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# Evaluate the indefinite integral.$\displaystyle \int y^2 (4 - y^3)^{2/3} \, dy$

## $-\frac{\left(4-y^{3}\right)^{5 / 3}}{5}+C$

Integrals

Integration

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##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

We know that you is for my cute, which means that why squared? Do you? Why is negative 1/3? Do you? Which means now we can write this as the constant natives numbered pulled out times the integral of you. The 2/3 do you? Which means the off negative 1/3 terms you to the 5/3 over 5/3 plus seat because, remember But we use the parlor, which means the exploding increases by one. And then we divide by then you exponents and then we back Substitute you is four minus y cute.

#### Topics

Integrals

Integration

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp