Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 7 - Review - Exercises - Page 537: 3

Answer

$e^{\sin x}+C$

Work Step by Step

$\displaystyle \int\frac{e^{\sin x}}{\sec x}dx=\int e^{\sin x}\cdot\cos dx=\left[\begin{array}{l} t=\sin x\\ dt=\cos xdx \end{array}\right]$ $=\displaystyle \int e^{t}dt$ $=e^{t}+C$ $=e^{\sin x}+C$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After 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.