# Calculus Examples

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 .

Write as a fraction with denominator .

Multiply and .

Evaluate at and at .

Raising to any positive power yields .

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.

Divide by .

Raise to the power of .

Subtract from .

Multiply by .

Write as a fraction with denominator .

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.

Divide by .

Move the negative in front of the fraction.

The result can be shown in both exact and decimal forms.

Exact Form:

Decimal Form: