# Integration Problem

bilalbajwa
Hi guys,
Can anybody tell me how to integrate
$$\int x\arctan(x) dx$$

I have tried a lot. The condition is i don't want to use integration tables.

Last edited:

MWG@berlin
bilalbajwa
I need method to solve it!

bilalbajwa
OK i find that on internet. Thanks viewers.
http://www.maths.abdn.ac.uk/~igc/tch/ma1002/int/node34.html

Last edited by a moderator:
Droner
I would first integrate arctanx by parts (u=arctanx, v'=1), and then integrate xarctanx by parts (u=x, v'=arctanx)

Homework Helper
We can avoid the first integration by parts of arctan x by choosing u' = x and v = arctan x for integrating x arctan x