Calculus (3rd Edition)

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

Chapter 5 - The Integral - 5.7 Substitution Method - Exercises - Page 276: 62


$$\sin (\sin t)+C $$

Work Step by Step

Given $$ \int \cos t \cos (\sin t) d t $$ Let $$u=\sin t \ \ \ \ \Rightarrow \ \ \ du =\cos tdt$$ \begin{aligned} \int \cos t \cos (\sin t) d t &=\int \cos u d u \\ &=\sin u+C \\ &=\sin (\sin t)+C \end{aligned}
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.