/ 2 4 / 2\ \
| 2*x 4*x *atan\x / / 2\|
4*|------ - ------------- + atan\x /|
| 4 4 |
\1 + x 1 + x /
-------------------------------------
4
1 + x
$$\frac{4 \left(- \frac{4 x^{4} \operatorname{atan}{\left(x^{2} \right)}}{x^{4} + 1} + \frac{2 x^{2}}{x^{4} + 1} + \operatorname{atan}{\left(x^{2} \right)}\right)}{x^{4} + 1}$$
/ 4 6 / 2\\
| 12*x 2 / 2\ 16*x *atan\x /|
8*x*|3 - ------ - 10*x *atan\x / + --------------|
| 4 4 |
\ 1 + x 1 + x /
--------------------------------------------------
2
/ 4\
\1 + x /
$$\frac{8 x \left(\frac{16 x^{6} \operatorname{atan}{\left(x^{2} \right)}}{x^{4} + 1} - \frac{12 x^{4}}{x^{4} + 1} - 10 x^{2} \operatorname{atan}{\left(x^{2} \right)} + 3\right)}{\left(x^{4} + 1\right)^{2}}$$