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 - Preliminary Questions - Page 845: 4


See the explanation below.

Work Step by Step

If $f (x, y)$ takes on both positive and negative values on $R $, then the integral $$ \iint_{\mathcal{R}} f(x,y) d A $$ is the signed volume of the region between the graph of $z = f (x, y) $ and the rectangle $R$.
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