Use Simpson's Rule and all the data in the following table to estimate the value of the integral 333f(x)dx\displaystyle {\int_{{{3}}}^{{{33}}}}{f{{\left({x}\right)}}}{\left.{d}{x}\right.}.

xf(x)
313
812
139
1814
2310
285
333


333f(x)dx\displaystyle {\int_{{{3}}}^{{{33}}}}{f{{\left({x}\right)}}}{\left.{d}{x}\right.}\approx