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: 21

Answer

$$55$$

Work Step by Step

\begin{align*} \int_{4}^{9} \int_{-3}^{8} 1 d x d y&=\int_{4}^{9} x \bigg|_{-3}^{8} d y\\ &=\int_{4}^{9} 11 d y\\ &=11y\bigg|_{4}^{9}\\ &= 55 \end{align*}
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