Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 16 - Section 16.3 - Integrals of Trigonometric Functions and Applications - Exercises - Page 1178: 22

Answer

$-1$

Work Step by Step

Our aim is to solve the integral $\int_{\pi/2}^{\pi} \cos x \ dx$ Now, $\int_{\pi/2}^{\pi} \cos x \ dx=[\sin x]_{\pi/2}^{\pi}$ or, $=\sin (\pi) -\sin (\pi/2)$ or, $= 0-1$ or, $=-1$
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