# Calculus Examples

Integrate by parts using the formula , where and .

Write as a fraction with denominator .

Multiply and .

Write as a fraction with denominator .

Multiply and .

Write as a fraction with denominator .

Multiply and .

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

Remove parentheses.

Let . Then , so . Rewrite using and .

Write as a fraction with denominator .

Multiply and .

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

Multiply and .

Multiply by .

The integral of with respect to is .

Rewrite as .

Replace all occurrences of with .

Reorder terms.