The area of the region that lies to the right of the -axis and to the left of the

Chapter 5, Problem 43

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The area of the region that lies to the right of the -axis and to the left of the parabola x 2y y 2y (the shaded region in the figure) is given by the integral 0 2y y 2 dyx . (Turn your head clockwise and think of the region as lying below the curve x 2y y y 0 y 2 2x2 from to .) Find the area of the region.

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