/ 3 \
| 2 24*x |
3*|--------- + ---------|
2 | 4 5| 2
/ 3\ |/ 3\ / 3\ | 3 / 3\ 2 / 3\
\1 - x / \\1 - x / \1 - x / / 6*x *\1 - x / 2*x *\1 - x /
--------- - ------------------------- - ------------- - --------------
2 / 2 \ 2 2
1 + x | 4*x | 1 + x / 2\
4*|1 + ---------| \1 + x /
| 8|
| / 3\ |
\ \1 - x / /
$$- \frac{6 x^{3} \cdot \left(- x^{3} + 1\right)}{x^{2} + 1} - \frac{2 x^{2} \left(- x^{3} + 1\right)^{2}}{\left(x^{2} + 1\right)^{2}} + \frac{\left(- x^{3} + 1\right)^{2}}{x^{2} + 1} - \frac{3 \cdot \left(\frac{24 x^{3}}{\left(- x^{3} + 1\right)^{5}} + \frac{2}{\left(- x^{3} + 1\right)^{4}}\right)}{4 \cdot \left(1 + \frac{4 x^{2}}{\left(- x^{3} + 1\right)^{8}}\right)}$$
/ 2 \
| / 3 \ / 3 \ |
| | 12*x | | 15*x | |
| 2 2 6*|-1 + -------| 9*x*|-4 + -------| |
| / 3\ 4 3 / 3\ 2 / 3\ | 3| / 3\ | 3| |
| 3*\-1 + x / 9*x 12*x *\-1 + x / 4*x *\-1 + x / \ -1 + x / 12*x*\-1 + x / \ -1 + x / |
2*x*|- ------------ + ------ - --------------- + --------------- + ----------------------------- + -------------- - ---------------------------|
| 2 2 2 3 2 2 / 2 \ 5|
| / 2\ 1 + x / 2\ / 2\ / 2 \ 12 1 + x | 4*x | / 3\ |
| \1 + x / \1 + x / \1 + x / | 4*x | / 3\ |1 + ----------|*\-1 + x / |
| |1 + ----------| *\-1 + x / | 8| |
| | 8| | / 3\ | |
| | / 3\ | \ \-1 + x / / |
\ \ \-1 + x / / /
$$2 x \left(\frac{9 x^{4}}{x^{2} + 1} - \frac{12 x^{3} \left(x^{3} - 1\right)}{\left(x^{2} + 1\right)^{2}} + \frac{4 x^{2} \left(x^{3} - 1\right)^{2}}{\left(x^{2} + 1\right)^{3}} + \frac{12 x \left(x^{3} - 1\right)}{x^{2} + 1} - \frac{3 \left(x^{3} - 1\right)^{2}}{\left(x^{2} + 1\right)^{2}} - \frac{9 x \left(\frac{15 x^{3}}{x^{3} - 1} - 4\right)}{\left(x^{3} - 1\right)^{5} \cdot \left(1 + \frac{4 x^{2}}{\left(x^{3} - 1\right)^{8}}\right)} + \frac{6 \left(\frac{12 x^{3}}{x^{3} - 1} - 1\right)^{2}}{\left(x^{3} - 1\right)^{12} \left(1 + \frac{4 x^{2}}{\left(x^{3} - 1\right)^{8}}\right)^{2}}\right)$$
/ / 3 \ / 3 6 \ / 3 6 \ 3 \
| | 12*x | | 72*x 324*x | | 135*x 270*x | / 3 \ / 3 \ / 3 \|
| 2*|-1 + -------|*|1 - ------- + ----------| 3*x*|8 - ------- + ----------| 2 | 12*x | 3 | 12*x | | 15*x ||
| 2 2 2 | 3| | 3 2| | 3 2| 32*x *|-1 + -------| 48*x *|-1 + -------|*|-4 + -------||
| / 3\ 6 4 3 / 3\ 4 / 3\ / 3\ 2 / 3\ 5 / 3\ \ -1 + x / | -1 + x / 3\ | | -1 + x / 3\ | | 3| | 3| | 3||
| \-1 + x / 18*x 27*x 30*x *\-1 + x / 8*x *\-1 + x / 8*x*\-1 + x / 8*x *\-1 + x / 24*x *\-1 + x / \ \-1 + x / / \ \-1 + x / / \ -1 + x / \ -1 + x / \ -1 + x /|
6*|- ---------- - --------- + ------ - --------------- - --------------- + ------------- + --------------- + --------------- - ------------------------------------------- + ------------------------------ + ----------------------------- - -----------------------------------|
| 2 2 2 2 4 2 3 3 2 / 2 \ 5 3 2 |
| / 2\ / 2\ 1 + x / 2\ / 2\ 1 + x / 2\ / 2\ / 2 \ 12 | 4*x | / 3\ / 2 \ 20 / 2 \ 13 |
| \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / \1 + x / | 4*x | / 3\ |1 + ----------|*\-1 + x / | 4*x | / 3\ | 4*x | / 3\ |
| |1 + ----------| *\-1 + x / | 8| |1 + ----------| *\-1 + x / |1 + ----------| *\-1 + x / |
| | 8| | / 3\ | | 8| | 8| |
| | / 3\ | \ \-1 + x / / | / 3\ | | / 3\ | |
\ \ \-1 + x / / \ \-1 + x / / \ \-1 + x / / /
$$6 \left(- \frac{18 x^{6}}{\left(x^{2} + 1\right)^{2}} + \frac{24 x^{5} \left(x^{3} - 1\right)}{\left(x^{2} + 1\right)^{3}} + \frac{27 x^{4}}{x^{2} + 1} - \frac{8 x^{4} \left(x^{3} - 1\right)^{2}}{\left(x^{2} + 1\right)^{4}} - \frac{30 x^{3} \left(x^{3} - 1\right)}{\left(x^{2} + 1\right)^{2}} + \frac{8 x^{2} \left(x^{3} - 1\right)^{2}}{\left(x^{2} + 1\right)^{3}} + \frac{8 x \left(x^{3} - 1\right)}{x^{2} + 1} - \frac{\left(x^{3} - 1\right)^{2}}{\left(x^{2} + 1\right)^{2}} + \frac{3 x \left(\frac{270 x^{6}}{\left(x^{3} - 1\right)^{2}} - \frac{135 x^{3}}{x^{3} - 1} + 8\right)}{\left(x^{3} - 1\right)^{5} \cdot \left(1 + \frac{4 x^{2}}{\left(x^{3} - 1\right)^{8}}\right)} - \frac{48 x^{3} \cdot \left(\frac{12 x^{3}}{x^{3} - 1} - 1\right) \left(\frac{15 x^{3}}{x^{3} - 1} - 4\right)}{\left(x^{3} - 1\right)^{13} \left(1 + \frac{4 x^{2}}{\left(x^{3} - 1\right)^{8}}\right)^{2}} - \frac{2 \cdot \left(\frac{12 x^{3}}{x^{3} - 1} - 1\right) \left(\frac{324 x^{6}}{\left(x^{3} - 1\right)^{2}} - \frac{72 x^{3}}{x^{3} - 1} + 1\right)}{\left(x^{3} - 1\right)^{12} \left(1 + \frac{4 x^{2}}{\left(x^{3} - 1\right)^{8}}\right)^{2}} + \frac{32 x^{2} \left(\frac{12 x^{3}}{x^{3} - 1} - 1\right)^{3}}{\left(x^{3} - 1\right)^{20} \left(1 + \frac{4 x^{2}}{\left(x^{3} - 1\right)^{8}}\right)^{3}}\right)$$