Integrating $\int x\arctan(x)dx$ without Tables

[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.

 

[MWG@berlin]

http://integrals.wolfram.com/index.jsp

 

[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

 

[Droner]

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

 

[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