Answer
36
Work Step by Step
$\int$0^{6} $\int$0^{y} x dx dy
= $\int$ \pi\div4 ^ \pi\div2 $\int$0 ^ 6cos theta r^ 2 cos theta dr d theta
=72$ \int$ \pi /4 ^ pi /2 cot theta cos^ 2 theta d theta
=-36[cot^ 2 theta ] pi /4 ^ pi /2 =36
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 15: Multiple Integrals - Section 15.4 - Double Integrals in Polar Form - Exercises 15.4 - Page 893: 13
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