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Numerade Educator

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Problem 4 Easy Difficulty

Evaluate the integral by making the given substitution.

$ \displaystyle \int \sin^2 \theta \cos \theta \, d\theta $, $ u = \sin \theta $

Answer

$\frac{\sin ^{3} \theta}{3}+C$

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Video Transcript

okay. We know he can substitute Sign. Fada is equivalent to you. And then we know we can differentiate getting us. Do you this Cho sun that, uh, times d theta which gives us the integral of you squirt. D'You is powerful increased. Explain it by one divide by the new exponents. Now substitute end because obviously we don't want you in our final answer. And this is our solution.