Integral of ln(x)/(x - 8x·ln²x)

[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.

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

 

[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..