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