# Calculus Examples

Let . Then , so . Rewrite using and .

Write as a fraction with denominator .

Multiply and .

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

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

Write as a fraction with denominator .

Multiply and .

Simplify.

Multiply and .

Multiply by .

Replace all occurrences of with .

Simplify the numerator.

Rewrite as .

Since both terms are perfect squares, factor using the difference of squares formula, where and .

Apply the product rule to .

Reorder terms.