y1 = x^2
y2 = x + 2
The graph looks like this,
A = int [x=-1 .. 2] (y2 - y1) dx
A = int [-1 .. 2] (x + 2 - x^2) dx
A = [x^2/2 + 2x - x^3/3] [-1 .. 2]
A = {(4/2 + 4 - 8/3) - (1/2 - 2 - (-1)/3)}
A = (10/3 + 7/6) = 9/2
Bounded Area is 4 1/2 square units