Answer
$-e^{\cos x}$
Work Step by Step
Let $u=\cos x$. Then $du=-\sin x \ dx \Rightarrow -du=\sin x \ dx$. Now we can replace the integral:
$$-\int e^u \ du = -e^u=-e^{\cos x}$$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 5 - Section 5.5 - The Substitution Rule - 5.5 Exercises - Page 419: 51
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
