Approximate the integral R (x,y) dA by dividing the rectangle R with vertices (0, 0),
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Approximate the integral ∫R∫ ƒ(x,y) dA by dividing the rectangle R with vertices (0, 0), (4, 0), (4, 2), and (0, 2) into eight equal squares and finding the sum where (xi, yi) is the center of the ith square. Evaluate the iterated integral and compare it with the approximation.
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8 Σ+(x, y) ΔΑ i=1
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