Calculus Examples

Evaluate the Integral
Let . Then , so . Rewrite using and .
Combine fractions.
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Write as a fraction with denominator .
Multiply and .
Since is constant with respect to , move out of the integral.
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 .
Simplify.
Multiply and .
Multiply by .
Replace all occurrences of with .
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