Problem

Evaluate the indefinite integral. $ \displays…

00:43

Problem 10 Easy Difficulty

Evaluate the indefinite integral.

$ \displaystyle \int \sin t \sqrt{1 + \cos t} \, dt $

Answer

$-\frac{2(1+\cos t)^{3 / 2}}{3}+C$

More Answers

01:28

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

We know that you is one plus co sign t which means that do you There's never a good sign T d t Which means that native do you is sign she did you? Which means we have negative times the ventricle of you to the 1/2 to you which gives us knighted to you the three over to divide by three plus C because you're using a powerful which means the exploding increases by one You divide by the new exponents you plug in, you're back. Substitute you is one Posco Santy.

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

Kristen K.

University of Michigan - Ann Arbor

Michael J.

Idaho State University

Joseph L.

Boston College