/ 2 3 \
| 2 3*atan (x) 2*x*atan (x)|
4*|- ------ + ---------- - ------------|
| 4/3 2 2 |
| 9*x / 2\ / 2\ |
\ \1 + x / \1 + x / /
$$4 \left(- \frac{2 x \operatorname{atan}^{3}{\left(x \right)}}{\left(x^{2} + 1\right)^{2}} + \frac{3 \operatorname{atan}^{2}{\left(x \right)}}{\left(x^{2} + 1\right)^{2}} - \frac{2}{9 x^{\frac{4}{3}}}\right)$$
/ 3 2 2 3 \
| 4 atan (x) 3*atan(x) 9*x*atan (x) 4*x *atan (x)|
8*|------- - --------- + --------- - ------------ + -------------|
| 7/3 2 3 3 3 |
|27*x / 2\ / 2\ / 2\ / 2\ |
\ \1 + x / \1 + x / \1 + x / \1 + x / /
$$8 \left(\frac{4 x^{2} \operatorname{atan}^{3}{\left(x \right)}}{\left(x^{2} + 1\right)^{3}} - \frac{9 x \operatorname{atan}^{2}{\left(x \right)}}{\left(x^{2} + 1\right)^{3}} - \frac{\operatorname{atan}^{3}{\left(x \right)}}{\left(x^{2} + 1\right)^{2}} + \frac{3 \operatorname{atan}{\left(x \right)}}{\left(x^{2} + 1\right)^{3}} + \frac{4}{27 x^{\frac{7}{3}}}\right)$$