - 5824a b - 25088a b - 58768a b +--R + +--R 9 4 10 3 11 2 12 +--R - 80288a b - 64096a b - 27776a b - 5056a b +--R * +--R 4 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 +--R 32a b + 544a b + 3328a b + 10496a b + 19360a b +--R + +--R 9 4 10 3 11 2 12 +--R 21792a b + 14784a b + 5568a b + 896a b +--R * +--R 3 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 +--R 32a b + 544a b + 3328a b + 10496a b + 19360a b +--R + +--R 9 4 10 3 11 2 12 +--R 21792a b + 14784a b + 5568a b + 896a b +--R * +--R 2 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 +--R - 16a b - 160a b - 688a b - 1664a b - 2480a b +--R + +--R 9 4 10 3 11 2 12 +--R - 2336a b - 1360a b - 448a b - 64a b +--R * +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 +--R - 16a b - 160a b - 688a b - 1664a b - 2480a b +--R + +--R 9 4 10 3 11 2 12 +--R - 2336a b - 1360a b - 448a b - 64a b +--R * +--R 2 +--R cot(x) +--R + +--R 9 4 10 3 11 2 12 13 +--R (- 1024a b - 6144a b - 11264a b - 8192a b - 2048a ) +--R * +--R 17 +--R cos(x) +--R + +--R 9 4 10 3 11 2 12 13 +--R (- 1024a b - 6144a b - 11264a b - 8192a b - 2048a ) +--R * +--R 16 +--R cos(x) +--R + +--R 8 5 9 4 10 3 11 2 +--R 3584a b + 28160a b + 79360a b + 101888a b +--R + +--R 12 13 +--R 60416a b + 13312a +--R * +--R 15 +--R cos(x) +--R + +--R 8 5 9 4 10 3 11 2 +--R 3584a b + 28160a b + 79360a b + 101888a b +--R + +--R 12 13 +--R 60416a b + 13312a +--R * +--R 14 +--R cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R - 4928a b - 49664a b - 193280a b - 371456a b +--R + +--R 11 2 12 13 +--R - 374080a b - 188160a b - 36992a +--R * +--R 13 +--R cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R - 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14495784a b - 30948576a b - 36594096a b +--R + +--R 10 3 11 2 +--R - 22517568a b - 5624640a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R 2379a b + 81276a b + 916674a b + 4914300a b +--R + +--R 7 6 8 5 9 4 +--R 14410443a b + 24433920a b + 23902944a b +--R + +--R 10 3 11 2 +--R 12524544a b + 2721600a b +--R * +--R 7 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R 2379a b + 81276a b + 916674a b + 4914300a b +--R + +--R 7 6 8 5 9 4 +--R 14410443a b + 24433920a b + 23902944a b +--R + +--R 10 3 11 2 +--R 12524544a b + 2721600a b +--R * +--R 6 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R - 99a b - 6837a b - 117150a b - 873882a b +--R + +--R 6 7 7 6 8 5 +--R - 3467775a b - 8021265a b - 11183040a b +--R + +--R 9 4 10 3 11 2 +--R - 9263328a b - 4200768a b - 803520a b +--R * +--R 5 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R - 99a b - 6837a b - 117150a b - 873882a b +--R + +--R 6 7 7 6 8 5 +--R - 3467775a b - 8021265a b - 11183040a b +--R + +--R 9 4 10 3 11 2 +--R - 9263328a b - 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1544363a b - 4122862a b - 1299904a b +--R + +--R 10 3 11 2 12 +--R 5356800a b + 5644416a b + 1461504a b +--R * +--R 14 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R - 9a b - 674a b - 12671a b - 89402a b - 212695a b +--R + +--R 6 7 7 6 8 5 9 4 +--R 327866a b + 2364543a b + 3050178a b - 1809856a b +--R + +--R 10 3 11 2 12 +--R - 7066752a b - 5329536a b - 1208064a b +--R * +--R 13 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R - 9a b - 674a b - 12671a b - 89402a b - 212695a b +--R + +--R 6 7 7 6 8 5 9 4 +--R 327866a b + 2364543a b + 3050178a b - 1809856a b +--R + +--R 10 3 11 2 12 +--R - 7066752a b - 5329536a b - 1208064a b +--R * +--R 12 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R 24a b + 952a b + 11768a b + 52013a b - 2233a b +--R + +--R 6 7 7 6 8 5 9 4 +--R - 667747a b - 1758035a b - 658598a b + 3662432a b +--R + +--R 10 3 11 2 12 +--R 6092352a b + 3642240a b + 734976a b +--R * +--R 11 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R 24a b + 952a b + 11768a b + 52013a b - 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112081a b - 575936a b - 857664a b +--R + +--R 10 3 11 2 +--R - 577600a b - 149952a b +--R * +--R 6 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R a b + 4a b - 211a b - 2232a b - 6341a b +--R + +--R 6 7 7 6 8 5 9 4 +--R 8724a b + 87287a b + 205120a b + 233600a b +--R + +--R 10 3 11 2 +--R 133248a b + 30528a b +--R * +--R 5 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R a b + 4a b - 211a b - 2232a b - 6341a b +--R + +--R 6 7 7 6 8 5 9 4 +--R 8724a b + 87287a b + 205120a b + 233600a b +--R + +--R 10 3 11 2 +--R 133248a b + 30528a b +--R * +--R 4 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 +--R 2a b + 34a b + 135a b - 621a b - 6561a b +--R + +--R 7 6 8 5 9 4 10 3 +--R - 21869a b - 37456a b - 35504a b - 17728a b +--R + +--R 11 2 +--R - 3648a b +--R * +--R 3 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 +--R 2a b + 34a b + 135a b - 621a b - 6561a b +--R + +--R 7 6 8 5 9 4 10 3 +--R - 21869a b - 37456a b - 35504a b - 17728a b +--R + +--R 11 2 +--R - 3648a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R a b + 22a b + 188a b + 810a b + 1955a b + 2768a b +--R + +--R 9 4 10 3 11 2 +--R 2288a b + 1024a b + 192a b +--R * +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R a b + 22a b + 188a b + 810a b + 1955a b + 2768a b +--R + +--R 9 4 10 3 11 2 +--R 2288a b + 1024a b + 192a b +--R * +--R 2 +--R cot(x)csc(x) +--R * +--R tan(x) +--R + +--R 8 5 9 4 10 3 17 +--R (2048a b + 4096a b + 2048a b )cos(x) +--R + +--R 8 5 9 4 10 3 16 +--R (2048a b + 4096a b + 2048a b )cos(x) +--R + +--R 7 6 8 5 9 4 10 3 15 +--R (- 7168a b - 27648a b - 33792a b - 13312a b )cos(x) +--R + +--R 7 6 8 5 9 4 10 3 14 +--R (- 7168a b - 27648a b - 33792a b - 13312a b )cos(x) +--R + +--R 6 7 7 6 8 5 9 4 +--R 9856a b + 59904a b + 127232a b + 114176a b +--R + +--R 10 3 +--R 36992a b +--R * +--R 13 +--R cos(x) +--R + +--R 6 7 7 6 8 5 9 4 +--R 9856a b + 59904a b + 127232a b + 114176a b +--R + +--R 10 3 +--R 36992a b +--R * +--R 12 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R - 6784a b - 60416a b - 194560a b - 292096a b +--R + +--R 9 4 10 3 +--R - 208256a b - 57088a b +--R * +--R 11 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R - 6784a b - 60416a b - 194560a b - 292096a b +--R + +--R 9 4 10 3 +--R - 208256a b - 57088a b +--R * +--R 10 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 +--R 2464a b + 31744a b + 146240a b + 325504a b +--R + +--R 8 5 9 4 10 3 +--R 380064a b + 224640a b + 53120a b +--R * +--R 9 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 +--R 2464a b + 31744a b + 146240a b + 325504a b +--R + +--R 8 5 9 4 10 3 +--R 380064a b + 224640a b + 53120a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R - 448a b - 8832a b - 57472a b - 179456a b +--R + +--R 7 6 8 5 9 4 10 3 +--R - 305344a b - 290944a b - 146176a b - 30208a b +--R * +--R 7 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R - 448a b - 8832a b - 57472a b - 179456a b +--R + +--R 7 6 8 5 9 4 10 3 +--R - 305344a b - 290944a b - 146176a b - 30208a b +--R * +--R 6 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R 32a b + 1216a b + 11648a b + 50176a b +--R + +--R 6 7 7 6 8 5 9 4 +--R 117536a b + 160576a b + 128192a b + 55552a b +--R + +--R 10 3 +--R 10112a b +--R * +--R 5 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R 32a b + 1216a b + 11648a b + 50176a b +--R + +--R 6 7 7 6 8 5 9 4 +--R 117536a b + 160576a b + 128192a b + 55552a b +--R + +--R 10 3 +--R 10112a b +--R * +--R 4 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R - 64a b - 1088a b - 6656a b - 20992a b +--R + +--R 6 7 7 6 8 5 9 4 +--R - 38720a b - 43584a b - 29568a b - 11136a b +--R + +--R 10 3 +--R - 1792a b +--R * +--R 3 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R - 64a b - 1088a b - 6656a b - 20992a b +--R + +--R 6 7 7 6 8 5 9 4 +--R - 38720a b - 43584a b - 29568a b - 11136a b +--R + +--R 10 3 +--R - 1792a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 +--R 32a b + 320a b + 1376a b + 3328a b + 4960a b +--R + +--R 7 6 8 5 9 4 10 3 +--R 4672a b + 2720a b + 896a b + 128a b +--R * +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 +--R 32a b + 320a b + 1376a b + 3328a b + 4960a b +--R + +--R 7 6 8 5 9 4 10 3 +--R 4672a b + 2720a b + 896a b + 128a b +--R * +--R 2 +--R cot(x) +--R + +--R 9 4 10 3 11 2 17 +--R (- 3072a b - 6144a b - 3072a b )cos(x) +--R + +--R 9 4 10 3 11 2 16 +--R (- 3072a b - 6144a b - 3072a b )cos(x) +--R + +--R 8 5 9 4 10 3 11 2 15 +--R (10752a b + 41472a b + 50688a b + 19968a b )cos(x) +--R + +--R 8 5 9 4 10 3 11 2 14 +--R (10752a b + 41472a b + 50688a b + 19968a b )cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R - 14784a b - 89856a b - 190848a b - 171264a b +--R + +--R 11 2 +--R - 55488a b +--R * +--R 13 +--R cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R - 14784a b - 89856a b - 190848a b - 171264a b +--R + +--R 11 2 +--R - 55488a b +--R * +--R 12 +--R cos(x) +--R + +--R 6 7 7 6 8 5 9 4 +--R 10176a b + 90624a b + 291840a b + 438144a b +--R + +--R 10 3 11 2 +--R 312384a b + 85632a b +--R * +--R 11 +--R cos(x) +--R + +--R 6 7 7 6 8 5 9 4 +--R 10176a b + 90624a b + 291840a b + 438144a b +--R + +--R 10 3 11 2 +--R 312384a b + 85632a b +--R * +--R 10 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R - 3696a b - 47616a b - 219360a b - 488256a b +--R + +--R 9 4 10 3 11 2 +--R - 570096a b - 336960a b - 79680a b +--R * +--R 9 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R - 3696a b - 47616a b - 219360a b - 488256a b +--R + +--R 9 4 10 3 11 2 +--R - 570096a b - 336960a b - 79680a b +--R * +--R 8 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 +--R 672a b + 13248a b + 86208a b + 269184a b + 458016a b +--R + +--R 9 4 10 3 11 2 +--R 436416a b + 219264a b + 45312a b +--R * +--R 7 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 +--R 672a b + 13248a b + 86208a b + 269184a b + 458016a b +--R + +--R 9 4 10 3 11 2 +--R 436416a b + 219264a b + 45312a b +--R * +--R 6 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R - 48a b - 1824a b - 17472a b - 75264a b - 176304a b +--R + +--R 8 5 9 4 10 3 11 2 +--R - 240864a b - 192288a b - 83328a b - 15168a b +--R * +--R 5 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R - 48a b - 1824a b - 17472a b - 75264a b - 176304a b +--R + +--R 8 5 9 4 10 3 11 2 +--R - 240864a b - 192288a b - 83328a b - 15168a b +--R * +--R 4 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R 96a b + 1632a b + 9984a b + 31488a b + 58080a b +--R + +--R 8 5 9 4 10 3 11 2 +--R 65376a b + 44352a b + 16704a b + 2688a b +--R * +--R 3 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R 96a b + 1632a b + 9984a b + 31488a b + 58080a b +--R + +--R 8 5 9 4 10 3 11 2 +--R 65376a b + 44352a b + 16704a b + 2688a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R - 48a b - 480a b - 2064a b - 4992a b - 7440a b +--R + +--R 8 5 9 4 10 3 11 2 +--R - 7008a b - 4080a b - 1344a b - 192a b +--R * +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R - 48a b - 480a b - 2064a b - 4992a b - 7440a b +--R + +--R 8 5 9 4 10 3 11 2 +--R - 7008a b - 4080a b - 1344a b - 192a b +--R * +--R 2 +--R csc(x) +--R + +--R 9 4 10 3 11 2 17 +--R (1024a b + 2048a b + 1024a b )cos(x) +--R + +--R 9 4 10 3 11 2 16 +--R (1024a b + 2048a b + 1024a b )cos(x) +--R + +--R 8 5 9 4 10 3 11 2 15 +--R (- 3584a b - 13824a b - 16896a b - 6656a b )cos(x) +--R + +--R 8 5 9 4 10 3 11 2 14 +--R (- 3584a b - 13824a b - 16896a b - 6656a b )cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R 