# 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 .

Multiply and .

Reduce the expression by cancelling the common factors.

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

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

Remove parentheses around .

By the Power Rule, the integral of with respect to is .

Write as a fraction with denominator .

Multiply and .

Rewrite as .

Reorder terms.

Remove parentheses around .