5.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{affb668f-4d43-4fa8-a5b7-d536a58126b9-3_529_668_223_660}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
The curve \(C\), shown in Figure 1, has polar equation, \(r = 2 + \sin 3 \theta , 0 \leqslant \theta \leqslant \frac { \pi } { 2 }\)
Use integration to calculate the exact value of the area enclosed by \(C\), the line \(\theta = 0\) and the line \(\theta = \frac { \pi } { 2 }\).