Problem

Evaluate the integral by making the given substit…

00:40

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

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

More Answers

00:58

Frank L.

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 5

The Substitution Rule

Discussion

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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.

Amrita B.

Topics

Integrals

Integration

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 5

The Substitution Rule

Top Calculus 1 / AB Educators

Grace H.

Numerade Educator

Catherine R.

Missouri State University

Anna Marie V.

Campbell University

Kayleah T.

Harvey Mudd College