Question: Suppose the following data points are generated by a smooth function $f(x)$: begin{tabular ICICICICICICICCD) hline 5mathrm{x} $ & 0& $pi / 65 & $pi /

 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{tabular ICICICICICICICCD) hline 5\mathrm{x} $ & 0& $\pi / 65 & $\pi / 35 & $\pi / 2$ & $2 \pi / 3$ & $5 \pi / 6$ & $\pis Thline S\mathrm{f} (\mathrm{x})$ & 1 & $0.9897$ & $0.4100$ & $-9.7424$ & $-9.97195 & $0.61685 & $0.91735 Whline Vend tabular) Approximate $\int_(0)^{\pi) f(x) d x$ using the composite Simpson's rule with $n=65 subintervals $0.74175 $1.24175 $1.9302$ $0.24405 SP.SD.450

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