# Calculus Examples

Integrate by parts using the formula , where and .
Combine and .
Since is constant with respect to , move out of the integral.
Let . Then , so . Rewrite using and .
Let . Find .
Rewrite.
Divide by .
Rewrite the problem using and .
Combine and .
Since is constant with respect to , move out of the integral.
Simplify.
Multiply and .
Multiply by .
The integral of with respect to is .
Rewrite as .
Replace all occurrences of with .