Write the fraction using partial fraction decomposition.

Replace each of the partial fraction coefficients in with the values found for and .

Split the single integral into multiple integrals.

Since is constant with respect to , move out of the integral.

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 .

The integral of with respect to is .

Simplify.

Replace all occurrences of with .

Evaluate integral of 1/(x(x-1)) with respect to x