Given curves are y2 = 2x.....(i)
and x - y = 4.....(ii)
Obviously, curve (i) is right handed parabola having vertes at (0, 0) and axis along +ve direction x-axis while curve (ii) is a straight line.
For intersection point of curve (i) and (ii)
Intersection points are (2, -2), (8 , 4)
Therefore, required Area = Area of shaded region