IXL - Evaluate definite integrals using the power rule (Calculus practice)

Evaluate the integral. Write an exact, simplified answer.

∫

–

ref_doc_title.

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question

Evaluate the integral. Write an exact, simplified answer.

∫

key idea

The Fundamental Theorem of Calculus, Part

states that if

is a continuous function on

[

]

then

∫

(

)

(

)

–

(

)

where

(

)

is an antiderivative of

(

)

Remember that

(

)

is an antiderivative of

(

)

′

(

)

(

)

The power rule for integration says that if

is a real number and

≠

–

then

∫

where

represents an arbitrary constant.

solution

You were asked to evaluate

∫

First, find an antiderivative of the integrand. Then, evaluate the definite integral using the Fundamental Theorem of Calculus.

∫

(

)

–

(

)

–

(

)

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Work it out

Not feeling ready yet? These can help:

S.2Find indefinite integrals using the power rule

R.2Fundamental Theorem of Calculus, Part 2

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