Find the area of the region bounded by the curves `x=2y-y^2` and `y=2+x`.

The area of the region bounded by the curves x=y^(2)-2 and x=y is

Find the area of the region bounded by the curves y^(2)=x+1 and y^(2)= -x +1 .

Find the area of the region bounded by the curve y^(2)=9x" and " y=3x .

Find the area of the region bounded by the curve y^(2)=9x" and " y=3x .

Find the area of the region bounded by the curve x = at^(2) and y = 2at between the ordinates corresponding to t = 1 and t = 2.

Find the area of the region bounded by the curves x^(2)+y^(2)=4 and (x-2)^(2)+y^(2)=4.

Find the area of the region bounded by the curves 2y^2=x, 3y^2=x+1, y=0 .

Examples: Find the area of the region bounded by the curve y^(2)=2y-x and the y-axis.

Find the area of the region bounded by the curves y^(2) = 4a x and x^(2) = 4a y .