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.

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 4y = 3x^2 and the line 3x -2y + 12 = 0 .

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

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

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 bounded between parabolas y^2 = 4x and the line x^2 = 4y .