Evaluate the indefinite integral of:
arctan(4x) dx

This one I am stuck. I would like a hint. I tried to do substitution after I used Integration by Parts, but then I got stuck:

http://i1084.photobucket.com/albums/j409/QRAWarrior/MATA30/arctan4xdx-IMG-002.png

Question

Evaluate the indefinite integral of:
arctan(4x) dx 

This one I am stuck. I would like a hint. I tried to do substitution after I used Integration by Parts, but then I got stuck:

http://i1084.photobucket.com/albums/j409/QRAWarrior/MATA30/arctan4xdx-IMG-002.png

anonymous · Answer

attachment

anonymous · Answer

Please see attachment if you cannot see the image from the link.

turingtest · Answer

try$$u=1+8x^2$$

turingtest · Answer

from where you are I mean

anonymous · Answer

OK.

anonymous · Answer

Actually, I subbed in 1 + 16x^2 and from there, I got 4ln(u) + C

anonymous · Answer

But thank you for your suggestion anyways. It was close enough.

turingtest · Answer

oh yeah 4^2 is not 8...
oops, I'm distracted