4928a b + 29952a b + 63616a b + 57088a b +--R + +--R 11 2 +--R 18496a b +--R * +--R 13 +--R cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R 4928a b + 29952a b + 63616a b + 57088a b +--R + +--R 11 2 +--R 18496a b +--R * +--R 12 +--R cos(x) +--R + +--R 6 7 7 6 8 5 9 4 +--R - 3392a b - 30208a b - 97280a b - 146048a b +--R + +--R 10 3 11 2 +--R - 104128a b - 28544a b +--R * +--R 11 +--R cos(x) +--R + +--R 6 7 7 6 8 5 9 4 +--R - 3392a b - 30208a b - 97280a b - 146048a b +--R + +--R 10 3 11 2 +--R - 104128a b - 28544a b +--R * +--R 10 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R 1232a b + 15872a b + 73120a b + 162752a b +--R + +--R 9 4 10 3 11 2 +--R 190032a b + 112320a b + 26560a b +--R * +--R 9 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R 1232a b + 15872a b + 73120a b + 162752a b +--R + +--R 9 4 10 3 11 2 +--R 190032a b + 112320a b + 26560a b +--R * +--R 8 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 +--R - 224a b - 4416a b - 28736a b - 89728a b - 152672a b +--R + +--R 9 4 10 3 11 2 +--R - 145472a b - 73088a b - 15104a b +--R * +--R 7 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 +--R - 224a b - 4416a b - 28736a b - 89728a b - 152672a b +--R + +--R 9 4 10 3 11 2 +--R - 145472a b - 73088a b - 15104a b +--R * +--R 6 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R 16a b + 608a b + 5824a b + 25088a b + 58768a b +--R + +--R 8 5 9 4 10 3 11 2 +--R 80288a b + 64096a b + 27776a b + 5056a b +--R * +--R 5 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R 16a b + 608a b + 5824a b + 25088a b + 58768a b +--R + +--R 8 5 9 4 10 3 11 2 +--R 80288a b + 64096a b + 27776a b + 5056a b +--R * +--R 4 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R - 32a b - 544a b - 3328a b - 10496a b - 19360a b +--R + +--R 8 5 9 4 10 3 11 2 +--R - 21792a b - 14784a b - 5568a b - 896a b +--R * +--R 3 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R - 32a b - 544a b - 3328a b - 10496a b - 19360a b +--R + +--R 8 5 9 4 10 3 11 2 +--R - 21792a b - 14784a b - 5568a b - 896a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R 16a b + 160a b + 688a b + 1664a b + 2480a b +--R + +--R 8 5 9 4 10 3 11 2 +--R 2336a b + 1360a b + 448a b + 64a b +--R * +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R 16a b + 160a b + 688a b + 1664a b + 2480a b + 2336a b +--R + +--R 9 4 10 3 11 2 +--R 1360a b + 448a b + 64a b +--R * +--R 2 +--R cot(x) +--R + +--R 10 3 11 2 12 17 +--R (- 1024a b - 2048a b - 1024a b)cos(x) +--R + +--R 10 3 11 2 12 16 +--R (- 1024a b - 2048a b - 1024a b)cos(x) +--R + +--R 9 4 10 3 11 2 12 15 +--R (3584a b + 13824a b + 16896a b + 6656a b)cos(x) +--R + +--R 9 4 10 3 11 2 12 14 +--R (3584a b + 13824a b + 16896a b + 6656a b)cos(x) +--R + +--R 8 5 9 4 10 3 11 2 12 +--R (- 4928a b - 29952a b - 63616a b - 57088a b - 18496a b) +--R * +--R 13 +--R cos(x) +--R + +--R 8 5 9 4 10 3 11 2 12 +--R (- 4928a b - 29952a b - 63616a b - 57088a b - 18496a b) +--R * +--R 12 +--R cos(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 +--R 3392a b + 30208a b + 97280a b + 146048a b + 104128a b +--R + +--R 12 +--R 28544a b +--R * +--R 11 +--R cos(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 +--R 3392a b + 30208a b + 97280a b + 146048a b + 104128a b +--R + +--R 12 +--R 28544a b +--R * +--R 10 +--R cos(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 +--R - 1232a b - 15872a b - 73120a b - 162752a b - 190032a b +--R + +--R 11 2 12 +--R - 112320a b - 26560a b +--R * +--R 9 +--R cos(x) +--R + +--R 6 7 7 6 8 5 9 4 10 3 +--R - 1232a b - 15872a b - 73120a b - 162752a b - 190032a b +--R + +--R 11 2 12 +--R - 112320a b - 26560a b +--R * +--R 8 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 +--R 224a b + 4416a b + 28736a b + 89728a b + 152672a b +--R + +--R 10 3 11 2 12 +--R 145472a b + 73088a b + 15104a b +--R * +--R 7 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 +--R 224a b + 4416a b + 28736a b + 89728a b + 152672a b +--R + +--R 10 3 11 2 12 +--R 145472a b + 73088a b + 15104a b +--R * +--R 6 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 +--R - 16a b - 608a b - 5824a b - 25088a b - 58768a b +--R + +--R 9 4 10 3 11 2 12 +--R - 80288a b - 64096a b - 27776a b - 5056a b +--R * +--R 5 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 +--R - 16a b - 608a b - 5824a b - 25088a b - 58768a b +--R + +--R 9 4 10 3 11 2 12 +--R - 80288a b - 64096a b - 27776a b - 5056a b +--R * +--R 4 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 +--R 32a b + 544a b + 3328a b + 10496a b + 19360a b +--R + +--R 9 4 10 3 11 2 12 +--R 21792a b + 14784a b + 5568a b + 896a b +--R * +--R 3 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 +--R 32a b + 544a b + 3328a b + 10496a b + 19360a b +--R + +--R 9 4 10 3 11 2 12 +--R 21792a b + 14784a b + 5568a b + 896a b +--R * +--R 2 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 16a b - 160a b - 688a b - 1664a b - 2480a b - 2336a b +--R + +--R 10 3 11 2 12 +--R - 1360a b - 448a b - 64a b +--R * +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 16a b - 160a b - 688a b - 1664a b - 2480a b - 2336a b +--R + +--R 10 3 11 2 12 +--R - 1360a b - 448a b - 64a b +--R * +--R 10 +--R sin(x) +--R + +--R 8 5 9 4 10 3 19 +--R (- 26624a b - 110592a b - 92160a b )cos(x) +--R + +--R 8 5 9 4 10 3 18 +--R (- 26624a b - 110592a b - 92160a b )cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R (103424a b + 644096a b + 1207296a b + 691200a b ) +--R * +--R 17 +--R cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R (103424a b + 644096a b + 1207296a b + 691200a b ) +--R * +--R 16 +--R cos(x) +--R + +--R 6 7 7 6 8 5 +--R - 161920a b - 1404416a b - 4207872a b +--R + +--R 9 4 10 3 +--R - 5202432a b - 2263680a b +--R * +--R 15 +--R cos(x) +--R + +--R 6 7 7 6 8 5 +--R - 161920a b - 1404416a b - 4207872a b +--R + +--R 9 4 10 3 +--R - 5202432a b - 2263680a b +--R * +--R 14 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R 130688a b + 1533312a b + 6581504a b + 13050112a b +--R + +--R 9 4 10 3 +--R 12092544a b + 4233600a b +--R * +--R 13 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R 130688a b + 1533312a b + 6581504a b + 13050112a b +--R + +--R 9 4 10 3 +--R 12092544a b + 4233600a b +--R * +--R 12 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 +--R - 57792a b - 917952a b - 5410912a b - 15450752a b +--R + +--R 8 5 9 4 10 3 +--R - 22920864a b - 16978176a b - 4959360a b +--R * +--R 11 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 +--R - 57792a b - 917952a b - 5410912a b - 15450752a b +--R + +--R 8 5 9 4 10 3 +--R - 22920864a b - 16978176a b - 4959360a b +--R * +--R 10 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R 13744a b + 305456a b + 2457296a b + 9663856a b +--R + +--R 7 6 8 5 9 4 +--R 20632384a b + 24396064a b + 15011712a b +--R + +--R 10 3 +--R 3749760a b +--R * +--R 9 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R 13744a b + 305456a b + 2457296a b + 9663856a b +--R + +--R 7 6 8 5 9 4 +--R 20632384a b + 24396064a b + 15011712a b +--R + +--R 10 3 +--R 3749760a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R - 1586a b - 54184a b - 611116a b - 3276200a b +--R + +--R 6 7 7 6 8 5 +--R - 9606962a b - 16289280a b - 15935296a b +--R + +--R 9 4 10 3 +--R - 8349696a b - 1814400a b +--R * +--R 7 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R - 1586a b - 54184a b - 611116a b - 3276200a b +--R + +--R 6 7 7 6 8 5 +--R - 9606962a b - 16289280a b - 15935296a b +--R + +--R 9 4 10 3 +--R - 8349696a b - 1814400a b +--R * +--R 6 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 +--R 66a b + 4558a b + 78100a b + 582588a b +--R + +--R 5 8 6 7 7 6 8 5 +--R 2311850a b + 5347510a b + 7455360a b + 6175552a b +--R + +--R 9 4 10 3 +--R 2800512a b + 535680a b +--R * +--R 5 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 +--R 66a b + 4558a b + 78100a b + 582588a b +--R + +--R 5 8 6 7 7 6 8 5 +--R 2311850a b + 5347510a b + 7455360a b + 6175552a b +--R + +--R 9 4 10 3 +--R 2800512a b + 535680a b +--R * +--R 4 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 +--R - 132a b - 4358a b - 48624a b - 264692a b +--R + +--R 5 8 6 7 7 6 +--R - 818652a b - 1541430a b - 1804160a b +--R + +--R 8 5 9 4 10 3 +--R - 1283872a b - 509184a b - 86400a b +--R * +--R 3 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 +--R - 132a b - 4358a b - 48624a b - 264692a b +--R + +--R 5 8 6 7 7 6 +--R - 818652a b - 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33a b - 2279a b - 39050a b - 291294a b - 1155925a b +--R + +--R 8 5 9 4 10 3 11 2 +--R - 2673755a b - 3727680a b - 3087776a b - 1400256a b +--R + +--R 12 +--R - 267840a b +--R * +--R 5 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R - 33a b - 2279a b - 39050a b - 291294a b - 1155925a b +--R + +--R 8 5 9 4 10 3 11 2 +--R - 2673755a b - 3727680a b - 3087776a b - 1400256a b +--R + +--R 12 +--R - 267840a b +--R * +--R 4 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R 66a b + 2179a b + 24312a b + 132346a b + 409326a b +--R + +--R 8 5 9 4 10 3 11 2 12 +--R 770715a b + 902080a b + 641936a b + 254592a b + 43200a b +--R * +--R 3 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R 66a b + 2179a b + 24312a b + 132346a b + 409326a b +--R + +--R 8 5 9 4 10 3 11 2 12 +--R 770715a b + 902080a b + 641936a b + 254592a b + 43200a b +--R * +--R 2 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R - 33a b - 693a b - 5482a b - 22778a b - 56485a b +--R + +--R 8 5 9 4 10 3 11 2 12 +--R - 88273a b - 87968a b - 54352a b - 19008a b - 2880a b +--R * +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R - 33a b - 693a b - 5482a b - 22778a b - 56485a b +--R + +--R 8 5 9 4 10 3 11 2 12 +--R - 88273a b - 87968a b - 54352a b - 19008a b - 2880a b +--R * +--R 8 +--R sin(x) +--R + +--R 8 5 9 4 10 3 21 +--R (- 28672a b + 172032a b + 430080a b )cos(x) +--R + +--R 8 5 9 4 10 3 20 +--R (- 28672a b + 172032a b + 430080a b )cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R (100352a b - 587776a b - 3483648a b - 3655680a b ) +--R * +--R 19 +--R cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R (100352a b - 587776a b - 3483648a b - 3655680a b ) +--R * +--R 18 +--R cos(x) +--R + +--R 6 7 7 6 8 5 +--R - 135936a b + 896000a b + 9314816a b +--R + +--R 9 4 10 3 +--R 20794368a b + 13789440a b +--R * +--R 17 +--R cos(x) +--R + +--R 6 7 7 6 8 5 +--R - 135936a b + 896000a b + 9314816a b +--R + +--R 9 4 10 3 +--R 20794368a b + 13789440a b +--R * +--R 16 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R 88832a b - 842240a b - 12601344a b - 44939776a b +--R + +--R 9 4 10 3 +--R - 62635776a b - 30320640a b +--R * +--R 15 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R 88832a b - 842240a b - 12601344a b - 44939776a b +--R + +--R 9 4 10 3 +--R - 62635776a b - 30320640a b +--R * +--R 14 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 +--R - 28096a b + 534400a b + 9911168a b + 50168832a b +--R + +--R 8 5 9 4 10 3 +--R 111001408a b + 112707840a b + 42900480a b +--R * +--R 13 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 +--R - 28096a b + 534400a b + 9911168a b + 50168832a b +--R + +--R 8 5 9 4 10 3 +--R 111001408a b + 112707840a b + 42900480a b +--R * +--R 12 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R 3488a b - 216320a b - 4699424a b - 31964224a b +--R + +--R 7 6 8 5 9 4 +--R - 100880192a b - 162617728a b - 129792768a b +--R + +--R 10 3 +--R - 40642560a b +--R * +--R 11 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R 3488a b - 216320a b - 4699424a b - 31964224a b +--R + +--R 7 6 8 5 9 4 +--R - 100880192a b - 162617728a b - 129792768a b +--R + +--R 10 3 +--R - 40642560a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R 72a b + 49280a b + 1307712a b + 11837536a b +--R + +--R 6 7 7 6 8 5 +--R 50971480a b + 117551168a b + 149003456a b +--R + +--R 9 4 10 3 +--R 97805568a b + 25966080a b +--R * +--R 9 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R 72a b + 49280a b + 1307712a b + 11837536a b +--R + +--R 6 7 7 6 8 5 +--R 50971480a b + 117551168a b + 149003456a b +--R + +--R 9 4 10 3 +--R 97805568a b + 25966080a b +--R * +--R 8 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 +--R - 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4b - 368a b - 12108a b - 147276a b +--R + +--R 4 9 5 8 6 7 +--R - 875008a b - 2934900a b - 5955488a b +--R + +--R 7 6 8 5 9 4 10 3 +--R - 7472192a b - 5674368a b - 2392320a b - 430080a b +--R * +--R 3 +--R cos(x) +--R + +--R 13 12 2 11 3 10 +--R - 4b - 368a b - 12108a b - 147276a b +--R + +--R 4 9 5 8 6 7 +--R - 875008a b - 2934900a b - 5955488a b +--R + +--R 7 6 8 5 9 4 10 3 +--R - 7472192a b - 5674368a b - 2392320a b - 430080a b +--R * +--R 2 +--R cos(x) +--R + +--R 13 12 2 11 3 10 4 9 +--R 2b + 164a b + 3412a b + 29520a b + 135106a b +--R + +--R 5 8 6 7 7 6 8 5 +--R 366972a b + 623704a b + 671552a b + 445760a b +--R + +--R 9 4 10 3 +--R 166656a b + 26880a b +--R * +--R cos(x) +--R + +--R 13 12 2 11 3 10 4 9 +--R 2b + 164a b + 3412a b + 29520a b + 135106a b +--R + +--R 5 8 6 7 7 6 8 5 +--R 366972a b + 623704a b + 671552a b + 445760a b +--R + +--R 9 4 10 3 +--R 166656a b + 26880a b +--R * +--R 2 +--R cot(x) +--R + +--R 9 4 10 3 11 2 21 +--R (43008a b - 258048a b - 645120a b )cos(x) +--R + +--R 9 4 10 3 11 2 20 +--R (43008a b - 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76457220a b - 176326752a b - 223505184a b +--R + +--R 10 3 11 2 +--R - 146708352a b - 38949120a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R 60a b + 8142a b + 295890a b + 3688314a b +--R + +--R 6 7 7 6 8 5 +--R 21539274a b + 68064336a b + 123506880a b +--R + +--R 9 4 10 3 11 2 +--R 128682624a b + 71551872a b + 16450560a b +--R * +--R 7 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R 60a b + 8142a b + 295890a b + 3688314a b +--R + +--R 6 7 7 6 8 5 +--R 21539274a b + 68064336a b + 123506880a b +--R + +--R 9 4 10 3 11 2 +--R 128682624a b + 71551872a b + 16450560a b +--R * +--R 6 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 +--R - 3a b - 366a b - 21078a b - 393372a b +--R + +--R 5 8 6 7 7 6 +--R - 3203223a b - 13749150a b - 34151640a b +--R + +--R 8 5 9 4 10 3 +--R - 50855616a b - 44806944a b - 21538944a b +--R + +--R 11 2 +--R - 4354560a b +--R * +--R 5 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 +--R - 3a b - 366a b - 21078a b - 393372a b +--R + +--R 5 8 6 7 7 6 +--R - 3203223a b - 13749150a b - 34151640a b +--R + +--R 8 5 9 4 10 3 +--R - 50855616a b - 44806944a b - 21538944a b +--R + +--R 11 2 +--R - 4354560a b +--R * +--R 4 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R 6a b + 552a b + 18162a b + 220914a b + 1312512a b +--R + +--R 6 7 7 6 8 5 9 4 +--R 4402350a b + 8933232a b + 11208288a b + 8511552a b +--R + +--R 10 3 11 2 +--R 3588480a b + 645120a b +--R * +--R 3 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R 6a b + 552a b + 18162a b + 220914a b + 1312512a b +--R + +--R 6 7 7 6 8 5 9 4 +--R 4402350a b + 8933232a b + 11208288a b + 8511552a b +--R + +--R 10 3 11 2 +--R 3588480a b + 645120a b +--R * +--R 2 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R - 3a b - 246a b - 5118a b - 44280a b - 202659a b +--R + +--R 6 7 7 6 8 5 9 4 +--R - 550458a b - 935556a b - 1007328a b - 668640a b +--R + +--R 10 3 11 2 +--R - 249984a b - 40320a b +--R * +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R - 3a b - 246a b - 5118a b - 44280a b - 202659a b +--R + +--R 6 7 7 6 8 5 9 4 +--R - 550458a b - 935556a b - 1007328a b - 668640a b +--R + +--R 10 3 11 2 +--R - 249984a b - 40320a b +--R * +--R 2 +--R csc(x) +--R + +--R 9 4 10 3 11 2 21 +--R (- 14336a b + 86016a b + 215040a b )cos(x) +--R + +--R 9 4 10 3 11 2 20 +--R (- 14336a b + 86016a b + 215040a b )cos(x) +--R + +--R 8 5 9 4 10 3 11 2 +--R (50176a b - 293888a b - 1741824a b - 1827840a b ) +--R * +--R 19 +--R cos(x) +--R + +--R 8 5 9 4 10 3 11 2 +--R (50176a b - 293888a b - 1741824a b - 1827840a b ) +--R * +--R 18 +--R cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R - 67968a b + 448000a b + 4657408a b + 10397184a b +--R + +--R 11 2 +--R 6894720a b +--R * +--R 17 +--R cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R - 67968a b + 448000a b + 4657408a b + 10397184a b +--R + +--R 11 2 +--R 6894720a b +--R * +--R 16 +--R cos(x) +--R + +--R 6 7 7 6 8 5 9 4 +--R 44416a b - 421120a b - 6300672a b - 22469888a b +--R + +--R 10 3 11 2 +--R - 31317888a b - 15160320a b +--R * +--R 15 +--R cos(x) +--R + +--R 6 7 7 6 8 5 9 4 +--R 44416a b - 421120a b - 6300672a b - 22469888a b +--R + +--R 10 3 11 2 +--R - 31317888a b - 15160320a b +--R * +--R 14 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R - 14048a b + 267200a b + 4955584a b + 25084416a b +--R + +--R 9 4 10 3 11 2 +--R 55500704a b + 56353920a b + 21450240a b +--R * +--R 13 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R - 14048a b + 267200a b + 4955584a b + 25084416a b +--R + +--R 9 4 10 3 11 2 +--R 55500704a b + 56353920a b + 21450240a b +--R * +--R 12 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 +--R 1744a b - 108160a b - 2349712a b - 15982112a b +--R + +--R 8 5 9 4 10 3 +--R - 50440096a b - 81308864a b - 64896384a b +--R + +--R 11 2 +--R - 20321280a b +--R * +--R 11 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 +--R 1744a b - 108160a b - 2349712a b - 15982112a b +--R + +--R 8 5 9 4 10 3 +--R - 50440096a b - 81308864a b - 64896384a b +--R + +--R 11 2 +--R - 20321280a b +--R * +--R 10 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R 36a b + 24640a b + 653856a b + 5918768a b +--R + +--R 7 6 8 5 9 4 +--R 25485740a b + 58775584a b + 74501728a b +--R + +--R 10 3 11 2 +--R 48902784a b + 12983040a b +--R * +--R 9 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R 36a b + 24640a b + 653856a b + 5918768a b +--R + +--R 7 6 8 5 9 4 +--R 25485740a b + 58775584a b + 74501728a b +--R + +--R 10 3 11 2 +--R 48902784a b + 12983040a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R - 20a b - 2714a b - 98630a b - 1229438a b +--R + +--R 6 7 7 6 8 5 +--R - 7179758a b - 22688112a b - 41168960a b +--R + +--R 9 4 10 3 11 2 +--R - 42894208a b - 23850624a b - 5483520a b +--R * +--R 7 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R - 20a b - 2714a b - 98630a b - 1229438a b +--R + +--R 6 7 7 6 8 5 +--R - 7179758a b - 22688112a b - 41168960a b +--R + +--R 9 4 10 3 11 2 +--R - 42894208a b - 23850624a b - 5483520a b +--R * +--R 6 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R a b + 122a b + 7026a b + 131124a b + 1067741a b +--R + +--R 6 7 7 6 8 5 9 4 +--R 4583050a b + 11383880a b + 16951872a b + 14935648a b +--R + +--R 10 3 11 2 +--R 7179648a b + 1451520a b +--R * +--R 5 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R a b + 122a b + 7026a b + 131124a b + 1067741a b +--R + +--R 6 7 7 6 8 5 9 4 +--R 4583050a b + 11383880a b + 16951872a b + 14935648a b +--R + +--R 10 3 11 2 +--R 7179648a b + 1451520a b +--R * +--R 4 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R - 2a b - 184a b - 6054a b - 73638a b - 437504a b +--R + +--R 6 7 7 6 8 5 9 4 +--R - 1467450a b - 2977744a b - 3736096a b - 2837184a b +--R + +--R 10 3 11 2 +--R - 1196160a b - 215040a b +--R * +--R 3 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R - 2a b - 184a b - 6054a b - 73638a b - 437504a b +--R + +--R 6 7 7 6 8 5 9 4 +--R - 1467450a b - 2977744a b - 3736096a b - 2837184a b +--R + +--R 10 3 11 2 +--R - 1196160a b - 215040a b +--R * +--R 2 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R a b + 82a b + 1706a b + 14760a b + 67553a b +--R + +--R 6 7 7 6 8 5 9 4 +--R 183486a b + 311852a b + 335776a b + 222880a b +--R + +--R 10 3 11 2 +--R 83328a b + 13440a b +--R * +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R a b + 82a b + 1706a b + 14760a b + 67553a b +--R + +--R 6 7 7 6 8 5 9 4 +--R 183486a b + 311852a b + 335776a b + 222880a b +--R + +--R 10 3 11 2 +--R 83328a b + 13440a b +--R * +--R 2 +--R cot(x) +--R + +--R 10 3 11 2 12 21 +--R (14336a b - 86016a b - 215040a b)cos(x) +--R + +--R 10 3 11 2 12 20 +--R (14336a b - 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502512a b + 527424a b + 652608a b +--R * +--R 17 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 +--R 1288a b + 22392a b + 95992a b + 20024a b - 490816a b +--R + +--R 9 4 10 3 11 2 +--R - 502512a b + 527424a b + 652608a b +--R * +--R 16 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R - 177a b - 5620a b - 44190a b - 83364a b + 200343a b +--R + +--R 8 5 9 4 10 3 11 2 +--R 709376a b + 175296a b - 995328a b - 730752a b +--R * +--R 15 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R - 177a b - 5620a b - 44190a b - 83364a b + 200343a b +--R + +--R 8 5 9 4 10 3 11 2 +--R 709376a b + 175296a b - 995328a b - 730752a b +--R * +--R 14 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 +--R 9a b + 629a b + 9508a b + 40604a b - 9341a b +--R + +--R 7 6 8 5 9 4 10 3 +--R - 362369a b - 534016a b + 344640a b + 1154688a b +--R + +--R 11 2 +--R 604032a b +--R * +--R 13 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 +--R 9a b + 629a b + 9508a b + 40604a b - 9341a b +--R + +--R 7 6 8 5 9 4 10 3 +--R - 362369a b - 534016a b + 344640a b + 1154688a b +--R + +--R 11 2 +--R 604032a b +--R * +--R 12 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 +--R - 24a b - 832a b - 7560a b - 12549a b + 80098a b +--R + +--R 7 6 8 5 9 4 10 3 +--R 292355a b + 136064a b - 606432a b - 902400a b +--R + +--R 11 2 +--R - 367488a b +--R * +--R 11 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 +--R - 24a b - 832a b - 7560a b - 12549a b + 80098a b +--R + +--R 7 6 8 5 9 4 10 3 +--R 292355a b + 136064a b - 606432a b - 902400a b +--R + +--R 11 2 +--R - 367488a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 +--R 22a b + 490a b + 2481a b - 6657a b - 66363a b +--R + +--R 7 6 8 5 9 4 10 3 +--R - 108885a b + 109184a b + 483040a b + 484480a b +--R + +--R 11 2 +--R 161920a b +--R * +--R 9 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 +--R 22a b + 490a b + 2481a b - 6657a b - 66363a b +--R + +--R 7 6 8 5 9 4 10 3 +--R - 108885a b + 109184a b + 483040a b + 484480a b +--R + +--R 11 2 +--R 161920a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 +--R - 8a b - 113a b + 88a b + 6368a b + 22408a b +--R + +--R 7 6 8 5 9 4 10 3 11 2 +--R 1381a b - 116224a b - 227264a b - 175872a b - 49984a b +--R * +--R 7 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 +--R - 8a b - 113a b + 88a b + 6368a b + 22408a b +--R + +--R 7 6 8 5 9 4 10 3 11 2 +--R 1381a b - 116224a b - 227264a b - 175872a b - 49984a b +--R * +--R 6 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 +--R a b + a b - 214a b - 1590a b - 1571a b + 13437a b +--R + +--R 8 5 9 4 10 3 11 2 +--R 46976a b + 64192a b + 41024a b + 10176a b +--R * +--R 