2 The shaded region, shown in the diagram below, is defined by
$$x ^ { 2 } - 7 x + 7 \leq y \leq 7 - 2 x$$
\includegraphics[max width=\textwidth, alt={}]{6ad3bac9-bf08-443d-8be2-b0c26209ffe8-03_801_830_456_607}
Identify which of the following gives the area of the shaded region.
Tick \(( \checkmark )\) one box.
$$\begin{array} { l c }
\int ( 7 - 2 x ) \mathrm { d } x - \int \left( x ^ { 2 } - 7 x + 7 \right) \mathrm { d } x & \square
\int _ { 0 } ^ { 5 } \left( x ^ { 2 } - 5 x \right) \mathrm { d } x & \square
\int _ { 0 } ^ { 5 } \left( 5 x - x ^ { 2 } \right) \mathrm { d } x & \square
\int _ { 0 } ^ { 5 } \left( x ^ { 2 } - 9 x + 14 \right) \mathrm { d } x & \square
\end{array}$$