/ 2 \
73/2 | 1 cot (x)|
3 2/ 4\ 73*cot (x)*|- - - -------|
12*x *acos \x / \ 2 2 /
- --------------- + -----------------------------
________ cot(x)
/ 8
\/ 1 - x
$$- \frac{12 x^{3} \operatorname{acos}^{2}{\left(x^{4} \right)}}{\sqrt{1 - x^{8}}} + \frac{73 \left(- \frac{\cot^{2}{\left(x \right)}}{2} - \frac{1}{2}\right) \cot^{\frac{73}{2}}{\left(x \right)}}{\cot{\left(x \right)}}$$
2
/ 2 \ 69/2 6 / 4\ 10 2/ 4\ 2 2/ 4\
73/2 / 2 \ 5183*\1 + cot (x)/ *cot (x) 96*x *acos\x / 48*x *acos \x / 36*x *acos \x /
73*cot (x)*\1 + cot (x)/ + ------------------------------ - -------------- - ---------------- - ---------------
4 8 3/2 ________
-1 + x / 8\ / 8
\1 - x / \/ 1 - x
$$- \frac{48 x^{10} \operatorname{acos}^{2}{\left(x^{4} \right)}}{\left(1 - x^{8}\right)^{\frac{3}{2}}} - \frac{96 x^{6} \operatorname{acos}{\left(x^{4} \right)}}{x^{8} - 1} - \frac{36 x^{2} \operatorname{acos}^{2}{\left(x^{4} \right)}}{\sqrt{1 - x^{8}}} + \frac{5183 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} \cot^{\frac{69}{2}}{\left(x \right)}}{4} + 73 \left(\cot^{2}{\left(x \right)} + 1\right) \cot^{\frac{73}{2}}{\left(x \right)}$$
3 2
9 / 2 \ 67/2 / 2 \ 71/2 5 / 4\ 9 2/ 4\ 17 2/ 4\ 2/ 4\ 13 / 4\
384*x 75/2 / 2 \ 357627*\1 + cot (x)/ *cot (x) 15695*\1 + cot (x)/ *cot (x) 864*x *acos\x / 624*x *acos \x / 576*x *acos \x / 72*x*acos \x / 1152*x *acos\x /
- ----------- - 146*cot (x)*\1 + cot (x)/ - -------------------------------- - ------------------------------- - --------------- - ---------------- - ----------------- - -------------- + -----------------
3/2 8 2 8 3/2 5/2 ________ 2
/ 8\ -1 + x / 8\ / 8\ / 8 / 8\
\1 - x / \1 - x / \1 - x / \/ 1 - x \-1 + x /
$$- \frac{576 x^{17} \operatorname{acos}^{2}{\left(x^{4} \right)}}{\left(1 - x^{8}\right)^{\frac{5}{2}}} + \frac{1152 x^{13} \operatorname{acos}{\left(x^{4} \right)}}{\left(x^{8} - 1\right)^{2}} - \frac{624 x^{9} \operatorname{acos}^{2}{\left(x^{4} \right)}}{\left(1 - x^{8}\right)^{\frac{3}{2}}} - \frac{384 x^{9}}{\left(1 - x^{8}\right)^{\frac{3}{2}}} - \frac{864 x^{5} \operatorname{acos}{\left(x^{4} \right)}}{x^{8} - 1} - \frac{72 x \operatorname{acos}^{2}{\left(x^{4} \right)}}{\sqrt{1 - x^{8}}} - \frac{357627 \left(\cot^{2}{\left(x \right)} + 1\right)^{3} \cot^{\frac{67}{2}}{\left(x \right)}}{8} - \frac{15695 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} \cot^{\frac{71}{2}}{\left(x \right)}}{2} - 146 \left(\cot^{2}{\left(x \right)} + 1\right) \cot^{\frac{75}{2}}{\left(x \right)}$$