IXL - Integrate using long division (Calculus practice)

Find the indefinite integral. Use

to represent an arbitrary constant.

∫

–

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Learn with an example

question

Find the indefinite integral. Use

to represent an arbitrary constant.

∫

–

solution

You were asked to find the following indefinite integral.

∫

–

Note that the integrand is a rational function and the degree of the numerator is greater than the degree of the denominator. So, use long division to rewrite the integrand.

–

–(

)

–

–(

)

–

–(

)

–

–(

–

)

Rewrite the integrand.

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Now, you can integrate using the rewritten integrand.

∫

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∫

(

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)

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Teacher tools

Work it out

Not feeling ready yet? These can help:

E.2Divide polynomials using long division

T.1Evaluate definite integrals using the power rule

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