Problem 45E

The area of the region that lies to the right of the y-axis and to the left of the parabola x=2yy2 the shaded region in the figure is given by the integral 02(2yy2)dy. Turn your head clockwise and think of the region as lying below the curve x=2yy2 from y=0 to y=2 Find the area of the region.

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