- #1

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Is there a proof that takes us from the sum idea of the volume:

$$\sum_{i=1}^m \sum_{j=1}^n f(x_i,y_j) \Delta x \Delta y$$

To the integral idea:

$$\iint_R f(x,y) dxdy$$

Or something that relates the volume to the integral just like The Fundamental Theorem of Calculus?