/ 1 \
3*atan|1*--|
| 3|
\ x / 3
- ------------ - --------------
4 4 3 / 1 \
x x *x *|1 + --|
| 6|
\ x /
$$- \frac{3 \operatorname{atan}{\left(1 \cdot \frac{1}{x^{3}} \right)}}{x^{4}} - \frac{3}{x^{3} x^{4} \cdot \left(1 + \frac{1}{x^{6}}\right)}$$
/ 3 \
| 2 - -----------|
| 6 / 1 \|
| x *|1 + --||
| | 6||
| /1 \ 3 \ x /|
6*|2*atan|--| + ----------- + ---------------|
| | 3| 3 / 1 \ 3 / 1 \ |
| \x / x *|1 + --| x *|1 + --| |
| | 6| | 6| |
\ \ x / \ x / /
----------------------------------------------
5
x
$$\frac{6 \cdot \left(2 \operatorname{atan}{\left(\frac{1}{x^{3}} \right)} + \frac{2 - \frac{3}{x^{6} \cdot \left(1 + \frac{1}{x^{6}}\right)}}{x^{3} \cdot \left(1 + \frac{1}{x^{6}}\right)} + \frac{3}{x^{3} \cdot \left(1 + \frac{1}{x^{6}}\right)}\right)}{x^{5}}$$
/ 45 36 \
| 10 - ----------- + ------------- / 3 \|
| 6 / 1 \ 2 9*|2 - -----------||
| x *|1 + --| 12 / 1 \ | 6 / 1 \||
| | 6| x *|1 + --| | x *|1 + --|||
| \ x / | 6| | | 6|||
| /1 \ 18 \ x / \ \ x //|
-6*|10*atan|--| + ----------- + -------------------------------- + -------------------|
| | 3| 3 / 1 \ 3 / 1 \ 3 / 1 \ |
| \x / x *|1 + --| x *|1 + --| x *|1 + --| |
| | 6| | 6| | 6| |
\ \ x / \ x / \ x / /
---------------------------------------------------------------------------------------
6
x
$$- \frac{6 \cdot \left(10 \operatorname{atan}{\left(\frac{1}{x^{3}} \right)} + \frac{9 \cdot \left(2 - \frac{3}{x^{6} \cdot \left(1 + \frac{1}{x^{6}}\right)}\right)}{x^{3} \cdot \left(1 + \frac{1}{x^{6}}\right)} + \frac{10 - \frac{45}{x^{6} \cdot \left(1 + \frac{1}{x^{6}}\right)} + \frac{36}{x^{12} \left(1 + \frac{1}{x^{6}}\right)^{2}}}{x^{3} \cdot \left(1 + \frac{1}{x^{6}}\right)} + \frac{18}{x^{3} \cdot \left(1 + \frac{1}{x^{6}}\right)}\right)}{x^{6}}$$