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Let f(I) = In(r + 1), x>0, 50. We have that I := [ f(x)dx = 2 . In(2) - 2 ~ 0.71962769445 (you do not need to verify this result). When using the composite Simpson's rule to approximate I, one obtains the following results: number of subintervals m approximation Sm error em := |I - Sml 3 0.70131264673 1.83150E-02 9 0.71757280057 2.05489E-03 27 0.71939910470 2.28590E-04 81 0.71960229224 2.54022E-05 243 0.71962487194 2.82251E-06 What order of convergence does this data suggest? Give a detailed explanation of these results on the basis of the theoretical error analysis of the composite Simpson's rule