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

Last updated: 8/14/2022

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 = y² from y 0 to y = 2.) Find the area of the region.