5 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 6 7 7 6 +--R a b + a b - 214a b - 1590a b - 1571a b + 13437a b +--R + +--R 8 5 9 4 10 3 11 2 +--R 46976a b + 64192a b + 41024a b + 10176a b +--R * +--R 4 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R 2a b + 28a b + 51a b - 774a b - 4239a b - 9152a b +--R + +--R 9 4 10 3 11 2 +--R - 10000a b - 5504a b - 1216a b +--R * +--R 3 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R 2a b + 28a b + 51a b - 774a b - 4239a b - 9152a b +--R + +--R 9 4 10 3 11 2 +--R - 10000a b - 5504a b - 1216a b +--R * +--R 2 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R a b + 19a b + 131a b + 417a b + 704a b + 656a b +--R + +--R 10 3 11 2 +--R 320a b + 64a b +--R * +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 10 3 +--R a b + 19a b + 131a b + 417a b + 704a b + 656a b + 320a b +--R + +--R 11 2 +--R 64a b +--R * +--R 2 +--R cot(x) +--R + +--R 10 3 11 2 12 27 +--R (1024a b - 2048a b + 1024a b)cos(x) +--R + +--R 10 3 11 2 12 26 +--R (1024a b - 2048a b + 1024a b)cos(x) +--R + +--R 9 4 10 3 11 2 12 25 +--R (- 4608a b - 512a b + 16896a b - 11776a b)cos(x) +--R + +--R 9 4 10 3 11 2 12 24 +--R (- 4608a b - 512a b + 16896a b - 11776a b)cos(x) +--R + +--R 8 5 9 4 10 3 11 2 12 23 +--R (8512a b + 22272a b - 37760a b - 54016a b + 62016a b)cos(x) +--R + +--R 8 5 9 4 10 3 11 2 12 22 +--R (8512a b + 22272a b - 37760a b - 54016a b + 62016a b)cos(x) +--R + +--R 7 6 8 5 9 4 10 3 11 2 +--R - 8256a b - 47808a b - 11392a b + 189824a b + 61120a b +--R + +--R 12 +--R - 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709376a b - 175296a b + 995328a b + 730752a b +--R * +--R 15 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 +--R 177a b + 5620a b + 44190a b + 83364a b - 200343a b +--R + +--R 9 4 10 3 11 2 12 +--R - 709376a b - 175296a b + 995328a b + 730752a b +--R * +--R 14 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R - 9a b - 629a b - 9508a b - 40604a b + 9341a b + 362369a b +--R + +--R 9 4 10 3 11 2 12 +--R 534016a b - 344640a b - 1154688a b - 604032a b +--R * +--R 13 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R - 9a b - 629a b - 9508a b - 40604a b + 9341a b + 362369a b +--R + +--R 9 4 10 3 11 2 12 +--R 534016a b - 344640a b - 1154688a b - 604032a b +--R * +--R 12 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R 24a b + 832a b + 7560a b + 12549a b - 80098a b - 292355a b +--R + +--R 9 4 10 3 11 2 12 +--R - 136064a b + 606432a b + 902400a b + 367488a b +--R * +--R 11 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R 24a b + 832a b + 7560a b + 12549a b - 80098a b - 292355a b +--R + +--R 9 4 10 3 11 2 12 +--R - 136064a b + 606432a b + 902400a b + 367488a b +--R * +--R 10 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R - 22a b - 490a b - 2481a b + 6657a b + 66363a b +--R + +--R 8 5 9 4 10 3 11 2 12 +--R 108885a b - 109184a b - 483040a b - 484480a b - 161920a b +--R * +--R 9 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 +--R - 22a b - 490a b - 2481a b + 6657a b + 66363a b +--R + +--R 8 5 9 4 10 3 11 2 12 +--R 108885a b - 109184a b - 483040a b - 484480a b - 161920a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R 8a b + 113a b - 88a b - 6368a b - 22408a b - 1381a b +--R + +--R 9 4 10 3 11 2 12 +--R 116224a b + 227264a b + 175872a b + 49984a b +--R * +--R 7 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R 8a b + 113a b - 88a b - 6368a b - 22408a b - 1381a b +--R + +--R 9 4 10 3 11 2 12 +--R 116224a b + 227264a b + 175872a b + 49984a b +--R * +--R 6 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R - a b - a b + 214a b + 1590a b + 1571a b - 13437a b +--R + +--R 9 4 10 3 11 2 12 +--R - 46976a b - 64192a b - 41024a b - 10176a b +--R * +--R 5 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 7 6 8 5 +--R - a b - a b + 214a b + 1590a b + 1571a b - 13437a b +--R + +--R 9 4 10 3 11 2 12 +--R - 46976a b - 64192a b - 41024a b - 10176a b +--R * +--R 4 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 2a b - 28a b - 51a b + 774a b + 4239a b + 9152a b +--R + +--R 10 3 11 2 12 +--R 10000a b + 5504a b + 1216a b +--R * +--R 3 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 8 5 9 4 +--R - 2a b - 28a b - 51a b + 774a b + 4239a b + 9152a b +--R + +--R 10 3 11 2 12 +--R 10000a b + 5504a b + 1216a b +--R * +--R 2 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 +--R - a b - 19a b - 131a b - 417a b - 704a b - 656a b +--R + +--R 11 2 12 +--R - 320a b - 64a b +--R * +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 9 4 10 3 11 2 +--R - a b - 19a b - 131a b - 417a b - 704a b - 656a b - 320a b +--R + +--R 12 +--R - 64a b +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 8 5 9 4 10 3 18 +--R (- 24576a b - 65536a b - 40960a b )cos(x) +--R + +--R 7 6 8 5 9 4 +--R 102400a b + 462848a b + 667648a b +--R + +--R 10 3 +--R 307200a b +--R * +--R 16 +--R cos(x) +--R + +--R 6 7 7 6 8 5 +--R - 173568a b - 1157120a b - 2746368a b +--R + +--R 9 4 10 3 +--R - 2768896a b - 1006080a b +--R * +--R 14 +--R cos(x) +--R + +--R 5 8 6 7 7 6 +--R 153856a b + 1427456a b + 4936192a b +--R + +--R 8 5 9 4 10 3 +--R 8062464a b + 6281472a b + 1881600a b +--R * +--R 12 +--R cos(x) +--R + +--R 4 9 5 8 6 7 +--R - 76352a b - 968704a b - 4627072a b +--R + +--R 7 6 8 5 9 4 +--R - 10921984a b - 13655872a b - 8672768a b +--R + +--R 10 3 +--R - 2204160a b +--R * +--R 10 +--R cos(x) +--R + +--R 3 10 4 9 5 8 +--R 21024a b + 371392a b + 2408128a b +--R + +--R 6 7 7 6 8 5 +--R 7797760a b + 13993760a b + 14162496a b +--R + +--R 9 4 10 3 +--R 7575296a b + 1666560a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 11 3 10 4 9 +--R - 2944a b - 78208a b - 697984a b +--R + +--R 5 8 6 7 7 6 +--R - 3040768a b - 7427968a b - 10714240a b +--R + +--R 8 5 9 4 10 3 +--R - 9072768a b - 4174848a b - 806400a b +--R * +--R 6 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 +--R 160a b + 8192a b + 107136a b + 633088a b +--R + +--R 5 8 6 7 7 6 +--R 2057248a b + 4001152a b + 4789440a b +--R + +--R 8 5 9 4 10 3 +--R 3463808a b + 1390336a b + 238080a b +--R * +--R 4 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 +--R - 320a b - 7552a b - 63744a b - 276032a b +--R + +--R 5 8 6 7 7 6 +--R - 704320a b - 1123840a b - 1137792a b +--R + +--R 8 5 9 4 10 3 +--R - 711744a b - 251392a b - 38400a b +--R * +--R 2 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 +--R 160a b + 2304a b + 13792a b + 45888a b +--R + +--R 5 8 6 7 7 6 8 5 +--R 94560a b + 126080a b + 109344a b + 59712a b +--R + +--R 9 4 10 3 +--R 18688a b + 2560a b +--R * +--R 2 +--R cot(x) +--R + +--R 8 5 9 4 10 3 18 +--R (- 12288a b - 32768a b - 20480a b )cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R (51200a b + 231424a b + 333824a b + 153600a b ) +--R * +--R 16 +--R cos(x) +--R + +--R 6 7 7 6 8 5 9 4 +--R - 86784a b - 578560a b - 1373184a b - 1384448a b +--R + +--R 10 3 +--R - 503040a b +--R * +--R 14 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R 76928a b + 713728a b + 2468096a b + 4031232a b +--R + +--R 9 4 10 3 +--R 3140736a b + 940800a b +--R * +--R 12 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 +--R - 38176a b - 484352a b - 2313536a b - 5460992a b +--R + +--R 8 5 9 4 10 3 +--R - 6827936a b - 4336384a b - 1102080a b +--R * +--R 10 +--R cos(x) +--R + +--R 3 10 4 9 5 8 6 7 +--R 10512a b + 185696a b + 1204064a b + 3898880a b +--R + +--R 7 6 8 5 9 4 10 3 +--R 6996880a b + 7081248a b + 3787648a b + 833280a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R - 1472a b - 39104a b - 348992a b - 1520384a b +--R + +--R 6 7 7 6 8 5 +--R - 3713984a b - 5357120a b - 4536384a b +--R + +--R 9 4 10 3 +--R - 2087424a b - 403200a b +--R * +--R 6 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 +--R 80a b + 4096a b + 53568a b + 316544a b +--R + +--R 5 8 6 7 7 6 8 5 +--R 1028624a b + 2000576a b + 2394720a b + 1731904a b +--R + +--R 9 4 10 3 +--R 695168a b + 119040a b +--R * +--R 4 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 +--R - 160a b - 3776a b - 31872a b - 138016a b +--R + +--R 5 8 6 7 7 6 8 5 +--R - 352160a b - 561920a b - 568896a b - 355872a b +--R + +--R 9 4 10 3 +--R - 125696a b - 19200a b +--R * +--R 2 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 5 8 +--R 80a b + 1152a b + 6896a b + 22944a b + 47280a b +--R + +--R 6 7 7 6 8 5 9 4 10 3 +--R 63040a b + 54672a b + 29856a b + 9344a b + 1280a b +--R * +--R 4 +--R csc(x) +--R + +--R 9 4 10 3 11 2 18 +--R (- 36864a b - 98304a b - 61440a b )cos(x) +--R + +--R 8 5 9 4 10 3 +--R 153600a b + 694272a b + 1001472a b +--R + +--R 11 2 +--R 460800a b +--R * +--R 16 +--R cos(x) +--R + +--R 7 6 8 5 9 4 +--R - 260352a b - 1735680a b - 4119552a b +--R + +--R 10 3 11 2 +--R - 4153344a b - 1509120a b +--R * +--R 14 +--R cos(x) +--R + +--R 6 7 7 6 8 5 +--R 230784a b + 2141184a b + 7404288a b +--R + +--R 9 4 10 3 11 2 +--R 12093696a b + 9422208a b + 2822400a b +--R * +--R 12 +--R cos(x) +--R + +--R 5 8 6 7 7 6 +--R - 114528a b - 1453056a b - 6940608a b +--R + +--R 8 5 9 4 10 3 +--R - 16382976a b - 20483808a b - 13009152a b +--R + +--R 11 2 +--R - 3306240a b +--R * +--R 10 +--R cos(x) +--R + +--R 4 9 5 8 6 7 +--R 31536a b + 557088a b + 3612192a b +--R + +--R 7 6 8 5 9 4 +--R 11696640a b + 20990640a b + 21243744a b +--R + +--R 10 3 11 2 +--R 11362944a b + 2499840a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 10 4 9 5 8 +--R - 4416a b - 117312a b - 1046976a b +--R + +--R 6 7 7 6 8 5 +--R - 4561152a b - 11141952a b - 16071360a b +--R + +--R 9 4 10 3 11 2 +--R - 13609152a b - 6262272a b - 1209600a b +--R * +--R 6 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R 240a b + 12288a b + 160704a b + 949632a b +--R + +--R 6 7 7 6 8 5 +--R 3085872a b + 6001728a b + 7184160a b +--R + +--R 9 4 10 3 11 2 +--R 5195712a b + 2085504a b + 357120a b +--R * +--R 4 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R - 480a b - 11328a b - 95616a b - 414048a b +--R + +--R 6 7 7 6 8 5 +--R - 1056480a b - 1685760a b - 1706688a b +--R + +--R 9 4 10 3 11 2 +--R - 1067616a b - 377088a b - 57600a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 11 3 10 4 9 5 8 +--R 240a b + 3456a b + 20688a b + 68832a b +--R + +--R 6 7 7 6 8 5 9 4 +--R 141840a b + 189120a b + 164016a b + 89568a b +--R + +--R 10 3 11 2 +--R 28032a b + 3840a b +--R * +--R 2 +--R cot(x) +--R + +--R 8 5 9 4 10 3 11 2 +--R - 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217487360a b +--R + +--R 8 5 9 4 10 3 +--R - 228684032a b - 128185344a b - 29675520a b +--R * +--R 8 +--R cos(x) +--R + +--R 12 2 11 3 10 4 9 +--R 1352a b + 69792a b + 1186544a b + 9308832a b +--R + +--R 5 8 6 7 7 6 +--R 39421064a b + 97553792a b + 145318912a b +--R + +--R 8 5 9 4 10 3 +--R 128291840a b + 61830144a b + 12533760a b +--R * +--R 6 +--R cos(x) +--R + +--R 13 12 2 11 3 10 +--R - 40b - 4216a b - 112080a b - 1238256a b +--R + +--R 4 9 5 8 6 7 +--R - 7041352a b - 23116184a b - 46395584a b +--R + +--R 7 6 8 5 9 4 +--R - 57884160a b - 43835648a b - 18459648a b +--R + +--R 10 3 +--R - 3317760a b +--R * +--R 4 +--R cos(x) +--R + +--R 13 12 2 11 3 10 +--R 80b + 4376a b + 76096a b + 604752a b +--R + +--R 4 9 5 8 6 7 +--R 2644400a b + 6993880a b + 11693056a b +--R + +--R 7 6 8 5 9 4 10 3 +--R 12458496a b + 8212992a b + 3056640a b + 491520a b +--R * +--R 2 +--R cos(x) +--R + +--R 13 12 2 11 3 10 +--R - 40b - 1512a b - 18480a b - 110800a b +--R + +--R 