/ 2\ atan\x / / x \ -------- + 2*log|------| 2 \sin(x)/ 1 - x
atan(x^2)/(1 - x^2) + 2*log(x/sin(x))
/ 1 x*cos(x)\ 2*|------ - --------|*sin(x) / 2\ |sin(x) 2 | 2*x 2*x*atan\x / \ sin (x) / ----------------- + ------------ + ---------------------------- / 4\ / 2\ 2 x \1 + x /*\1 - x / / 2\ \1 - x /
/ 2 \ | 2*cos(x) 2*x*cos (x) | |x - -------- + ----------- x*cos(x) / x*cos(x)\ | | sin(x) 2 -1 + -------- / 2\ 2 / 2\ 2 4 |-1 + --------|*cos(x)| | sin (x) sin(x) atan\x / 1 4*x *atan\x / 4*x 4*x \ sin(x) / | 2*|-------------------------- + ------------- + ---------- - ------------------ - ------------- + ------------------- + ------------------- - ----------------------| | x 2 2 / 4\ / 2\ 3 2 2 x*sin(x) | | x / 2\ \1 + x /*\-1 + x / / 2\ / 4\ / 2\ / 4\ / 2\ | \ \-1 + x / \-1 + x / \1 + x /*\-1 + x / \1 + x / *\-1 + x / /
/ 2 3 / 2 \ / 2 \ \ | 6*cos (x) 5*x*cos(x) 6*x*cos (x) | 2*cos(x) 2*x*cos (x)| | 2*cos(x) 2*x*cos (x)| | | x*cos(x) -3 - --------- + ---------- + ----------- / x*cos(x)\ 2*|x - -------- + -----------| 2*|x - -------- + -----------|*cos(x) / x*cos(x)\ | |-1 + -------- 2 sin(x) 3 2*|-1 + --------| | sin(x) 2 | 7 3 5 / 2\ 3 3 / 2\ | sin(x) 2 | 2*|-1 + --------|*cos(x)| | sin(x) sin (x) sin (x) \ sin(x) / \ sin (x) / 32*x 24*x 24*x 12*x*atan\x / 12*x 20*x 24*x *atan\x / \ sin (x) / \ sin(x) / | 2*|------------- - ----------------------------------------- - ----------------- - ------------------------------ - ------------------- - ------------------- - -------------------- - ------------- + ------------------- + ------------------- + -------------- + ------------------------------------- + ------------------------| | x x 3 2 3 3 2 2 3 2 2 4 x*sin(x) 2 | | x x / 4\ / 2\ / 4\ / 2\ / 4\ / 2\ / 2\ / 4\ / 2\ / 4\ / 2\ / 2\ x *sin(x) | \ \1 + x / *\-1 + x / \1 + x /*\-1 + x / \1 + x / *\-1 + x / \-1 + x / \1 + x /*\-1 + x / \1 + x / *\-1 + x / \-1 + x / /