Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 16 - Multiple Integration - 16.1 Integration in Two Variables - Exercises - Page 846: 22



Work Step by Step

\begin{align*} \int_{-4}^{-1} \int_{4}^{8}(-5) d x d y&=\int_{-4}^{-1}(-5) x \bigg|_{4}^{8} d y\\ &=-20\int_{-4}^{-1} d y\\ &=-20y\bigg|_{-4}^{-1} \\ &= -60 \end{align*}
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