Calculus (3rd Edition)

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

Chapter 5 - The Integral - 5.3 The Indefinite Integral - Exercises - Page 252: 30


$\int sin(7x)dx=-\frac {cos(7x)}{7}+C$

Work Step by Step

$\int sin(7x)dx$ $=\frac{1}{7}\int 7sin(7x)dx;$ $u=7x;$ $du=7dx$ $=\frac{1}{7}\int sin(u)du$ $=\frac{1}{7}(-cos(u))+C$ $=-\frac {cos(7x)}{7}+C$
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