The boundaries of the shaded region are the y-axis, the line y = 1, and the curve

Find the area of this region by writing x as a function of y and integrating with respect to y (as in Exercise 57).

Data From Exercise 57:

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:

y = √√x.