Divide by .

Split the single integral into multiple integrals.

By the Power Rule, the integral of with respect to is .

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 .

Add and .

Rewrite the problem using and .

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