We have to find the area bounded by the parabola
Figure (1)
Solve the equations to find the point of intersection.
To find the area of OABO, we take a horizontal strip in the region with infinitely small width
From the equation of parabola, find the value of x in terms of y and substitute in equation (1).
Substitute
Simplify further,
The area calculated for the region OABO is
Thus, out of all the four options, option (B) is correct.