9.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{14f14bf3-88ee-413c-a62d-0914f41a485d-20_707_823_130_701}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows a sketch of part of the curve \(C\) with equation \(y = x \ln x , \quad x > 0\) The line \(l\) is the normal to \(C\) at the point \(P ( \mathrm { e } , \mathrm { e } )\)
The region \(R\), shown shaded in Figure 2, is bounded by the curve \(C\), the line \(l\) and the \(x\)-axis. Show that the exact area of \(R\) is \(A \mathrm { e } ^ { 2 } + B\) where \(A\) and \(B\) are rational numbers to be found.
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