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

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

Find the area of the region bounded by the curve y=x^(2) and the line y=4

Find the area of the region bounded by the curve y = x ^ 2 and the line y = 4 .

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

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 y =x ^(2) and the line y =4.

Find the area of the region bounded by the curves x^(2) = 8y, y = 2, y = 4 and the Y-axis, lying in the first quadrant.

Find the area of the region bounded by the curves y=x^(2)+2y=x,x=0 and x=3