Integration Problem

1. May 29, 2007

bilalbajwa

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

I have tried a lot. The condition is i dont want to use integration tables.

Last edited: May 29, 2007
2. May 29, 2007

MWG@berlin

3. May 29, 2007

bilalbajwa

I need method to solve it!!!!!!!!!!!!!!!!

4. May 29, 2007

bilalbajwa

Last edited by a moderator: Apr 22, 2017
5. Jun 1, 2007

Droner

I would first integrate arctanx by parts (u=arctanx, v'=1), and then integrate xarctanx by parts (u=x, v'=arctanx)

6. Jun 2, 2007

Gib Z

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