Answer
$$208$$
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}
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
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
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