## Calculus (3rd Edition)

Published by W. H. Freeman

# Chapter 16 - Multiple Integration - 16.1 Integration in Two Variables - Preliminary Questions - Page 845: 4

#### Answer

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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