The values of \(x\) and \(f(x)\) of a curve are as follows:
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
x & 2 & 2.5 & 3 & 3.5 & 4
\hline
f(x) & 3 & 6 & 8 & 10 & 12
\hline
\end{array}
\]
By Simpson's one-third rule, the area under the curve \(f(x)\) is ____.
Show Hint
Simpson's one-third rule:
\[
\boxed{
\int_a^b f(x)\,dx
=
\frac{h}{3}
\left[
y_0+y_n
+4(\text{odd terms})
+2(\text{even terms})
\right]
}
\]
It requires an even number of subintervals.