How would you write:

intergral from 2 to infinity of (x+3)/[(x^2-1)(x-1)]

as the limit of a proper intergral, then evaluate the intergral.

Then take the limit to find the improper definite intergral?

The partial fraction is (1/2)ln(x+1) - (1/2)ln(x-1) - 2/(x-1)

thanks