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