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 275: 18


$$ \int \sin(4\theta -7)d\theta= =-\frac{1}{4}\cos (4\theta -7) +c $$

Work Step by Step

Since $ u=4\theta -7$, then $ du=4d\theta $ and hence, $$ \int \sin(4\theta -7)d\theta=\frac{1}{4}\int \sin u d u= -\frac{1}{4}\cos u +c\\ =-\frac{1}{4}\cos (4\theta -7) +c $$
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.