Mastering Integrals: Solving a Tricky ln(x) Integral Problem

[nitroracer]

I have an integral I want to work out that should be a simple one but I just can't see where to start with it. Any help would be appreciated.

<br /> <br /> \int\frac{lnx}{x-8xln^2x}<br /> <br />

 

[arildno]

Write it as:
\frac{1}{2}\int\frac{2\ln(x)}{x}\frac{dx}{1-8\ln^{2}(x)}

 

[BeauGeste]

i haven't done it but it looks like trig substitution might work

 

[arildno]

Substituting for ln^2(x) works even better..