# Integrate (xe^x)/(sqrt[1+e^x])

1. Feb 9, 2010

### RoganSarine

1. The problem statement, all variables and given/known data
Integrate: (xe^x)/(sqrt[1+e^x])

2. Relevant equations

3. The attempt at a solution

I tried substituting

u = e^x

So the equation became:

Integrate: ln|u|/sqrt[1+u]

But... That doesn't help me.

Trig substitution doesn't really help, neither does partial fractions. By parts doesn't work because of the fraction... So there's GOT to be a substitution I can't see.

2. Feb 10, 2010

### Mandark

Try $$u = \sqrt{1 + e^{x}}$$