Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 7 - Section 7.6 - Integration Using Tables and Computer Algebra Systems - 7.6 Exercises - Page 512: 1



Work Step by Step

Table of intergrals 80: $\int_{0}^{\pi/2}cos(au)cos(bu)du=\left [\frac{sin(a-b)u}{2(a-b)}+\frac{sin(a+b)u}{2(a+b)} \right ]_{0}^{\pi/2}$ $$\int_{0}^{\pi/2}cos5x\,cos2x\,dx=$$ $$= \frac{sin(3\pi/2)u}{6}+\frac{sin7\pi/2}{14} -0$$ $$=-\frac{1}{6}-\frac{1}{14}=-\frac{5}{21}$$
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