calculus - Evaluating this integral for any integer $n>1$ : $int limits _0^ {infty} ln^nfrac{|1-x|}{|1+x|}dx$

How do I evaluate this integral for any integer $n>1$

$$\int \limits _0^ {\infty} \ln^n\frac{|1-x|}{|1+x|}\,dx$$

Note: for $n=1$ just we use integral by part and the integral will be divergent .My problem what about $n >1$

Thank you for any kind of help