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

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Basic Math

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The area of the region that lies to the right of the y-axis and to the left of the parabola x = 2y - y2 (the shaded region in the figure) is given by the integral f (2y - y2) dy. (Turn your head clockwise and think of the region as lying below the curve x = 2y = y from y 0 to y = 2.) Find the area of the region.

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