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: 30



Work Step by Step

V=$\int \int f(x,y)dA$ =$\int^{1}_{0} \int^{2}_{0}(4-y^2)dy dx$ =$\int^{1}_{0}[4y-\frac{1}{3}y^3]^2_0dx$ =$\int^{1}_{0}(\frac{16}{3})dx$ =$[\frac{16}{3}dx]$ =$\frac{16}{3}$
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