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Card 9 / 12:
double integral
of the function f ( x , y ) over the region R in the x y -plane is defined as the limit of a double Riemann sum, ∬ R f ( x , y ) d A = lim m , n → ∞ ∑ i = 1 m ∑ j = 1 n f ( x i j * , y i j * ) Δ A .
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