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1. Evaluate the integral of f(x, y) = x2y over the shaded domain D. (Assume that a = 2.)
∫∫D x2y dA =
2. Compute the double integral of f(x, y) = 30x2y over the given shaded domain in the following figure.
3. Integral f(x, y) = x over the region D bounded by y = x2 and y = 2x + 3.
∫∫D x dA
4. Evaluate ∫∫D 10y/x dA where D is the shaded part of the graph of y = √(4 - x2) (a semicircle of radius 2). (Round your answer to four decimal places.)
∫∫D 10y/x dA =
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Test using the traditional approach with α = 0.05
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