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