4 9 5 8 6 7 7 6 +--R - 385288a b - 841160a b - 1192992a b - 1100800a b +--R + +--R 8 5 9 4 10 3 +--R - 638720a b - 211968a b - 30720a b +--R * +--R 2 +--R cot(x) +--R + +--R 9 4 10 3 11 2 20 +--R (49152a b + 589824a b + 737280a b )cos(x) +--R + +--R 8 5 9 4 10 3 11 2 +--R (- 245760a b - 3268608a b - 8626176a b - 6266880a b ) +--R * +--R 18 +--R cos(x) +--R + +--R 7 6 8 5 9 4 10 3 +--R 506880a b + 7600128a b + 30535680a b + 46227456a b +--R + +--R 11 2 +--R 23639040a b +--R * +--R 16 +--R cos(x) +--R + +--R 6 7 7 6 8 5 9 4 +--R - 554496a b - 9590784a b - 52469760a b - 123896832a b +--R + +--R 10 3 11 2 +--R - 131922432a b - 51978240a b +--R * +--R 14 +--R cos(x) +--R + +--R 5 8 6 7 7 6 8 5 +--R 344832a b + 7099776a b + 50624256a b + 167380224a b +--R + +--R 9 4 10 3 11 2 +--R 279938688a b + 229824000a b + 73543680a b +--R * +--R 12 +--R cos(x) +--R + +--R 4 9 5 8 6 7 7 6 +--R - 121632a b - 3116928a b - 28744608a b - 127108416a b +--R + +--R 8 5 9 4 10 3 +--R - 300307200a b - 388338432a b - 259047936a b +--R + +--R 11 2 +--R - 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124032a +--R * +--R 23 +--R cos(x) +--R + +--R 7 4 8 3 9 2 10 +--R - 17024a b - 44544a b + 75520a b + 108032a b +--R + +--R 11 +--R - 124032a +--R * +--R 22 +--R cos(x) +--R + +--R 6 5 7 4 8 3 9 2 10 +--R 16512a b + 95616a b + 22784a b - 379648a b - 122240a b +--R + +--R 11 +--R 395648a +--R * +--R 21 +--R cos(x) +--R + +--R 6 5 7 4 8 3 9 2 10 +--R 16512a b + 95616a b + 22784a b - 379648a b - 122240a b +--R + +--R 11 +--R 395648a +--R * +--R 20 +--R cos(x) +--R + +--R 5 6 6 5 7 4 8 3 +--R - 8896a b - 90944a b - 183520a b + 308352a b +--R + +--R 9 2 10 11 +--R 861920a b - 213760a b - 851840a +--R * +--R 19 +--R cos(x) +--R + +--R 5 6 6 5 7 4 8 3 +--R - 8896a b - 90944a b - 183520a b + 308352a b +--R + +--R 9 2 10 11 +--R 861920a b - 213760a b - 851840a +--R * +--R 18 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 8 3 +--R 2576a b + 44784a b + 191984a b + 40048a b - 981632a b +--R + +--R 9 2 10 11 +--R - 1005024a b + 1054848a b + 1305216a +--R * +--R 17 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 8 3 +--R 2576a b + 44784a b + 191984a b + 40048a b - 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15120a b - 25098a b + 160196a b +--R + +--R 7 4 8 3 9 2 10 +--R 584710a b + 272128a b - 1212864a b - 1804800a b +--R + +--R 11 +--R - 734976a +--R * +--R 11 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R - 48a b - 1664a b - 15120a b - 25098a b + 160196a b +--R + +--R 7 4 8 3 9 2 10 +--R 584710a b + 272128a b - 1212864a b - 1804800a b +--R + +--R 11 +--R - 734976a +--R * +--R 10 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R 44a b + 980a b + 4962a b - 13314a b - 132726a b +--R + +--R 7 4 8 3 9 2 10 +--R - 217770a b + 218368a b + 966080a b + 968960a b +--R + +--R 11 +--R 323840a +--R * +--R 9 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R 44a b + 980a b + 4962a b - 13314a b - 132726a b +--R + +--R 7 4 8 3 9 2 10 +--R - 217770a b + 218368a b + 966080a b + 968960a b +--R + +--R 11 +--R 323840a +--R * +--R 8 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R - 16a b - 226a b + 176a b + 12736a b + 44816a b +--R + +--R 7 4 8 3 9 2 10 11 +--R 2762a b - 232448a b - 454528a b - 351744a b - 99968a +--R * +--R 7 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R - 16a b - 226a b + 176a b + 12736a b + 44816a b +--R + +--R 7 4 8 3 9 2 10 11 +--R 2762a b - 232448a b - 454528a b - 351744a b - 99968a +--R * +--R 6 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 7 4 +--R 2a b + 2a b - 428a b - 3180a b - 3142a b + 26874a b +--R + +--R 8 3 9 2 10 11 +--R 93952a b + 128384a b + 82048a b + 20352a +--R * +--R 5 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 7 4 +--R 2a b + 2a b - 428a b - 3180a b - 3142a b + 26874a b +--R + +--R 8 3 9 2 10 11 +--R 93952a b + 128384a b + 82048a b + 20352a +--R * +--R 4 +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 7 4 8 3 +--R 4a b + 56a b + 102a b - 1548a b - 8478a b - 18304a b +--R + +--R 9 2 10 11 +--R - 20000a b - 11008a b - 2432a +--R * +--R 3 +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 7 4 8 3 +--R 4a b + 56a b + 102a b - 1548a b - 8478a b - 18304a b +--R + +--R 9 2 10 11 +--R - 20000a b - 11008a b - 2432a +--R * +--R 2 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 8 3 9 2 +--R 2a b + 38a b + 262a b + 834a b + 1408a b + 1312a b +--R + +--R 10 11 +--R 640a b + 128a +--R * +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 8 3 9 2 +--R 2a b + 38a b + 262a b + 834a b + 1408a b + 1312a b +--R + +--R 10 11 +--R 640a b + 128a +--R * +--R 2 +--R tan(x) +--R + +--R 8 3 9 2 10 17 +--R (- 2048a b - 4096a b - 2048a b)cos(x) +--R + +--R 8 3 9 2 10 16 +--R (- 2048a b - 4096a b - 2048a b)cos(x) +--R + +--R 7 4 8 3 9 2 10 15 +--R (7168a b + 27648a b + 33792a b + 13312a b)cos(x) +--R + +--R 7 4 8 3 9 2 10 14 +--R (7168a b + 27648a b + 33792a b + 13312a b)cos(x) +--R + +--R 6 5 7 4 8 3 9 2 +--R - 9856a b - 59904a b - 127232a b - 114176a b +--R + +--R 10 +--R - 36992a b +--R * +--R 13 +--R cos(x) +--R + +--R 6 5 7 4 8 3 9 2 +--R - 9856a b - 59904a b - 127232a b - 114176a b +--R + +--R 10 +--R - 36992a b +--R * +--R 12 +--R cos(x) +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R 6784a b + 60416a b + 194560a b + 292096a b + 208256a b +--R + +--R 10 +--R 57088a b +--R * +--R 11 +--R cos(x) +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R 6784a b + 60416a b + 194560a b + 292096a b + 208256a b +--R + +--R 10 +--R 57088a b +--R * +--R 10 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 +--R - 2464a b - 31744a b - 146240a b - 325504a b +--R + +--R 8 3 9 2 10 +--R - 380064a b - 224640a b - 53120a b +--R * +--R 9 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 +--R - 2464a b - 31744a b - 146240a b - 325504a b +--R + +--R 8 3 9 2 10 +--R - 380064a b - 224640a b - 53120a b +--R * +--R 8 +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 7 4 +--R 448a b + 8832a b + 57472a b + 179456a b + 305344a b +--R + +--R 8 3 9 2 10 +--R 290944a b + 146176a b + 30208a b +--R * +--R 7 +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 7 4 +--R 448a b + 8832a b + 57472a b + 179456a b + 305344a b +--R + +--R 8 3 9 2 10 +--R 290944a b + 146176a b + 30208a b +--R * +--R 6 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R - 32a b - 1216a b - 11648a b - 50176a b - 117536a b +--R + +--R 7 4 8 3 9 2 10 +--R - 160576a b - 128192a b - 55552a b - 10112a b +--R * +--R 5 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R - 32a b - 1216a b - 11648a b - 50176a b - 117536a b +--R + +--R 7 4 8 3 9 2 10 +--R - 160576a b - 128192a b - 55552a b - 10112a b +--R * +--R 4 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R 64a b + 1088a b + 6656a b + 20992a b + 38720a b +--R + +--R 7 4 8 3 9 2 10 +--R 43584a b + 29568a b + 11136a b + 1792a b +--R * +--R 3 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R 64a b + 1088a b + 6656a b + 20992a b + 38720a b +--R + +--R 7 4 8 3 9 2 10 +--R 43584a b + 29568a b + 11136a b + 1792a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R - 32a b - 320a b - 1376a b - 3328a b - 4960a b +--R + +--R 7 4 8 3 9 2 10 +--R - 4672a b - 2720a b - 896a b - 128a b +--R * +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 7 4 +--R - 32a b - 320a b - 1376a b - 3328a b - 4960a b - 4672a b +--R + +--R 8 3 9 2 10 +--R - 2720a b - 896a b - 128a b +--R * +--R 10 +--R sin(x) +--R + +--R 8 3 9 2 10 19 +--R (26624a b + 110592a b + 92160a b)cos(x) +--R + +--R 8 3 9 2 10 18 +--R (26624a b + 110592a b + 92160a b)cos(x) +--R + +--R 7 4 8 3 9 2 10 17 +--R (- 103424a b - 644096a b - 1207296a b - 691200a b)cos(x) +--R + +--R 7 4 8 3 9 2 10 16 +--R (- 103424a b - 644096a b - 1207296a b - 691200a b)cos(x) +--R + +--R 6 5 7 4 8 3 9 2 +--R 161920a b + 1404416a b + 4207872a b + 5202432a b +--R + +--R 10 +--R 2263680a b +--R * +--R 15 +--R cos(x) +--R + +--R 6 5 7 4 8 3 9 2 +--R 161920a b + 1404416a b + 4207872a b + 5202432a b +--R + +--R 10 +--R 2263680a b +--R * +--R 14 +--R cos(x) +--R + +--R 5 6 6 5 7 4 8 3 +--R - 130688a b - 1533312a b - 6581504a b - 13050112a b +--R + +--R 9 2 10 +--R - 12092544a b - 4233600a b +--R * +--R 13 +--R cos(x) +--R + +--R 5 6 6 5 7 4 8 3 +--R - 130688a b - 1533312a b - 6581504a b - 13050112a b +--R + +--R 9 2 10 +--R - 12092544a b - 4233600a b +--R * +--R 12 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 +--R 57792a b + 917952a b + 5410912a b + 15450752a b +--R + +--R 8 3 9 2 10 +--R 22920864a b + 16978176a b + 4959360a b +--R * +--R 11 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 +--R 57792a b + 917952a b + 5410912a b + 15450752a b +--R + +--R 8 3 9 2 10 +--R 22920864a b + 16978176a b + 4959360a b +--R * +--R 10 +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 +--R - 13744a b - 305456a b - 2457296a b - 9663856a b +--R + +--R 7 4 8 3 9 2 10 +--R - 20632384a b - 24396064a b - 15011712a b - 3749760a b +--R * +--R 9 +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 +--R - 13744a b - 305456a b - 2457296a b - 9663856a b +--R + +--R 7 4 8 3 9 2 10 +--R - 20632384a b - 24396064a b - 15011712a b - 3749760a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 +--R 1586a b + 54184a b + 611116a b + 3276200a b +--R + +--R 6 5 7 4 8 3 9 2 +--R 9606962a b + 16289280a b + 15935296a b + 8349696a b +--R + +--R 10 +--R 1814400a b +--R * +--R 7 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 +--R 1586a b + 54184a b + 611116a b + 3276200a b +--R + +--R 6 5 7 4 8 3 9 2 +--R 9606962a b + 16289280a b + 15935296a b + 8349696a b +--R + +--R 10 +--R 1814400a b +--R * +--R 6 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 66a b - 4558a b - 78100a b - 582588a b - 2311850a b +--R + +--R 6 5 7 4 8 3 9 2 +--R - 5347510a b - 7455360a b - 6175552a b - 2800512a b +--R + +--R 10 +--R - 535680a b +--R * +--R 5 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 66a b - 4558a b - 78100a b - 582588a b - 2311850a b +--R + +--R 6 5 7 4 8 3 9 2 +--R - 5347510a b - 7455360a b - 6175552a b - 2800512a b +--R + +--R 10 +--R - 535680a b +--R * +--R 4 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 132a b + 4358a b + 48624a b + 264692a b + 818652a b +--R + +--R 6 5 7 4 8 3 9 2 +--R 1541430a b + 1804160a b + 1283872a b + 509184a b +--R + +--R 10 +--R 86400a b +--R * +--R 3 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 132a b + 4358a b + 48624a b + 264692a b + 818652a b +--R + +--R 6 5 7 4 8 3 9 2 +--R 1541430a b + 1804160a b + 1283872a b + 509184a b +--R + +--R 10 +--R 86400a b +--R * +--R 2 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 66a b - 1386a b - 10964a b - 45556a b - 112970a b +--R + +--R 6 5 7 4 8 3 9 2 10 +--R - 176546a b - 175936a b - 108704a b - 38016a b - 5760a b +--R * +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 66a b - 1386a b - 10964a b - 45556a b - 112970a b +--R + +--R 6 5 7 4 8 3 9 2 10 +--R - 176546a b - 175936a b - 108704a b - 38016a b - 5760a b +--R * +--R 8 +--R sin(x) +--R + +--R 8 3 9 2 10 21 +--R (28672a b - 172032a b - 430080a b)cos(x) +--R + +--R 8 3 9 2 10 20 +--R (28672a b - 172032a b - 430080a b)cos(x) +--R + +--R 7 4 8 3 9 2 10 19 +--R (- 100352a b + 587776a b + 3483648a b + 3655680a b)cos(x) +--R + +--R 7 4 8 3 9 2 10 18 +--R (- 100352a b + 587776a b + 3483648a b + 3655680a b)cos(x) +--R + +--R 