4.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{be8f9187-055a-476f-974d-22e8e16e9996-05_547_798_251_575}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows a sketch of part of the curve \(C\) with equation
$$y = ( x + 1 ) ( x - 5 )$$
The curve crosses the \(x\)-axis at the points \(A\) and \(B\).
- Write down the \(x\)-coordinates of \(A\) and \(B\).
The finite region \(R\), shown shaded in Figure 1, is bounded by \(C\) and the \(x\)-axis.
- Use integration to find the area of \(R\).