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 .
Simplify the answer.
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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.
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Factor out of .
Cancel the common factors.
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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.
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Factor out of .
Cancel the common factors.
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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:
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