Choose the correct answer in the the area bounded by the curve $y = x |\; x\; | ,\; x$ - axis and the ordinates $x = -1$ and $x = 1$ is given by [Hint : $y = x^2$ if $x > 0$ and $y = -x^2$ if $x < 0$].

Question

$(a)\;0\qquad(b)\;\large\frac{1}{3}\qquad(c)\;\large\frac{2}{3}\qquad(d)\;\large\frac{4}{3}$