6 5 7 4 8 3 9 2 +--R 135936a b - 896000a b - 9314816a b - 20794368a b +--R + +--R 10 +--R - 13789440a b +--R * +--R 17 +--R cos(x) +--R + +--R 6 5 7 4 8 3 9 2 +--R 135936a b - 896000a b - 9314816a b - 20794368a b +--R + +--R 10 +--R - 13789440a b +--R * +--R 16 +--R cos(x) +--R + +--R 5 6 6 5 7 4 8 3 +--R - 88832a b + 842240a b + 12601344a b + 44939776a b +--R + +--R 9 2 10 +--R 62635776a b + 30320640a b +--R * +--R 15 +--R cos(x) +--R + +--R 5 6 6 5 7 4 8 3 +--R - 88832a b + 842240a b + 12601344a b + 44939776a b +--R + +--R 9 2 10 +--R 62635776a b + 30320640a b +--R * +--R 14 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 +--R 28096a b - 534400a b - 9911168a b - 50168832a b +--R + +--R 8 3 9 2 10 +--R - 111001408a b - 112707840a b - 42900480a b +--R * +--R 13 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 +--R 28096a b - 534400a b - 9911168a b - 50168832a b +--R + +--R 8 3 9 2 10 +--R - 111001408a b - 112707840a b - 42900480a b +--R * +--R 12 +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 +--R - 3488a b + 216320a b + 4699424a b + 31964224a b +--R + +--R 7 4 8 3 9 2 10 +--R 100880192a b + 162617728a b + 129792768a b + 40642560a b +--R * +--R 11 +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 +--R - 3488a b + 216320a b + 4699424a b + 31964224a b +--R + +--R 7 4 8 3 9 2 10 +--R 100880192a b + 162617728a b + 129792768a b + 40642560a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 +--R - 72a b - 49280a b - 1307712a b - 11837536a b +--R + +--R 6 5 7 4 8 3 +--R - 50971480a b - 117551168a b - 149003456a b +--R + +--R 9 2 10 +--R - 97805568a b - 25966080a b +--R * +--R 9 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 +--R - 72a b - 49280a b - 1307712a b - 11837536a b +--R + +--R 6 5 7 4 8 3 +--R - 50971480a b - 117551168a b - 149003456a b +--R + +--R 9 2 10 +--R - 97805568a b - 25966080a b +--R * +--R 8 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 +--R 40a b + 5428a b + 197260a b + 2458876a b +--R + +--R 5 6 6 5 7 4 8 3 +--R 14359516a b + 45376224a b + 82337920a b + 85788416a b +--R + +--R 9 2 10 +--R 47701248a b + 10967040a b +--R * +--R 7 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 +--R 40a b + 5428a b + 197260a b + 2458876a b +--R + +--R 5 6 6 5 7 4 8 3 +--R 14359516a b + 45376224a b + 82337920a b + 85788416a b +--R + +--R 9 2 10 +--R 47701248a b + 10967040a b +--R * +--R 6 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 2b - 244a b - 14052a b - 262248a b - 2135482a b +--R + +--R 5 6 6 5 7 4 8 3 +--R - 9166100a b - 22767760a b - 33903744a b - 29871296a b +--R + +--R 9 2 10 +--R - 14359296a b - 2903040a b +--R * +--R 5 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 2b - 244a b - 14052a b - 262248a b - 2135482a b +--R + +--R 5 6 6 5 7 4 8 3 +--R - 9166100a b - 22767760a b - 33903744a b - 29871296a b +--R + +--R 9 2 10 +--R - 14359296a b - 2903040a b +--R * +--R 4 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 4b + 368a b + 12108a b + 147276a b + 875008a b +--R + +--R 5 6 6 5 7 4 8 3 +--R 2934900a b + 5955488a b + 7472192a b + 5674368a b +--R + +--R 9 2 10 +--R 2392320a b + 430080a b +--R * +--R 3 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 4b + 368a b + 12108a b + 147276a b + 875008a b +--R + +--R 5 6 6 5 7 4 8 3 +--R 2934900a b + 5955488a b + 7472192a b + 5674368a b +--R + +--R 9 2 10 +--R 2392320a b + 430080a b +--R * +--R 2 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 2b - 164a b - 3412a b - 29520a b - 135106a b +--R + +--R 5 6 6 5 7 4 8 3 +--R - 366972a b - 623704a b - 671552a b - 445760a b +--R + +--R 9 2 10 +--R - 166656a b - 26880a b +--R * +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 2b - 164a b - 3412a b - 29520a b - 135106a b +--R + +--R 5 6 6 5 7 4 8 3 +--R - 366972a b - 623704a b - 671552a b - 445760a b +--R + +--R 9 2 10 +--R - 166656a b - 26880a b +--R * +--R 6 +--R sin(x) +--R + +--R 8 3 9 2 10 23 +--R (- 28672a b - 172032a b + 430080a b)cos(x) +--R + +--R 8 3 9 2 10 22 +--R (- 28672a b - 172032a b + 430080a b)cos(x) +--R + +--R 7 4 8 3 9 2 10 21 +--R (129024a b + 989184a b - 645120a b - 4085760a b)cos(x) +--R + +--R 7 4 8 3 9 2 10 20 +--R (129024a b + 989184a b - 645120a b - 4085760a b)cos(x) +--R + +--R 6 5 7 4 8 3 9 2 +--R - 236288a b - 2300928a b - 2182656a b + 12493824a b +--R + +--R 10 +--R 17445120a b +--R * +--R 19 +--R cos(x) +--R + +--R 6 5 7 4 8 3 9 2 +--R - 236288a b - 2300928a b - 2182656a b + 12493824a b +--R + +--R 10 +--R 17445120a b +--R * +--R 18 +--R cos(x) +--R + +--R 5 6 6 5 7 4 8 3 +--R 225024a b + 2809600a b + 7028224a b - 12569088a b +--R + +--R 9 2 10 +--R - 56238336a b - 44110080a b +--R * +--R 17 +--R cos(x) +--R + +--R 5 6 6 5 7 4 8 3 +--R 225024a b + 2809600a b + 7028224a b - 12569088a b +--R + +--R 9 2 10 +--R - 56238336a b - 44110080a b +--R * +--R 16 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 +--R - 118144a b - 1943808a b - 8177728a b + 2082304a b +--R + +--R 8 3 9 2 10 +--R 72414272a b + 134313984a b + 73221120a b +--R * +--R 15 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 +--R - 118144a b - 1943808a b - 8177728a b + 2082304a b +--R + +--R 8 3 9 2 10 +--R 72414272a b + 134313984a b + 73221120a b +--R * +--R 14 +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 +--R 33472a b + 765088a b + 4868800a b + 4696672a b +--R + +--R 7 4 8 3 9 2 10 +--R - 48025152a b - 166104512a b - 200051712a b - 83543040a b +--R * +--R 13 +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 +--R 33472a b + 765088a b + 4868800a b + 4696672a b +--R + +--R 7 4 8 3 9 2 10 +--R - 48025152a b - 166104512a b - 200051712a b - 83543040a b +--R * +--R 12 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 +--R - 4676a b - 163344a b - 1563720a b - 3518192a b +--R + +--R 6 5 7 4 8 3 +--R 17833100a b + 108244864a b + 218783040a b +--R + +--R 9 2 10 +--R 196890624a b + 66608640a b +--R * +--R 11 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 +--R - 4676a b - 163344a b - 1563720a b - 3518192a b +--R + +--R 6 5 7 4 8 3 +--R 17833100a b + 108244864a b + 218783040a b +--R + +--R 9 2 10 +--R 196890624a b + 66608640a b +--R * +--R 10 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 +--R 260a b + 17000a b + 261804a b + 1028596a b +--R + +--R 5 6 6 5 7 4 +--R - 3845744a b - 40294812a b - 122881472a b +--R + +--R 8 3 9 2 10 +--R - 180263104a b - 129959424a b - 36933120a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 +--R 260a b + 17000a b + 261804a b + 1028596a b +--R + +--R 5 6 6 5 7 4 +--R - 3845744a b - 40294812a b - 122881472a b +--R + +--R 8 3 9 2 10 +--R - 180263104a b - 129959424a b - 36933120a b +--R * +--R 8 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 4b - 700a b - 20554a b - 137984a b + 489722a b +--R + +--R 5 6 6 5 7 4 8 3 +--R 8620832a b + 37645880a b + 80914176a b + 94053568a b +--R + +--R 9 2 10 +--R 56641536a b + 13870080a b +--R * +--R 7 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 4b - 700a b - 20554a b - 137984a b + 489722a b +--R + +--R 5 6 6 5 7 4 8 3 +--R 8620832a b + 37645880a b + 80914176a b + 94053568a b +--R + +--R 9 2 10 +--R 56641536a b + 13870080a b +--R * +--R 6 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 8b + 590a b + 7782a b - 35918a b - 998838a b +--R + +--R 5 6 6 5 7 4 8 3 +--R - 6118816a b - 18379992a b - 31016384a b - 29970752a b +--R + +--R 9 2 10 +--R - 15504384a b - 3333120a b +--R * +--R 5 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 8b + 590a b + 7782a b - 35918a b - 998838a b +--R + +--R 5 6 6 5 7 4 8 3 +--R - 6118816a b - 18379992a b - 31016384a b - 29970752a b +--R + +--R 9 2 10 +--R - 15504384a b - 3333120a b +--R * +--R 4 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 4b - 120a b + 1478a b + 54460a b + 469206a b +--R + +--R 5 6 6 5 7 4 8 3 +--R 1942736a b + 4549948a b + 6358912a b + 5265344a b +--R + +--R 9 2 10 +--R 2386944a b + 456960a b +--R * +--R 3 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 4b - 120a b + 1478a b + 54460a b + 469206a b +--R + +--R 5 6 6 5 7 4 8 3 +--R 1942736a b + 4549948a b + 6358912a b + 5265344a b +--R + +--R 9 2 10 +--R 2386944a b + 456960a b +--R * +--R 2 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 30a b - 1030a b - 12490a b - 71910a b - 230832a b +--R + +--R 6 5 7 4 8 3 9 2 +--R - 446380a b - 533568a b - 386624a b - 155904a b +--R + +--R 10 +--R - 26880a b +--R * +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 30a b - 1030a b - 12490a b - 71910a b - 230832a b +--R + +--R 6 5 7 4 8 3 9 2 10 +--R - 446380a b - 533568a b - 386624a b - 155904a b - 26880a b +--R * +--R 4 +--R sin(x) +--R + +--R 8 3 9 2 10 25 +--R (- 26624a b + 110592a b - 92160a b)cos(x) +--R + +--R 8 3 9 2 10 24 +--R (- 26624a b + 110592a b - 92160a b)cos(x) +--R + +--R 7 4 8 3 9 2 10 23 +--R (109568a b - 271360a b - 617472a b + 967680a b)cos(x) +--R + +--R 7 4 8 3 9 2 10 22 +--R (109568a b - 271360a b - 617472a b + 967680a b)cos(x) +--R + +--R 6 5 7 4 8 3 9 2 +--R - 183424a b + 103936a b + 2544384a b + 354816a b +--R + +--R 10 +--R - 4613760a b +--R * +--R 21 +--R cos(x) +--R + +--R 6 5 7 4 8 3 9 2 +--R - 183424a b + 103936a b + 2544384a b + 354816a b +--R + +--R 10 +--R - 4613760a b +--R * +--R 20 +--R cos(x) +--R + +--R 5 6 6 5 7 4 8 3 +--R 159872a b + 278016a b - 3426304a b - 6934272a b +--R + +--R 9 2 10 +--R 6376320a b + 13190400a b +--R * +--R 19 +--R cos(x) +--R + +--R 5 6 6 5 7 4 8 3 +--R 159872a b + 278016a b - 3426304a b - 6934272a b +--R + +--R 9 2 10 +--R 6376320a b + 13190400a b +--R * +--R 18 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 +--R - 77088a b - 368768a b + 2202560a b + 11382656a b +--R + +--R 8 3 9 2 10 +--R 5154784a b - 26213760a b - 25142400a b +--R * +--R 17 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 +--R - 77088a b - 368768a b + 2202560a b + 11382656a b +--R + +--R 8 3 9 2 10 +--R 5154784a b - 26213760a b - 25142400a b +--R * +--R 16 +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 +--R 20192a b + 189696a b - 712608a b - 8495296a b +--R + +--R 7 4 8 3 9 2 10 +--R - 15394560a b + 13704448a b + 53761536a b + 33592320a b +--R * +--R 15 +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 +--R 20192a b + 189696a b - 712608a b - 8495296a b +--R + +--R 7 4 8 3 9 2 10 +--R - 15394560a b + 13704448a b + 53761536a b + 33592320a b +--R * +--R 14 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 +--R - 2632a b - 47424a b + 100320a b + 3414624a b +--R + +--R 6 5 7 4 8 3 9 2 +--R 12197128a b + 4410112a b - 42137984a b - 69382656a b +--R + +--R 10 +--R - 32175360a b +--R * +--R 13 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 +--R - 2632a b - 47424a b + 100320a b + 3414624a b +--R + +--R 6 5 7 4 8 3 9 2 +--R 12197128a b + 4410112a b - 42137984a b - 69382656a b +--R + +--R 10 +--R - 32175360a b +--R * +--R 12 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 136a b + 5692a b + 900a b - 750460a b - 4641148a b +--R + +--R 6 5 7 4 8 3 9 2 +--R - 6932080a b + 14298368a b + 55354624a b + 60127488a b +--R + +--R 10 +--R 22187520a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 136a b + 5692a b + 900a b - 750460a b - 4641148a b +--R + +--R 6 5 7 4 8 3 9 2 +--R - 6932080a b + 14298368a b + 55354624a b + 60127488a b +--R + +--R 10 +--R 22187520a b +--R * +--R 10 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 2b - 276a b - 1744a b + 82440a b + 