3.
The diagram shows the curve \(y = 4 - x ^ { 2 }\) and the line \(y = x + 2\).
\includegraphics[max width=\textwidth, alt={}, center]{bcba22d8-5f22-4576-b57c-7fdd05d128ad-1_344_349_993_1372}
- Find the \(x\)-coordinates of the points of intersection of the curve and the line.
- Use integration to find the area of the shaded region bounded by the line and the curve.