Does the integral from 2 to infinity of x/(x^2 - 1)2 converge or diverge, if it converges, state its value. I got up to the point where i know the integral converges using the direct comparison test and comparing the original integral with the integral from 2 to infinity of 1/x3. First, i "FOILed" the bottom to get: x/[x4 - 2x2 + 1] Using my FOILed integral i took out an x/x4 which is = to 1/x3 and then used the direct comparison test to find out that the integral from 2 to infinity of 1/x3 reaches a value of 1/2 (converging), thus allowing us to assume that the original integral converges as well. Now, i just don't know how to calculate the value of convergence for x/(x^2 - 1)2. Any advice to lead me in the right direction?