7.
\begin{figure}[h]
\captionsetup{labelformat=empty}
\caption{Figure 1}
\includegraphics[alt={},max width=\textwidth]{872356ab-68d3-43ee-8b76-650a2697d80e-08_1052_1116_351_413}
\end{figure}
Figure 1 shows a sketch of part of the curve \(C\) with equation
$$y = x ( x - 1 ) ( x - 5 )$$
Use calculus to find the total area of the finite region, shown shaded in Figure 1, that is between \(x = 0\) and \(x = 2\) and is bounded by \(C\), the \(x\)-axis and the line \(x = 2\).
(9)