How do I solve \intarctan(1/x)dx?

[dgoudie]

[SOLVED] Integration by parts help.

Homework Statement

I'm working on ym Math assignment, and we are currently doing Integration by parts. I haven't had too much trouble except with the last 3. Ill only post the first of those 3 for now.
I need to find $$\int$$arctan(1/x)dx

Homework Equations

The Attempt at a Solution

I picked u to be arctan(1/x) and dv to be 1.

so far this is what i have:
=xarctan(1/x) - $$\int$$ (-x)/(x$$^{2}$$ +1) dx

Have I done it right so far? Any tips on how to procede?

 

[rocomath]

use a u=subt for your integral and you're done!

 

[dgoudie]

I got xarctan(1/x) + 1/2ln(x^2 +1) + c as my final answer.

Does that look right?

 

[rocomath]

that's what i got :-]

 

[dgoudie]

Alright thanks a lot.

Edit Nevermind found what i was doing wrong