Question: Suppose the following data points are generated by a smooth function $f(x)$: begin{tabular (IICICCICICCC) Shiine $mathrm{x}$ & 5-15 & 5-2 / 3$ & 5-1 /

Suppose the following data points are generated by a smooth function $f(x)$: \begin{tabular (IICICCICICCC) Shiine $\mathrm{x}$ & 5-15 & 5-2 / 3$ & 5-1 / 39 & 0 & $1 / 3$ $ $2 / 3$ & IN Vhline S\mathrm{F} \mathrm{x})$ & $0.8415$ & $0.43005 & $0.11095 & 0 & $0.11095 & $0.4300$ & $0.84155 hline \end{tabular Approximate $\int_{-1}^(1) F(x) dx using the composite Simpson's rule with $n=6$ subintervals. $0.47675 $0.62045 $0.47255 $0.61855 SP.SD.435
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