The point of intersection of these two parabolas are O (0, 0) and A (1, 1) as shown in the fig.
Here, we can set y2 = x or y = √x = f(x) (because region lies above x-axis) and y = x2 = g(x) where, f(x) ≥ g(x) in [0, 1].
Therefore, the required area of the shaded region