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 curves x=4y-y^(2) and the Y-axis.

Find the area of the region bounded by the curves x=|y^(2)-1| and y=x-5 .

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 curves x^(2)+y^(2)=4 and (x-2)^(2)+y^(2)=4.

Find the area of the region bounded by the curves y=x^2 and y = sec^-1[-sin^2x], where [.] denotes G.I.F.

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

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

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

Find the area of the region bounded by the curves y=x^3 and the lines y=x+6 and y=0.