The answer (Indefinite)
[src]
$${{32\,\left(3\,\int {{{x^2\,\arctan x\,\left(\log \left(x^2+1
\right)\right)^2}\over{32\,x^2+32}}}{\;dx}+3\,\int {{{\arctan x\,
\left(\log \left(x^2+1\right)\right)^2}\over{32\,x^2+32}}}{\;dx}+3\,
\int {{{x\,\left(\log \left(x^2+1\right)\right)^2}\over{32\,x^2+32}}
}{\;dx}+12\,\int {{{x^2\,\arctan x\,\log \left(x^2+1\right)}\over{32
\,x^2+32}}}{\;dx}+28\,\int {{{x^2\,\arctan ^3x}\over{32\,x^2+32}}
}{\;dx}-12\,\int {{{x\,\arctan ^2x}\over{32\,x^2+32}}}{\;dx}+{{7\,
\arctan ^4x}\over{32}}\right)-3\,x\,\arctan x\,\left(\log \left(x^2+
1\right)\right)^2+4\,x\,\arctan ^3x}\over{32}}$$
1
/
|
| 3
| atan (x) dx
|
/
0
$$\int_{0}^{1}{\arctan ^3x\;dx}$$
=
1
/
|
| 3
| atan (x) dx
|
/
0
$$\int\limits_{0}^{1} \operatorname{atan}^{3}{\left(x \right)}\, dx$$