Use the Trapezoidal Rule, the Midpoint Rule, and Simpson’s rule to approximate the integral $\displaystyle {\int_{{1}}^{{12}}}\frac{{{\ln{{\left({x}\right)}}}}}{{{4}+{x}}}\ {\left.{d}{x}\right.}$ with $\displaystyle {n}={66}$.

$\displaystyle {T}_{{66}}$ =
$\displaystyle {M}_{{66}}$ =
$\displaystyle {S}_{{66}}$ =

Report answers accurate to 6 places. Remember not to round too early in your calculations.