Use Simpson's Rule and the Trapezoid Rule to estimate the value of the integral $\displaystyle \int_{-3}^{3} ( 3x^{3}-2x^{2}+x-2 ) \,dx$.
In both cases, use $n = 2$ subdivisions.
Simpson's Rule approximation $S_2 =$
Trapezoid Rule approximation $T_2 =$

Hint: $f(-3) = -104$, $f(0) = -2$, and $f(3) = 64$ for the integrand $f$.
Note: Simpson's rule with $n = 2$ (or larger) gives the exact value of the integral of a cubic function.