Question: Sketch the domain D bounded by y = x 2 , y = 1/2 x 2 , and y = x. Use a change of

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

JJD ydx dy

This is an improper integral since ƒ(x, y) = y−1 is undefined at (0, 0), but it becomes proper after changing variables.

JJD ydx dy

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