896434a b +--R + +--R 5 6 6 5 7 4 8 3 +--R 2597548a b - 1651336a b - 21889536a b - 43068608a b +--R + +--R 9 2 10 +--R - 35493120a b - 10886400a b +--R * +--R 9 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 2b - 276a b - 1744a b + 82440a b + 896434a b +--R + +--R 5 6 6 5 7 4 8 3 +--R 2597548a b - 1651336a b - 21889536a b - 43068608a b +--R + +--R 9 2 10 +--R - 35493120a b - 10886400a b +--R * +--R 8 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 4b + 120a b - 3556a b - 80640a b - 409968a b +--R + +--R 5 6 6 5 7 4 8 3 +--R - 108152a b + 4633120a b + 15011584a b + 20948736a b +--R + +--R 9 2 10 +--R 14031360a b + 3686400a b +--R * +--R 7 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 4b + 120a b - 3556a b - 80640a b - 409968a b +--R + +--R 5 6 6 5 7 4 8 3 +--R - 108152a b + 4633120a b + 15011584a b + 20948736a b +--R + +--R 9 2 10 +--R 14031360a b + 3686400a b +--R * +--R 6 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 2b + 44a b + 2706a b + 25608a b + 25948a b +--R + +--R 5 6 6 5 7 4 8 3 +--R - 533832a b - 2652424a b - 5617920a b - 6219904a b +--R + +--R 9 2 10 +--R - 3529728a b - 812160a b +--R * +--R 5 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 2b + 44a b + 2706a b + 25608a b + 25948a b +--R + +--R 5 6 6 5 7 4 8 3 +--R - 533832a b - 2652424a b - 5617920a b - 6219904a b +--R + +--R 9 2 10 +--R - 3529728a b - 812160a b +--R * +--R 4 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 24a b - 436a b - 356a b + 31484a b + 219476a b +--R + +--R 6 5 7 4 8 3 9 2 +--R 667152a b + 1099520a b + 1022464a b + 505728a b +--R + +--R 10 +--R 103680a b +--R * +--R 3 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 24a b - 436a b - 356a b + 31484a b + 219476a b +--R + +--R 6 5 7 4 8 3 9 2 +--R 667152a b + 1099520a b + 1022464a b + 505728a b +--R + +--R 10 +--R 103680a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R - 30a b - 720a b - 6366a b - 27012a b - 63416a b +--R + +--R 7 4 8 3 9 2 10 +--R - 87424a b - 70688a b - 31104a b - 5760a b +--R * +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R - 30a b - 720a b - 6366a b - 27012a b - 63416a b +--R + +--R 7 4 8 3 9 2 10 +--R - 87424a b - 70688a b - 31104a b - 5760a b +--R * +--R 2 +--R sin(x) +--R + +--R 8 3 9 2 10 27 +--R (2048a b - 4096a b + 2048a b)cos(x) +--R + +--R 8 3 9 2 10 26 +--R (2048a b - 4096a b + 2048a b)cos(x) +--R + +--R 7 4 8 3 9 2 10 25 +--R (- 9216a b - 1024a b + 33792a b - 23552a b)cos(x) +--R + +--R 7 4 8 3 9 2 10 24 +--R (- 9216a b - 1024a b + 33792a b - 23552a b)cos(x) +--R + +--R 6 5 7 4 8 3 9 2 10 +--R (17024a b + 44544a b - 75520a b - 108032a b + 124032a b) +--R * +--R 23 +--R cos(x) +--R + +--R 6 5 7 4 8 3 9 2 10 +--R (17024a b + 44544a b - 75520a b - 108032a b + 124032a b) +--R * +--R 22 +--R cos(x) +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R - 16512a b - 95616a b - 22784a b + 379648a b + 122240a b +--R + +--R 10 +--R - 395648a b +--R * +--R 21 +--R cos(x) +--R + +--R 5 6 6 5 7 4 8 3 9 2 +--R - 16512a b - 95616a b - 22784a b + 379648a b + 122240a b +--R + +--R 10 +--R - 395648a b +--R * +--R 20 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 8 3 +--R 8896a b + 90944a b + 183520a b - 308352a b - 861920a b +--R + +--R 9 2 10 +--R 213760a b + 851840a b +--R * +--R 19 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 8 3 +--R 8896a b + 90944a b + 183520a b - 308352a b - 861920a b +--R + +--R 9 2 10 +--R 213760a b + 851840a b +--R * +--R 18 +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 7 4 +--R - 2576a b - 44784a b - 191984a b - 40048a b + 981632a b +--R + +--R 8 3 9 2 10 +--R 1005024a b - 1054848a b - 1305216a b +--R * +--R 17 +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 7 4 +--R - 2576a b - 44784a b - 191984a b - 40048a b + 981632a b +--R + +--R 8 3 9 2 10 +--R 1005024a b - 1054848a b - 1305216a b +--R * +--R 16 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R 354a b + 11240a b + 88380a b + 166728a b - 400686a b +--R + +--R 7 4 8 3 9 2 10 +--R - 1418752a b - 350592a b + 1990656a b + 1461504a b +--R * +--R 15 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R 354a b + 11240a b + 88380a b + 166728a b - 400686a b +--R + +--R 7 4 8 3 9 2 10 +--R - 1418752a b - 350592a b + 1990656a b + 1461504a b +--R * +--R 14 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 18a b - 1258a b - 19016a b - 81208a b + 18682a b +--R + +--R 6 5 7 4 8 3 9 2 10 +--R 724738a b + 1068032a b - 689280a b - 2309376a b - 1208064a b +--R * +--R 13 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 18a b - 1258a b - 19016a b - 81208a b + 18682a b +--R + +--R 6 5 7 4 8 3 9 2 10 +--R 724738a b + 1068032a b - 689280a b - 2309376a b - 1208064a b +--R * +--R 12 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 48a b + 1664a b + 15120a b + 25098a b - 160196a b +--R + +--R 6 5 7 4 8 3 9 2 +--R - 584710a b - 272128a b + 1212864a b + 1804800a b +--R + +--R 10 +--R 734976a b +--R * +--R 11 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 48a b + 1664a b + 15120a b + 25098a b - 160196a b +--R + +--R 6 5 7 4 8 3 9 2 +--R - 584710a b - 272128a b + 1212864a b + 1804800a b +--R + +--R 10 +--R 734976a b +--R * +--R 10 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 44a b - 980a b - 4962a b + 13314a b + 132726a b +--R + +--R 6 5 7 4 8 3 9 2 10 +--R 217770a b - 218368a b - 966080a b - 968960a b - 323840a b +--R * +--R 9 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 44a b - 980a b - 4962a b + 13314a b + 132726a b +--R + +--R 6 5 7 4 8 3 9 2 10 +--R 217770a b - 218368a b - 966080a b - 968960a b - 323840a b +--R * +--R 8 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 6 5 +--R 16a b + 226a b - 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2a b - 38a b - 262a b - 834a b - 1408a b - 1312a b +--R + +--R 9 2 10 +--R - 640a b - 128a b +--R * +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 7 4 8 3 +--R - 2a b - 38a b - 262a b - 834a b - 1408a b - 1312a b +--R + +--R 9 2 10 +--R - 640a b - 128a b +--R * +--R +----------------------+ +--R | 2 +--R |- 4a cos(x) + 4b + 4a +--R |---------------------- +--R | 2 +--R \| cos(x) + 2cos(x) + 1 +--R + +--R 8 3 9 2 10 18 +--R (24576a b + 65536a b + 40960a b)cos(x) +--R + +--R 7 4 8 3 9 2 10 +--R (- 102400a b - 462848a b - 667648a b - 307200a b) +--R * +--R 16 +--R cos(x) +--R + +--R 6 5 7 4 8 3 +--R 173568a b + 1157120a b + 2746368a b +--R + +--R 9 2 10 +--R 2768896a b + 1006080a b +--R * +--R 14 +--R cos(x) +--R + +--R 5 6 6 5 7 4 +--R - 153856a b - 1427456a b - 4936192a b +--R + +--R 8 3 9 2 10 +--R - 8062464a b - 6281472a b - 1881600a b +--R * +--R 12 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 +--R 76352a b + 968704a b + 4627072a b + 10921984a b +--R + +--R 8 3 9 2 10 +--R 13655872a b + 8672768a b + 2204160a b +--R * +--R 10 +--R cos(x) +--R + +--R 3 8 4 7 5 6 +--R - 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504528a b - 339616a b + 3311072a b +--R + +--R 7 4 8 3 9 2 +--R 10371840a b + 13363456a b + 8239104a b +--R + +--R 10 +--R 1999360a b +--R * +--R 6 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 8b + 24a b + 3512a b + 31040a b + 47872a b +--R + +--R 5 6 6 5 7 4 +--R - 355400a b - 1774368a b - 3509120a b +--R + +--R 8 3 9 2 10 +--R - 3601152a b - 1897728a b - 407040a b +--R * +--R 4 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 +--R - 32a b - 520a b - 1056a b + 20984a b +--R + +--R 5 6 6 5 7 4 8 3 +--R 144208a b + 409824a b + 628480a b + 545088a b +--R + +--R 9 2 10 +--R 252416a b + 48640a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 +--R - 24a b - 520a b - 4200a b - 16440a b - 35872a b +--R + +--R 7 4 8 3 9 2 10 +--R - 46240a b - 35136a b - 14592a b - 2560a b +--R * +--R 2 +--R csc(x) +--R + +--R 9 2 10 11 26 +--R (24576a b - 65536a b + 40960a )cos(x) +--R + +--R 8 3 9 2 10 11 24 +--R (- 118784a b + 94208a b + 479232a b - 471040a )cos(x) +--R + +--R 7 4 8 3 9 2 10 +--R 239104a b + 325632a b - 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32a b - 520a b - 1056a b + 20984a b + 144208a b +--R + +--R 7 4 8 3 9 2 10 +--R 409824a b + 628480a b + 545088a b + 252416a b +--R + +--R 11 +--R 48640a +--R * +--R 2 +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 7 4 +--R - 24a b - 520a b - 4200a b - 16440a b - 35872a b +--R + +--R 8 3 9 2 10 11 +--R - 46240a b - 35136a b - 14592a b - 2560a +--R * +--R sin(x) +--R * +--R 2 +--R tan(x) +--R + +--R 8 3 9 2 10 18 +--R (- 24576a b - 65536a b - 40960a b)cos(x) +--R + +--R 7 4 8 3 9 2 10 16 +--R (102400a b + 462848a b + 667648a b + 307200a b)cos(x) +--R + +--R 6 5 7 4 8 3 9 2 +--R - 173568a b - 1157120a b - 2746368a b - 2768896a b +--R + +--R 10 +--R - 1006080a b +--R * +--R 14 +--R cos(x) +--R + +--R 5 6 6 5 7 4 8 3 +--R 153856a b + 1427456a b + 4936192a b + 8062464a b +--R + +--R 9 2 10 +--R 6281472a b + 1881600a b +--R * +--R 12 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 +--R - 76352a b - 968704a b - 4627072a b - 10921984a b +--R + +--R 8 3 9 2 10 +--R - 13655872a b - 8672768a b - 2204160a b +--R * +--R 10 +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 +--R 21024a b + 371392a b + 2408128a b + 7797760a b +--R + +--R 7 4 8 3 9 2 10 +--R 13993760a b + 14162496a b + 7575296a b + 1666560a b +--R * +--R 8 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 +--R - 2944a b - 78208a b - 697984a b - 3040768a b +--R + +--R 6 5 7 4 8 3 9 2 +--R - 7427968a b - 10714240a b - 9072768a b - 4174848a b +--R + +--R 10 +--R - 806400a b +--R * +--R 6 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 160a b + 8192a b + 107136a b + 633088a b + 2057248a b +--R + +--R 6 5 7 4 8 3 9 2 +--R 4001152a b + 4789440a b + 3463808a b + 1390336a b +--R + +--R 10 +--R 238080a b +--R * +--R 4 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R - 320a b - 7552a b - 63744a b - 276032a b - 704320a b +--R + +--R 6 5 7 4 8 3 9 2 +--R - 1123840a b - 1137792a b - 711744a b - 251392a b +--R + +--R 10 +--R - 38400a b +--R * +--R 2 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 160a b + 2304a b + 13792a b + 45888a b + 94560a b +--R + +--R 6 5 7 4 8 3 9 2 10 +--R 126080a b + 109344a b + 59712a b + 18688a b + 2560a b +--R * +--R 9 +--R sin(x) +--R + +--R 8 3 9 2 10 20 +--R (32768a b + 393216a b + 491520a b)cos(x) +--R + +--R 7 4 8 3 9 2 10 +--R (- 163840a b - 2179072a b - 5750784a b - 4177920a b) +--R * +--R 18 +--R cos(x) +--R + +--R 6 5 7 4 8 3 9 2 +--R 337920a b + 5066752a b + 20357120a b + 30818304a b +--R + +--R 10 +--R 15759360a b +--R * +--R 16 +--R cos(x) +--R + +--R 5 6 6 5 7 4 8 3 +--R - 369664a b - 6393856a b - 34979840a b - 82597888a b +--R + +--R 9 2 10 +--R - 87948288a b - 34652160a b +--R * +--R 14 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 +--R 229888a b + 4733184a b + 33749504a b + 111586816a b +--R + +--R 8 3 9 2 10 +--R 186625792a b + 153216000a b + 49029120a b +--R * +--R 12 +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 +--R - 81088a b - 2077952a b - 19163072a b - 84738944a b +--R + +--R 7 4 8 3 9 2 +--R - 200204800a b - 258892288a b - 172698624a b +--R + +--R 10 +--R - 46448640a b +--R * +--R 10 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 +--R 15328a b + 523328a b + 6374656a b + 37257152a b +--R + +--R 6 5 7 4 8 3 +--R 118703648a b + 217487360a b + 228684032a b +--R + +--R 9 2 10 +--R 128185344a b + 29675520a b +--R * +--R 8 