Given, equation of parabola x2 = y and line y = x + 2
Solving the above equations, we get
x2 = x + 2
x2 – x – 2 = 0
x2 – 2x + x – 2 = 0
x(x – 2) + 1(x – 2) = 0
(x + 1) (x – 2) = 0
So, x = -1, 2
Now,
Therefore, the area of the required region is 9/2 sq. units.