4
\includegraphics[max width=\textwidth, alt={}, center]{367db494-294e-4b53-b9e8-fd2a69fb6069-2_634_670_1123_740}
The diagram shows the curve \(y = 4 - x ^ { 2 }\) and the line \(y = x + 2\).
- 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.