Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 7 - Techniques of Integration - 7.2 Trigonometric Integrals - 7.2 Exercises - Page 524: 7



Work Step by Step

$$\int_{0}^{\pi/2}cos^{2}\theta\,d\theta=\int_{0}^{\pi/2}\frac{1+cos2\theta}{2}d\theta$$ $$=\left [\frac{\theta}{2}+\frac{sin2\theta}{4} \right ]_{0}^{\pi/2}$$ $$=\frac{1}{2}(\frac{\pi}{2}+0)$$ $$=\frac{\pi}{4}$$
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