1 2*x
- ------ - ------
2 2
1 + x 1 + x
$$- \frac{2 x}{x^{2} + 1} - \frac{1}{x^{2} + 1}$$
/ 2 \
| x 2*x |
2*|-1 + ------ + ------|
| 2 2|
\ 1 + x 1 + x /
------------------------
2
1 + x
$$\frac{2 \left(\frac{2 x^{2}}{x^{2} + 1} + \frac{x}{x^{2} + 1} - 1\right)}{x^{2} + 1}$$
/ 3 2 \
| 8*x 4*x |
2*|1 + 6*x - ------ - ------|
| 2 2|
\ 1 + x 1 + x /
-----------------------------
2
/ 2\
\1 + x /
$$\frac{2 \left(- \frac{8 x^{3}}{x^{2} + 1} - \frac{4 x^{2}}{x^{2} + 1} + 6 x + 1\right)}{\left(x^{2} + 1\right)^{2}}$$