An external force slowly stretches a non-linear elastic member along the \(x\)-axis from its equilibrium position at \(x = 0\). The magnitude of the stretching force \(F\) as a function of extension \(x\) is modeled by \(F(x) = ax - bx^2\), where \(a\) and \(b\) are positive constants, and is displayed in the calibrated graph. What is the total work done by the applied force to stretch the member from \(x = 0\) to \(x = 0.20\text{ m}\)?