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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 natural logarithn.

I have also tried to compute it, as it converges for positive values of x, but that does not help neither.

It is given that that x will be an integer x>1.

Is there any way to leave the integral in terms of x? And to get its asymptotic behaviour?

Thank you very much.

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# I Help needed; problematic integral

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