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