Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 15 - Multiple Integrals - 15.1 Double Integrals over Rectangles - 15.1 Exercises - Page 1039: 11

Answer

$3$

Work Step by Step

$\int \int_R (4-2y) dA = \int_0^1 \int_0^1 (4-2y) dydx$ $= \int_0^1 (4y-y^2)\big|_0^1 dx$ $= \int_0^1 (3-0) dx$ $= 3x\big|_0^1$ $= 3(1-0)$ $= 3$
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