# Evaluate integral of (x^3)/(x^2-1) with respect to x

Divide by .
Split the single integral into multiple integrals.
By the Power Rule, the integral of with respect to is .
Let . Then , so . Rewrite using and .
Let . Find .
Differentiate .
By the Sum Rule, the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Since is constant with respect to , the derivative of with respect to is .
Rewrite the problem using and .
Simplify.
Multiply and .
Move to the left of .
Since is constant with respect to , move out of the integral.
The integral of with respect to is .
Simplify.
Replace all occurrences of with .
Evaluate integral of (x^3)/(x^2-1) with respect to x