Answer
$=4\sqrt 3-\frac{4}{3}\pi$
Work Step by Step
$A=4\times \int_{0}^{\pi/6}\frac{1}{2}(8cos(2\theta)-4)d \theta$
$=2[4sin(2\theta)-4\theta]_{0}^{\pi/6}$
$=4\sqrt 3-\frac{4}{3}\pi$
Multivariable Calculus, 7th Edition
by Stewart, James
Published by
Brooks Cole
ISBN 10:
0-53849-787-4
ISBN 13:
978-0-53849-787-9
Chapter 10 - Parametric Equations and Polar Coordinates - 10.4 Exercises - Page 693: 25
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