Calculus 8th Edition

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: 2

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: $\int _0^{y^2}x^2ydx=\frac{y^7}{3}$ $\int _0^2\left(\frac{y^7}{3}\right)dy=\frac{32}{3}$
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