Integrate by parts using the formula , where and .

Move to the left of .

Rewrite as .

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

Multiply by .

Multiply by .

Let . Find .

Differentiate .

Since is constant with respect to , the derivative of with respect to is .

Differentiate using the Power Rule which states that is where .

Multiply by .

Rewrite the problem using and .

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

The integral of with respect to is .

Simplify.

Replace all occurrences of with .

Find the Integral xe^(-x)