# Calculus Examples

Evaluate the Integral
Since integration is linear, the integral of with respect to is .
Since is constant with respect to , the integral of with respect to is .
By the Power Rule, the integral of with respect to is .
Combine fractions.
Write as a fraction with denominator .
Multiply and .
Since is constant with respect to , the integral of with respect to is .
Evaluate at and at .
Evaluate at and at .
One to any power is one.
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 .
Multiply by .