Integral of (ln(e^x + 1))^(1/3) / (e^x + 1)

[ravenea]

Homework Statement

Integral of (ln(e^x + 1))^(1/3) / (e^x + 1)
See http://www2.wolframalpha.com/input/?i=integral+of+(ln(e**x+++1))**(1/3)/(e**x+++1)"

Homework Equations

N/A

The Attempt at a Solution

First, substitute k = ln(e^x + 1) dk = dx(e^x)/(e^x + 1)
Then, used integration by parts, but got to a loop...

 

[LCKurtz]

Homework Statement

Integral of (ln(e^x + 1))^(1/3) / (e^x + 1)
See http://www2.wolframalpha.com/input/?i=integral+of+(ln(e**x+++1))**(1/3)/(e**x+++1)"

Homework Equations

N/A

The Attempt at a Solution

First, substitute k = ln(e^x + 1) dk = dx(e^x)/(e^x + 1)
Then, used integration by parts, but got to a loop...

If you let u = ln(e^x+1) show us what you get for your du integral. There should be no x's in it.