Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 7 - Exponential Functions - 7.8 Inverse Trigonometric Functions - Exercises - Page 375: 93


$$\sin e^x+c$$

Work Step by Step

Let $u=e^x$, then $du=e^xdx$. Now, we have $$\int e^x \cos e^x dx= \int \cos u du=\sin u +c\\ =\sin e^x+c.$$
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