9. The diagram below shows a sketch of the curve \(C _ { 1 }\) with equation \(y = - x ^ { 2 } + \pi x + 1\) and a sketch of the curve \(C _ { 2 }\) with equation \(y = \cos 2 x\). The curves intersect at the points where \(x = 0\) and \(x = \pi\).
\includegraphics[max width=\textwidth, alt={}, center]{e4a4ea5b-7278-4735-925c-265a556ad679-18_817_1173_577_431} Calculate the area of the shaded region enclosed by \(C _ { 1 } , C _ { 2 }\) and the \(x\)-axis. Give your answer in terms of \(\pi\).