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 .
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 .
Evaluate at and at .
Raise to the power of to get .
Reduce the expression by cancelling the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by to get .
Raise to the power of to get .
Reduce the expression by cancelling the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by to get .
Multiply by to get .
Subtract from to get .
Multiply by to get .
Raise to the power of to get .
Raise to the power of to get .
Combine the numerators over the common denominator.
Simplify the numerator.
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Multiply by to get .
Subtract from .
Reduce the expression by cancelling the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by to get .
Multiply by to get .
Add and to get .
Multiply by to get .
Multiply by to get .
Add and to get .
Subtract from to get .
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