Answer
$$-60$$
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*}
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: 22
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