# Solving integrals with the table of integrals

1. Mar 8, 2012

### Jgoshorn1

1. The problem statement, all variables and given/known data

∫e2xarctan(ex)dx

2. Relevant equations

From the table of integrals:
#92 ∫utan-1udu = (u2+1)/2)tan-1-u/2 + c

or

#95 ∫untan-1udu = 1/(n+1)[un+1tan-1-∫ (un+1du)/(1+u2) , n≠-1

3. The attempt at a solution

The answer is 1/2(e2x+1)arctan(ex) - (1/2)ex + C

I don't know if I'm supposed to make a substitution first and if so what I should substitute and/or if which from I should use from the table. I've tried to make the initial substitution of e2x and ex and they both got me seemingly nowhere. Help please.

2. Mar 8, 2012

### LCKurtz

Try $u=e^x$ and see if you can't get it in a form to use 95 with $u^n$ in front for some $n$.