Find the area of the region enclosed between the parabolas `x^2 = 9y` and `y^2 = 9x`. Also draw its rough sketch.

Find the area of the region enclosed between the parabolas x^2 = 16y and y^2 = 16x . Also draw its rough sketch.

Find the area of the region enclosed between the parabolas x^2 = 4y and y^2 = 4x . Also draw its rough sketch.

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 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 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^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.