Use the Trapezoidal Rule, the Midpoint Rule, and Simpson’s rule to approximate the integral $\displaystyle {\int_{{1}}^{{4}}}\frac{{{\ln{{\left({x}\right)}}}}}{{{2}+{x}}}\ {\left.{d}{x}\right.}$ with $\displaystyle {n}={6}$.

$\displaystyle {T}_{{6}}$ =
$\displaystyle {M}_{{6}}$ =
$\displaystyle {S}_{{6}}$ =

Report answers accurate to 4 places. Remember not to round too early in your calculations.