Use Simpson's Rule, the Midpoint Rule, and the Trapezoid Rule to estimate the value of the integral $\displaystyle \int_{21}^{27} f(x) \,dx$.
In all cases, make $n$ as large as possible, given that this table shows the only values of $f$ that are known.

x	21	22	23	24	25	26	27
f(x)	2.2	2.4	1.7	2.3	3.3	3.4	2.8

Simpson's Rule approximation $S_n =$
Midpoint Rule approximation $M_n =$
Trapezoid Rule approximation $T_n =$