Find the area of the region enclosed by the parabola `y^2 = 4x` and the line `y = 2x`.

Find the area of the region enclosed by the parabola y^2 = 16x and the line y = 4x .

Find the area of the region enclosed by the parabola y^2 = 9x and the line y = 3x .

Find the area of the region enclosed by the parabola x^2 = y , the line y = x+2 and the x-axis.

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

Find the area of the region included between the parabola y^2 = x and the line x + y = 2.

Find the area of the region included between the parabola y = x^2 and the line y = x + 6 . Draw the rough sketch also.

Find the area of the region included between : the parabola x^2 = 4y and the line x = 4y - 2 .

Find the area of the region included between the parabola y^(2)=x and the line x+y=2 .