Calculus Examples

Evaluate the Integral
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 to get .
Evaluate at and at .
Simplify each term.
Raising to any positive power yields .
Divide by to get .
Raise to the power of to get .
Subtract from to get .
Reorder terms.
Multiply by to get .
Write as a fraction with denominator .
Multiply and to get .
The result can be shown in both exact and decimal forms.
Exact Form:
Decimal Form:
Mixed Number Form:

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