2
1 3*x *acos(x)
- -------------------- - ------------
________ 2
/ 2 / 3 \ / 3 \
\/ 1 - x *\x + 1/ \x + 1/
$$- \frac{3 x^{2} \operatorname{acos}{\left(x \right)}}{\left(x^{3} + 1\right)^{2}} - \frac{1}{\sqrt{- x^{2} + 1} \left(x^{3} + 1\right)}$$
/ / 3 \ \
| | 3*x | |
| 6*|-1 + ------|*acos(x)|
| | 3| |
| 1 6*x \ 1 + x / |
x*|- ----------- + -------------------- + -----------------------|
| 3/2 ________ 3 |
| / 2\ / 3\ / 2 1 + x |
\ \1 - x / \1 + x /*\/ 1 - x /
------------------------------------------------------------------
3
1 + x
$$\frac{x \left(\frac{6 \cdot \left(\frac{3 x^{3}}{x^{3} + 1} - 1\right) \operatorname{acos}{\left(x \right)}}{x^{3} + 1} + \frac{6 x}{\sqrt{- x^{2} + 1} \left(x^{3} + 1\right)} - \frac{1}{\left(- x^{2} + 1\right)^{\frac{3}{2}}}\right)}{x^{3} + 1}$$
/ 3 6 \
2 | 18*x 27*x | / 3 \
3*x 6*|1 - ------ + ---------|*acos(x) | 3*x |
-1 + ------- | 3 2| 18*x*|-1 + ------|
2 | 1 + x / 3\ | 3 | 3|
-1 + x \ \1 + x / / 9*x \ 1 + x /
------------ - ---------------------------------- + -------------------- - --------------------
3/2 3 3/2 ________
/ 2\ 1 + x / 3\ / 2\ / 3\ / 2
\1 - x / \1 + x /*\1 - x / \1 + x /*\/ 1 - x
-----------------------------------------------------------------------------------------------
3
1 + x
$$\frac{- \frac{6 \cdot \left(\frac{27 x^{6}}{\left(x^{3} + 1\right)^{2}} - \frac{18 x^{3}}{x^{3} + 1} + 1\right) \operatorname{acos}{\left(x \right)}}{x^{3} + 1} - \frac{18 x \left(\frac{3 x^{3}}{x^{3} + 1} - 1\right)}{\sqrt{- x^{2} + 1} \left(x^{3} + 1\right)} + \frac{9 x^{3}}{\left(- x^{2} + 1\right)^{\frac{3}{2}} \left(x^{3} + 1\right)} + \frac{\frac{3 x^{2}}{x^{2} - 1} - 1}{\left(- x^{2} + 1\right)^{\frac{3}{2}}}}{x^{3} + 1}$$