1. ## Ugly integral

Hello
was wondering if someone could help me with this integral.
Integral (Square root(arctanx))/(1+(x^2))
I have no clue how to work with the arctanx, i know it is tan^-1(x)
Thanks in advance for the help.

2. $\arctan x=t\Rightarrow\frac{1}{1+x^2}dx=dt$

Then $I=\int\sqrt{t}dt=\frac{2}{3}t\sqrt{t}+C$