/ 2 \
7/2 | 3 3*cot (3*x)|
3 2/ 4\ 7*cot (3*x)*|- - - -----------|
12*x *acos \x / \ 2 2 /
- --------------- + ---------------------------------
________ cot(3*x)
/ 8
\/ 1 - x
$$- \frac{12 x^{3} \operatorname{acos}^{2}{\left(x^{4} \right)}}{\sqrt{1 - x^{8}}} + \frac{7 \left(- \frac{3 \cot^{2}{\left(3 x \right)}}{2} - \frac{3}{2}\right) \cot^{\frac{7}{2}}{\left(3 x \right)}}{\cot{\left(3 x \right)}}$$
/ 2 \
| / 2 \ 3/2 6 / 4\ 10 2/ 4\ 2 2/ 4\|
| 7/2 / 2 \ 105*\1 + cot (3*x)/ *cot (3*x) 32*x *acos\x / 16*x *acos \x / 12*x *acos \x /|
3*|21*cot (3*x)*\1 + cot (3*x)/ + -------------------------------- - -------------- - ---------------- - ---------------|
| 4 8 3/2 ________ |
| -1 + x / 8\ / 8 |
\ \1 - x / \/ 1 - x /
$$3 \left(- \frac{16 x^{10} \operatorname{acos}^{2}{\left(x^{4} \right)}}{\left(1 - x^{8}\right)^{\frac{3}{2}}} - \frac{32 x^{6} \operatorname{acos}{\left(x^{4} \right)}}{x^{8} - 1} - \frac{12 x^{2} \operatorname{acos}^{2}{\left(x^{4} \right)}}{\sqrt{1 - x^{8}}} + \frac{105 \left(\cot^{2}{\left(3 x \right)} + 1\right)^{2} \cot^{\frac{3}{2}}{\left(3 x \right)}}{4} + 21 \left(\cot^{2}{\left(3 x \right)} + 1\right) \cot^{\frac{7}{2}}{\left(3 x \right)}\right)$$
/ 2 3 \
| 9 / 2 \ 5/2 / 2 \ __________ 5 / 4\ 9 2/ 4\ 17 2/ 4\ 2/ 4\ 13 / 4\|
| 128*x 9/2 / 2 \ 1071*\1 + cot (3*x)/ *cot (3*x) 945*\1 + cot (3*x)/ *\/ cot(3*x) 288*x *acos\x / 208*x *acos \x / 192*x *acos \x / 24*x*acos \x / 384*x *acos\x /|
3*|- ----------- - 126*cot (3*x)*\1 + cot (3*x)/ - --------------------------------- - --------------------------------- - --------------- - ---------------- - ----------------- - -------------- + ----------------|
| 3/2 2 8 8 3/2 5/2 ________ 2 |
| / 8\ -1 + x / 8\ / 8\ / 8 / 8\ |
\ \1 - x / \1 - x / \1 - x / \/ 1 - x \-1 + x / /
$$3 \left(- \frac{192 x^{17} \operatorname{acos}^{2}{\left(x^{4} \right)}}{\left(1 - x^{8}\right)^{\frac{5}{2}}} + \frac{384 x^{13} \operatorname{acos}{\left(x^{4} \right)}}{\left(x^{8} - 1\right)^{2}} - \frac{208 x^{9} \operatorname{acos}^{2}{\left(x^{4} \right)}}{\left(1 - x^{8}\right)^{\frac{3}{2}}} - \frac{128 x^{9}}{\left(1 - x^{8}\right)^{\frac{3}{2}}} - \frac{288 x^{5} \operatorname{acos}{\left(x^{4} \right)}}{x^{8} - 1} - \frac{24 x \operatorname{acos}^{2}{\left(x^{4} \right)}}{\sqrt{1 - x^{8}}} - \frac{945 \left(\cot^{2}{\left(3 x \right)} + 1\right)^{3} \sqrt{\cot{\left(3 x \right)}}}{8} - \frac{1071 \left(\cot^{2}{\left(3 x \right)} + 1\right)^{2} \cot^{\frac{5}{2}}{\left(3 x \right)}}{2} - 126 \left(\cot^{2}{\left(3 x \right)} + 1\right) \cot^{\frac{9}{2}}{\left(3 x \right)}\right)$$