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Numerade Educator

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Problem 14 Easy Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int y^2 (4 - y^3)^{2/3} \, dy $

Answer

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

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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.