10 Fig. 10 shows the graph of \(y = ( k - x ) \ln x\) where \(k\) is a constant ( \(k > 1\) ).
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{904025c9-6d68-4344-bd41-8c0fccfcf92f-06_454_1266_1564_395}
\captionsetup{labelformat=empty}
\caption{Fig. 10}
\end{figure}
Find, in terms of \(k\), the area of the finite region between the curve and the \(x\)-axis.