Consider the functions defined implicitly by the equation $y^3 - 3y + x = 0$ on various intervals in the real line. If $x \in (-\infty, -2) \cup (2, \infty)$, the equation implicitly defines a unique real valued differentiable function $y = f(x)$. If $x \in (-2, 2)$, the equation implicitly defines a unique real valued differentiable function $y = g(x)$, satisfying $g(0) = 0$.

Question: The area of the region bounded by the curve $y = f(x)$, the $X$-axis and the lines $x = a$ and $x = b$, where $-\infty < a < b < -2$, is