Hi,

I'm trying to solve this integral:

The integration by parts makes the integral more difficult.

The integration by substitution brings me to this solution (show steps):

http://www.wolframalpha.com/input/?i=integrate+1%2F%28x%28%28logx%29^2-1%29%29

But we don't study hyperbolic functions. There must be another way to solve this exercise...

Any hint?

Thank you in advance