The area of the region that lies to the right of the y-axis and to the left of the parabola x = 4y - y2 (the shaded region in the figure) is given by the integral T (4y - y2) dy. (Turn your head clockwise and think of the region as lying below the curve x = 4y - y² from y = 0 to y = 4.) Find the area of the region. x=4y-y²

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