Use Simpson’s rule to approximate the integral $\displaystyle {\int_{{0}}^{{3.6}}}\frac{{1}}{{\ln{{\left({x}+{1.4}\right)}}}}\ {\left.{d}{x}\right.}$ with $\displaystyle {n}={36}$.

$\displaystyle {S}_{{36}}$ =

Be sure to keep your Mathematica code (and turn it in with your work).

Report answers accurate to 8 places. Remember not to round too early in your calculations.