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 +--R - 1352a b - 69792a b - 1186544a b - 9308832a b +--R + +--R 5 6 6 5 7 4 +--R - 39421064a b - 97553792a b - 145318912a b +--R + +--R 8 3 9 2 10 +--R - 128291840a b - 61830144a b - 12533760a b +--R * +--R 6 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 40b + 4216a b + 112080a b + 1238256a b + 7041352a b +--R + +--R 5 6 6 5 7 4 8 3 +--R 23116184a b + 46395584a b + 57884160a b + 43835648a b +--R + +--R 9 2 10 +--R 18459648a b + 3317760a b +--R * +--R 4 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 80b - 4376a b - 76096a b - 604752a b - 2644400a b +--R + +--R 5 6 6 5 7 4 8 3 +--R - 6993880a b - 11693056a b - 12458496a b - 8212992a b +--R + +--R 9 2 10 +--R - 3056640a b - 491520a b +--R * +--R 2 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 40b + 1512a b + 18480a b + 110800a b + 385288a b +--R + +--R 5 6 6 5 7 4 8 3 +--R 841160a b + 1192992a b + 1100800a b + 638720a b +--R + +--R 9 2 10 +--R 211968a b + 30720a b +--R * +--R 7 +--R sin(x) +--R + +--R 8 3 10 22 +--R (114688a b - 1032192a b)cos(x) +--R + +--R 7 4 8 3 9 2 10 20 +--R (- 516096a b - 860160a b + 5677056a b + 9805824a b)cos(x) +--R + +--R 6 5 7 4 8 3 9 2 +--R 957440a b + 3383296a b - 10579968a b - 48513024a b +--R + +--R 10 +--R - 41868288a b +--R * +--R 18 +--R cos(x) +--R + +--R 5 6 6 5 7 4 8 3 +--R - 942592a b - 5394432a b + 8193024a b + 96531456a b +--R + +--R 9 2 10 +--R 184149504a b + 105864192a b +--R * +--R 16 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 +--R 528256a b + 4473600a b - 1588480a b - 103022080a b +--R + +--R 8 3 9 2 10 +--R - 332495744a b - 407973888a b - 175730688a b +--R * +--R 14 +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 +--R - 168192a b - 2064000a b - 1360320a b + 65917056a b +--R + +--R 7 4 8 3 9 2 10 +--R 323539776a b + 640954496a b + 582543360a b + 200503296a b +--R * +--R 12 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 +--R 28704a b + 528640a b + 873792a b - 26496640a b +--R + +--R 6 5 7 4 8 3 +--R - 185868512a b - 532823424a b - 772227456a b +--R + +--R 9 2 10 +--R - 558157824a b - 159860736a b +--R * +--R 10 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 +--R - 2264a b - 71472a b - 201424a b + 6655600a b +--R + +--R 5 6 6 5 7 4 +--R 64324232a b + 253156320a b + 525366464a b +--R + +--R 8 3 9 2 10 +--R 602831488a b + 361718784a b + 88639488a b +--R * +--R 8 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 56b + 4512a b + 22224a b - 974848a b - 12991304a b +--R + +--R 5 6 6 5 7 4 +--R - 68914976a b - 195021248a b - 319329024a b +--R + +--R 8 3 9 2 10 +--R - 303538816a b - 155602944a b - 33288192a b +--R * +--R 6 +--R cos(x) +--R + +--R 11 10 2 9 3 8 +--R - 88b - 1104a b + 72576a b + 1405120a b +--R + +--R 4 7 5 6 6 5 7 4 +--R 10169016a b + 38617712a b + 85989440a b + 116410560a b +--R + +--R 8 3 9 2 10 +--R 94392704a b + 42190848a b + 7999488a b +--R * +--R 4 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 8b - 2272a b - 69456a b - 714048a b - 3669272a b +--R + +--R 5 6 6 5 7 4 8 3 +--R - 10916768a b - 20042336a b - 23099776a b - 16306304a b +--R + +--R 9 2 10 +--R - 6451200a b - 1096704a b +--R * +--R 2 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 24b + 1128a b + 17424a b + 124752a b + 497912a b +--R + +--R 5 6 6 5 7 4 8 3 +--R 1215752a b + 1894752a b + 1897280a b + 1183616a b +--R + +--R 9 2 10 +--R 419328a b + 64512a b +--R * +--R 5 +--R sin(x) +--R + +--R 8 3 9 2 10 24 +--R (32768a b - 393216a b + 491520a b)cos(x) +--R + +--R 7 4 8 3 9 2 10 +--R (- 131072a b + 1687552a b + 1130496a b - 5160960a b) +--R * +--R 22 +--R cos(x) +--R + +--R 6 5 7 4 8 3 9 2 +--R 206848a b - 3166208a b - 9854976a b + 8896512a b +--R + +--R 10 +--R 24606720a b +--R * +--R 20 +--R cos(x) +--R + +--R 5 6 6 5 7 4 8 3 +--R - 160768a b + 3452928a b + 20893696a b + 10881024a b +--R + +--R 9 2 10 +--R - 66247680a b - 70348800a b +--R * +--R 18 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 +--R 61440a b - 2413824a b - 22577664a b - 42300928a b +--R + +--R 8 3 9 2 10 +--R 54902528a b + 203996160a b + 134092800a b +--R * +--R 16 +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 +--R - 9024a b + 1090816a b + 14255808a b + 48027520a b +--R + +--R 7 4 8 3 9 2 10 +--R 3848448a b - 231184384a b - 376270848a b - 179159040a b +--R * +--R 14 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 +--R - 352a b - 298688a b - 5369216a b - 27897664a b +--R + +--R 6 5 7 4 8 3 +--R - 32814368a b + 127875328a b + 426632192a b +--R + +--R 9 2 10 +--R 459583488a b + 171601920a b +--R * +--R 12 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 +--R 168a b + 43136a b + 1151344a b + 8950464a b +--R + +--R 5 6 6 5 7 4 8 3 +--R 21026920a b - 34537152a b - 253383424a b - 472619008a b +--R + +--R 9 2 10 +--R - 385173504a b - 118333440a b +--R * +--R 10 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 8b - 2584a b - 125120a b - 1535536a b - 5952808a b +--R + +--R 5 6 6 5 7 4 8 3 +--R 3601528a b + 85867552a b + 250708224a b + 337312256a b +--R + +--R 9 2 10 +--R 222382080a b + 58060800a b +--R * +--R 8 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 48b + 5544a b + 125856a b + 796792a b + 71712a b +--R + +--R 5 6 6 5 7 4 +--R - 16996656a b - 73293056a b - 145847552a b +--R + +--R 8 3 9 2 10 +--R - 155854848a b - 86568960a b - 19660800a b +--R * +--R 6 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 72b - 3928a b - 44856a b - 20776a b + 1907856a b +--R + +--R 5 6 6 5 7 4 8 3 +--R 11579312a b + 32244000a b + 50121472a b + 44778496a b +--R + +--R 9 2 10 +--R 21540864a b + 4331520a b +--R * +--R 4 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 32b + 720a b - 944a b - 108104a b - 883872a b +--R + +--R 5 6 6 5 7 4 8 3 +--R - 3356536a b - 7223232a b - 9339136a b - 7204864a b +--R + +--R 9 2 10 +--R - 3062784a b - 552960a b +--R * +--R 2 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 80a b + 2280a b + 23992a b + 123608a b + 361880a b +--R + +--R 6 5 7 4 8 3 9 2 10 +--R 646624a b + 721152a b + 491264a b + 187392a b + 30720a b +--R * +--R 3 +--R sin(x) +--R + +--R 8 3 9 2 10 26 +--R (- 24576a b + 65536a b - 40960a b)cos(x) +--R + +--R 7 4 8 3 9 2 10 24 +--R (118784a b - 94208a b - 479232a b + 471040a b)cos(x) +--R + +--R 6 5 7 4 8 3 9 2 +--R - 239104a b - 325632a b + 1677312a b + 1081344a b +--R + +--R 10 +--R - 2480640a b +--R * +--R 22 +--R cos(x) +--R + +--R 5 6 6 5 7 4 8 3 +--R 258304a b + 1026048a b - 1525248a b - 6572544a b +--R + +--R 9 2 10 +--R 1140992a b + 7912960a b +--R * +--R 20 +--R cos(x) +--R + +--R 4 7 5 6 6 5 7 4 +--R - 160576a b - 1185536a b - 397440a b + 9412096a b +--R + +--R 8 3 9 2 10 +--R 11348160a b - 12311040a b - 17036800a b +--R * +--R 18 +--R cos(x) +--R + +--R 3 8 4 7 5 6 6 5 +--R 57056a b + 705472a b + 1524224a b - 5703808a b +--R + +--R 7 4 8 3 9 2 10 +--R - 20464480a b - 4863168a b + 33907968a b + 26104320a b +--R * +--R 16 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 +--R - 10784a b - 225792a b - 1028928a b + 1240320a b +--R + +--R 6 5 7 4 8 3 9 2 +--R 15042912a b + 21291776a b - 17650944a b - 54736896a b +--R + +--R 10 +--R - 29230080a b +--R * +--R 14 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 +--R 920a b + 36624a b + 310992a b + 182704a b +--R + +--R 5 6 6 5 7 4 8 3 +--R - 5590472a b - 17212832a b - 5665408a b + 41016576a b +--R + +--R 9 2 10 +--R 59023872a b + 24161280a b +--R * +--R 12 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 24b - 2560a b - 43360a b - 124032a b + 1065000a b +--R + +--R 5 6 6 5 7 4 8 3 +--R 6424496a b + 8768480a b - 12320512a b - 45355392a b +--R + +--R 9 2 10 +--R - 44227584a b - 14699520a b +--R * +--R 10 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 56b + 2400a b + 17584a b - 94392a b - 1203544a b +--R + +--R 5 6 6 5 7 4 8 3 +--R - 3238584a b + 626400a b + 16923584a b + 30791040a b +--R + +--R 9 2 10 +--R 23114240a b + 6476800a b +--R * +--R 8 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R - 40b - 768a b + 2904a b + 105632a b + 504528a b +--R + +--R 5 6 6 5 7 4 8 3 +--R 339616a b - 3311072a b - 10371840a b - 13363456a b +--R + +--R 9 2 10 +--R - 8239104a b - 1999360a b +--R * +--R 6 +--R cos(x) +--R + +--R 11 10 2 9 3 8 4 7 +--R 8b - 24a b - 3512a b - 31040a b - 47872a b +--R + +--R 5 6 6 5 7 4 8 3 +--R 355400a b + 1774368a b + 3509120a b + 3601152a b +--R + +--R 9 2 10 +--R 1897728a b + 407040a b +--R * +--R 4 +--R cos(x) +--R + +--R 10 2 9 3 8 4 7 5 6 +--R 32a b + 520a b + 1056a b - 20984a b - 144208a b +--R + +--R 6 5 7 4 8 3 9 2 +--R - 409824a b - 628480a b - 545088a b - 252416a b +--R + +--R 10 +--R - 48640a b +--R * +--R 2 +--R cos(x) +--R + +--R 2 9 3 8 4 7 5 6 6 5 7 4 +--R 24a b + 520a b + 4200a b + 16440a b + 35872a b + 46240a b +--R + +--R 8 3 9 2 10 +--R 35136a b + 14592a b + 2560a b +--R * +--R sin(x) +--R * +--R +-+ +--R \|a +--R * +--R +-------------+ +--R | 2 +--R \|b csc(x) + a +--R Type: Expression Integer +--E 518 + +--S 519 of 528 +t0398:= x/csc(x)^(3/2)-1/3*x*csc(x)^(1/2) +--R +--R +--R 2 +--R - x csc(x) + 3x +--R (479) ---------------- +--R +------+ +--R 3csc(x)\|csc(x) +--R Type: Expression Integer +--E 519 + +--S 520 of 528 +r0398:= -2/9*(-2*sin(x)+3*x*cos(x))/(1/sin(x))^(1/2) +--R +--R +--R 4sin(x) - 6x cos(x) +--R (480) ------------------- +--R +------+ +--R | 1 +--R 9 |------ +--R \|sin(x) +--R Type: Expression Integer +--E 520 + +--S 521 of 528 +a0398:= integrate(t0398,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 521 + +--S 522 of 528 +m0398:= a0398-r0398 +--R +--R +--R +------+ +--R | 1 +--R 9a0398 |------ - 4sin(x) + 6x cos(x) +--R \|sin(x) +--R (481) ------------------------------------- +--R +------+ +--R | 1 +--R 9 |------ +--R \|sin(x) +--R Type: Expression Integer +--E 522 + +--S 523 of 528 +d0398:= D(m0398,x) +--R +--R +--R 2 2 +--R - 2x sin(x) + x cos(x) +--R (482) ------------------------ +--R +------+ +--R | 1 +--R 3sin(x) |------ +--R \|sin(x) +--R Type: Expression Integer +--E 523 + +--S 524 of 528 +t0399:= x/csc(x)^(5/2)-3/5*x/csc(x)^(1/2) +--R +--R +--R 2 +--R - 3x csc(x) + 5x +--R (483) ----------------- +--R 2 +------+ +--R 5csc(x) \|csc(x) +--R Type: Expression Integer +--E 524 + +--S 525 of 528 +r0399:= 4/25/csc(x)^(5/2)-2/5*x*cos(x)/csc(x)^(3/2) +--R +--R +--R - 10x cos(x)csc(x) + 4 +--R (484) ---------------------- +--R 2 +------+ +--R 25csc(x) \|csc(x) +--R Type: Expression Integer +--E 525 + +--S 526 of 528 +a0399:= integrate(t0399,x) +--R +--R +--R >> Error detected within library code: +--R integrate: implementation incomplete (constant residues) +--R +--R Continuing to read the file... +--R +--E 526 + +--S 527 of 528 +m0399:= a0399-r0399 +--R +--R +--R 2 +------+ +--R 25a0399 csc(x) \|csc(x) + 10x cos(x)csc(x) - 4 +--R (485) ----------------------------------------------- +--R 2 +------+ +--R 25csc(x) \|csc(x) +--R Type: Expression Integer +--E 527 + +--S 528 of 528 +d0399:= D(m0399,x) +--R +--R +--R - 2x csc(x)sin(x) + (3x cos(x)cot(x) + 2cos(x))csc(x) - 2cot(x) +--R (486) --------------------------------------------------------------- +--R 2 +------+ +--R 5csc(x) \|csc(x) +--R Type: Expression Integer +--E 528 + +)spool +\end{chunk} +\eject +\begin{thebibliography}{99} +\bibitem{1} Albert D. Rich ``Rule-based Mathematics'' +\verb|www.apmaths.uwo.ca/~arich| +\end{thebibliography} +\end{document}