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: 34



Work Step by Step

by Fubini's Theorem $\int^{1}_{0} \int^{3}_{0}xe^{xy}dx dy$ =$\int^{3}_{0} \int^{1}_{0} xe^{xy} dy dx$ =$\int^{3}_{0} (e^xy]^{y=1}_{t=0}]dx$ =$\int^{3}_{0}(e^x-x)dx$ =$(e^x-x)]^3_0$ =$e^3-4\approx16.086$
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