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: 80


$$\sin (\ln t)+c.$$

Work Step by Step

Let $u=\ln t$, then $du=\frac{dt}{t}$, then $$\int \frac{\cos(\ln t)}{t}dt=\int \cos u du=\sin u+c=\sin (\ln t)+c.$$
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