# Calculus Examples

Integrate by parts using the formula , where and .
Combine fractions.
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 .
Combine fractions.
Write as a fraction with denominator .
Multiply and .
Since is constant with respect to , move out of the integral.
Combine fractions.
Multiply and .
Multiply by .
The integral of with respect to is .