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: 24



Work Step by Step

$\int^{1}_{0}\int^{\pi}_{0}y \cos xy dxdy$ =$\int^{1}_{0}[sinxy]^{\pi}_0 dy$ =$\int^{1}_{0}\sin \pi y dy$ =$[\frac{-1}{\pi}cos \pi y]_0^1$ =$\frac{-1}{\pi}(-1-1)$ =$\frac{2}{\pi}$
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