14 In this question you must show detailed reasoning.
Fig. 14 shows the graphs of \(y = \sin x \cos 2 x\) and \(y = \frac { 1 } { 2 } - \sin 2 x \cos x\).
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{cea67565-8074-4703-8e1a-09b98e380baf-16_647_898_404_233}
\captionsetup{labelformat=empty}
\caption{Fig. 14}
\end{figure}
Use integration to find the area between the two curves, giving your answer in an exact form.