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 874: 10



Work Step by Step

$\int^1_0\int^2_1xye^xdydx$ =$\int^1_0[\frac{1}{2}xy^2e^x]^2_1dx$ =$\int^1_0\frac{3}{2}xe^xdx$ =$[\frac{3}{2}xe^x-\frac{3}{2}e^x]^1_0$ =$\frac{3}{2}$
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