Sketch the domain D bounded by y = x2, y = 1 2 x2, and y = x. Use a change of variables

Chapter 15, Problem 37

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Sketch the domain D bounded by y = x2, y = 1 2 x2, and y = x. Use a change of variables with the map x = uv, y = u2 to calculate D y1 dx dy This is an improper integral since f (x, y) = y1 is undefined at (0, 0), but it becomes proper after changing variables. 3

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