| $x$ | 2 | 5 |
| $f ( x )$ | 4 | 7 |
| $f ^ { \prime } ( x )$ | 2 | 3 |
\begin{center}
\begin{tabular}{ | c | c | c | }
\hline
$x$ & 2 & 5 \\
\hline
$f ( x )$ & 4 & 7 \\
\hline
$f ^ { \prime } ( x )$ & 2 & 3 \\
\hline
\end{tabular}
\end{center}
The table above gives values of the differentiable function $f$ and its derivative $f ^ { \prime }$ at selected values of $x$.\\
If $\int _ { 2 } ^ { 5 } f ( x ) \, d x = 14$, what is the value of $\int _ { 2 } ^ { 5 } x \cdot f ^ { \prime } ( x ) \, d x$?\\
(A) 13\\
(B) 27\\
(C) $\frac { 63 } { 2 }$\\
(D) 41