# Calculus Examples

Integrate by parts using the formula , where and .
Simplify terms.
Write as a fraction with denominator .
Multiply and to get .
Write as a fraction with denominator .
Multiply and to get .
Write as a fraction with denominator .
Multiply and to get .
Multiply and to get .
Reduce the expression by cancelling the common factors.
Reorder and .
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 to get .
Rewrite as .
Reorder factors in .
Reorder terms.
Remove parentheses around .

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