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: 21

Answer

$-2$

Work Step by Step

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