I am having a lot of trouble trying to solve/analyse this integral:
$$\displaystyle \int_2^\infty \frac{x+y}{(y)(y^2-1)(\ln(x+y))} dy$$
I have tried everything with no result; it seems impossible for me to work with that $\ln(x+y)$.
I have also tried to compute it, but that does not help neither.
It is given that that $x$ will be an integer $x>1$, so it seems obvious that both integrals converge.
What could I do?
Thank you.