Answer
$0.232545$
Work Step by Step
$Δx$ = $\frac{2-1}{6}$ = $\frac{1}{6}$
$S_{6}$ = $\frac{1}{3}(\frac{1}{6})[e^{-1}+4e^{-\frac{7}{6}}+2e^{-\frac{8}{6}}+4e^{-\frac{9}{6}}+2e^{-\frac{10}{6}}+4e^{-\frac{11}{6}}+e^{-2}]$ $\approx$ = $0.232545$
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