Answer by Jared for Double integral definition
$f(x_k,y_k)$ represents the height of the right rectangular prism (ie. the box) of base area $\delta A_k$. The sum of the volume of all of these boxes will approximate the volume under the surface...
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I don't understand the definition of double integral.For instance in the functions with single variable the definite integral was defined as Riemannian sum as: $$\lim_{n\to\infty}\sum_{k=1}^{n}...
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