Definite Integral

1. Find the area bounded by the curves y^2 = 4x and x^2 = 4y
2. Find the area included by the part of the curve y= x^3 -6x^2 +11x-6,
which lies between x=1 and x=2
3. Find the area enclosed by that part of the curve, y= -(x^2-5x+6) for which
y is positive and the x-asix
4. Find the area of the region bounded by the x-axis and the parabola
y=4x-x^2
5. Sketch the four-sided region bounded by the lines y=x, y=2x, y=x-6
and y=1