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.
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Write as a fraction with denominator .
Multiply and to get .
Since is constant with respect to , the integral of with respect to is .
Simplify the answer.
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Evaluate at and at .
Evaluate at and at .
Remove unnecessary parentheses.
Simplify each term.
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Simplify each term.
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One to any power is one.
Raising to any positive power yields .
Divide by to get .
Multiply by to get .
Add and to get .
Cancel the common factor of .
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Write as a fraction with denominator .
Factor out the greatest common factor .
Cancel the common factor.
Rewrite the expression.
Simplify.
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Multiply and to get .
Divide by to get .
Multiply by to get .
Multiply by to get .
Subtract from to get .
Add and to get .
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