# 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 to get .
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 to get .
Since is constant with respect to , the integral of with respect to is .
Evaluate at and at .
Evaluate at and at .
Evaluate at and at .
Remove unnecessary parentheses.
Simplify each term.
Simplify each term.
Raise to the power of to get .
Divide by to get .
Reduce the expression by cancelling the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by to get .
Raise to the power of to get .
Multiply by to get .
Subtract from to get .
Multiply by to get .
Simplify each term.
Raise to the power of to get .
Raise to the power of to get .
Combine the numerators over the common denominator.
Cancel the common factor of .
Write as a fraction with denominator .
Factor out the greatest common factor .
Cancel the common factor.
Rewrite the expression.
Simplify.
Multiply by to get .
Multiply and to get .
Divide by to get .
Subtract from to get .
Multiply by to get .
Multiply by to get .
Subtract from to get .

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