Calculus (3rd Edition)

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

Chapter 5 - The Integral - Chapter Review Exercises - Page 278: 20


$$\int \cos(5- 7\theta) d\theta= -\frac{1}{7}\sin (5- 7\theta)+c.$$

Work Step by Step

Let $ u=5- 7\theta $, then $ du=-7d\theta $ and hence $$\int \cos(5- 7\theta) d\theta=-\frac{1}{7}\int \cos u du=-\frac{1}{7}\sin u +c= -\frac{1}{7}\sin (5- 7\theta)+c.$$
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