/ ___ 2\
2 / 1 \ 2*\\/ x + 3*x /*atan(x)
atan (x)*|------- + 6*x| + ------------------------
| ___ | 2
\2*\/ x / 1 + x
$$\frac{2 \left(\sqrt{x} + 3 x^{2}\right) \operatorname{atan}{\left(x \right)}}{x^{2} + 1} + \left(6 x + \frac{1}{2 \sqrt{x}}\right) \operatorname{atan}^{2}{\left(x \right)}$$
2 / 1 \ / 1 \
atan (x)*|24 - ----| 2*|----- + 12*x|*atan(x)
| 3/2| / ___ 2\ | ___ |
\ x / 2*(-1 + 2*x*atan(x))*\\/ x + 3*x / \\/ x /
-------------------- - ----------------------------------- + ------------------------
4 2 2
/ 2\ 1 + x
\1 + x /
$$\frac{\left(24 - \frac{1}{x^{\frac{3}{2}}}\right) \operatorname{atan}^{2}{\left(x \right)}}{4} - \frac{2 \left(\sqrt{x} + 3 x^{2}\right) \left(2 x \operatorname{atan}{\left(x \right)} - 1\right)}{\left(x^{2} + 1\right)^{2}} + \frac{2 \left(12 x + \frac{1}{\sqrt{x}}\right) \operatorname{atan}{\left(x \right)}}{x^{2} + 1}$$
/ 2 \
/ ___ 2\ | 3*x 4*x *atan(x) | / 1 \ / 1 \
4*\\/ x + 3*x /*|------ - ------------ + atan(x)| 3*(-1 + 2*x*atan(x))*|----- + 12*x| 3*|24 - ----|*atan(x)
2 | 2 2 | | ___ | | 3/2|
3*atan (x) \1 + x 1 + x / \\/ x / \ x /
---------- - -------------------------------------------------- - ----------------------------------- + ---------------------
5/2 2 2 / 2\
8*x / 2\ / 2\ 2*\1 + x /
\1 + x / \1 + x /
$$\frac{3 \left(24 - \frac{1}{x^{\frac{3}{2}}}\right) \operatorname{atan}{\left(x \right)}}{2 \left(x^{2} + 1\right)} - \frac{4 \left(\sqrt{x} + 3 x^{2}\right) \left(- \frac{4 x^{2} \operatorname{atan}{\left(x \right)}}{x^{2} + 1} + \frac{3 x}{x^{2} + 1} + \operatorname{atan}{\left(x \right)}\right)}{\left(x^{2} + 1\right)^{2}} - \frac{3 \left(12 x + \frac{1}{\sqrt{x}}\right) \left(2 x \operatorname{atan}{\left(x \right)} - 1\right)}{\left(x^{2} + 1\right)^{2}} + \frac{3 \operatorname{atan}^{2}{\left(x \right)}}{8 x^{\frac{5}{2}}}$$