Question: Suppose the following data points are generated by a smooth function $f(x)$ : begin{tabularHICCICICICICICICL] Whline Smathrm{x}$ & S-18 & $-27 3$ & $-1/3$ & &

Suppose the following data points are generated by a smooth function

Suppose the following data points are generated by a smooth function $f(x)$ : \begin{tabularHICCICICICICICICL] Whline S\mathrm{x}$ & S-18 & $-27 3$ & $-1/3$ & & $1 / 3$ & $2 / 3$ & IN Whline $\mathrm{f}\mathrm{x})$ & $0.8415$ & $0.4308$& $0.11096 & 0 & $0.1109$ & $0.4300$ & $0.84155 Whline \end{tabular Approximate $\int_{-1}^{1} f(x) d x$ using the composite Simpson's rule with $n=6$ subintervals. $0.62045 $0.6185$ $0.47675 $0.475$ SP.SD.455

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