14.
\includegraphics[max width=\textwidth, alt={}, center]{e0c7b6f3-9c28-48bd-a401-635efb2521e3-30_490_992_226_573} The diagram above shows the curve with equation $$y = ( x - 4 ) ^ { 2 } , x \in \mathbb { R }$$ intersected by the straight line with equation \(y = 4\), at the points \(A\) and \(B\). The curve meets the \(y\) axis at the point \(C\). Calculate the exact area of the shaded region, bounded by the curve and the straight line segments \(A B\) and \(B C\).
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