Integrate by parts using the formula , where and .

Combine and .

Combine and .

Combine and .

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

Multiply by .

Multiply by .

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

Let . Find .

Rewrite.

Divide by .

Rewrite the problem using and .

Move the negative in front of the fraction.

Combine and .

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

Combine and .

Move the negative in front of the fraction.

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

Multiply and .

Multiply by .

The integral of with respect to is .

Rewrite as .

Simplify.

Combine and .

Combine and .

Replace all occurrences of with .

Combine and .

Reorder terms.

Find the Integral xe^(-3x)