University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 14 - Section 14.4 - Double Integrals in Polar Form - Exercises - Page 778: 32



Work Step by Step

Our aim is to integrate the integral as follows: $ Area =\iint_D dA $ $=4\int^{\pi/2}_0 \int^{1-cos\theta}_0 \space r \space dr \space d\theta $ or, $=2\int^{\pi/2}_0 (\dfrac{3}{2}-2 \cos\theta +\dfrac{ \cos2\theta}{2})\space d\theta $ and $ Area=\dfrac{3\pi}{2}-4$
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