Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 15: Multiple Integrals - Section 15.1 - Double and Iterated Integrals over Rectangles - Exercises 15.1 - Page 875: 28

Answer

4

Work Step by Step

V=$\int\int f(x,y)dA$ =$\int^{4}_{0} \int^{2}_{0}\frac{y}{2}dy dx$ =$\int^{4}_{0}[\frac{y^2}{4}]^2_0dx$ =$\int^{4}_{0}1dx$ =$[x]^4_0$ =4
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