Sketch the domain D bounded by y = x 2 , y = 1/2 x 2 ,

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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

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.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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