Answer by Ken for Question about double summation notation.
You've essentially got it; there's only a little subtlety. To calculate the sum, first fix $i$ as $1$ and then calculate$$\sum_{j=1}^{m}f(x_i,y_j)\Delta A$$Then fix $i$ as $2$ and calculate it again....
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Just started learning about double integrals literally $10$ minutes ago. I have a fairly good grip on the Riemann integral and so far it seems very similar, but we are just working with volumes instead...
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