Find the area lying in the first quadrant, bounded by the curves `y^2-x+2 = 0` and `y=|x-2|`.

Find the area lying in the first quadrant and bounded by the curve y=x^(3) and the line y=4x.

Compute the area of the figure lying in the first quadrant and bounded by the curves y^(2)= 4x, x^(2) = 4y and x^(2) + y^(2) = 5

Find the area of the region lying in the first quadrant bounded by the curve y^(2)=4x , X axis and the lines x=1, x=4 .

Compute the area of the region in the first quadrant bounded by the curves y^2=4x and (x-4)^2+y^2=16

A chord is drawn to the curve x^(2)+2x-y+2=0 at the point whose abscissa is 1, and it is parallel to the line y=x. Find the area in the first quadrant bounded by the curve,this chord and the y- axis.

The area bounded by the curves y^(2)=x^(3) and |y|=2x

The area of the region lying in the first quadrant and bounded by the curve y = 4x ^(2), and the lines y =2 and y =4 is "___________"

Find the area of the region lying in the first quadrant and bounded by y=4x^(2)x=0,y=1 and y=4