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 ∫²₀ (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.

Transcribed Image Text:

УА 2 0 x=2y-y² 1 X