3.1: Double Integrals - Mathematics LibreTexts
https://math.libretexts.org/Bookshelves/Calculus/Vector_Calculus_(Corral)/03%3A_Multiple_Integrals/3.01%3A_Double_Integrals
WEBJan 16, 2023 · As we will now see, the double integral of a nonnegative real-valued function \ (f (x, y) \ge 0\) represents the volume “under” the surface \ (z = f (x, y)\). Let \ (f (x, y)\) be a continuous function such that \ (f (x, y) \ge 0 \text { for all } (x, y)\) on the rectangle \ (R = { (x, y) : a ≤ x ≤ b, c ≤ y ≤ d}\) in \ (\mathbb {R}^2\).
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