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: 26



Work Step by Step

\begin{aligned} \int_{2}^{6} \int_{1}^{4} y^{2} d x d y &=\int_{2}^{6} y^{2} x \bigg|_{1}^{4}d y\\ &=3 \int_{2}^{6} y^{2} dy\\ &= 3 \frac{y^3}{3}\bigg|_{2}^{6}\\ &= 208 \end{aligned}
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