Calculus (3rd Edition)

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

Chapter 5 - The Integral - 5.2 The Definite Integral - Exercises - Page 244: 6



Work Step by Step

As in the figure below, the area will be as follows $$ \int_{\pi/2}^{3\pi/2} \sin x d x= 0. $$ Geometrically, the signed area above the x-axis is the same as the signed area below the x-axis, so the sum will be zero.
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