6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{1c51b071-5cb1-4841-b031-80bde9027433-10_697_1182_210_386}
\captionsetup{labelformat=empty}
\caption{Figure 3}
\end{figure}
Figure 3 shows a sketch of part of the curve \(C\) with equation
$$y = x ( x + 4 ) ( x - 2 )$$
The curve \(C\) crosses the \(x\)-axis at the origin \(O\) and at the points \(A\) and \(B\).
- Write down the \(x\)-coordinates of the points \(A\) and \(B\).
The finite region, shown shaded in Figure 3, is bounded by the curve \(C\) and the \(x\)-axis.
- Use integration to find the total area of the finite region shown shaded in Figure 3.