Find the area of the region bounded by the parabola $y = x^2$ and $y = \left | x \right | $.

Question

$\begin{array}{1 1} \frac{1}{3}sq.units. \\ \frac{2}{3}sq.units. \\ \frac{4}{3}sq.units. \\ \frac{\pi}{3}sq.units.\end{array} $