Answer
32/3
Work Step by Step
$\int _0^2\int _0^{y^2}x^2ydxdy$
Take the derivative with respect to x and then y:
$\int _0^{y^2}x^2ydx=\frac{y^7}{3}$
$\int _0^2\left(\frac{y^7}{3}\right)dy=\frac{32}{3}$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 15 - Multiple Integrals - 15.2 Double Integrals over General Regions - 15.2 Exercises - Page 1048: 2
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