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: 19



Work Step by Step

$\int\int_R e^{x-y}dA$ =$\int_0^{ln2}\int_0^{ln2} e^{x-y}dydx$ =$\int^{ln2}_{0}[-e^{x-y}]^{ln2}_0 dx$ =$\int^{ln2}_{0}(-e^{x-ln2}+e^x)dx$ =$[-e^{x-ln2}+e^x]^{ln2}_0$ =$\frac{1}{2}$
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