Use the Trapezoidal Rule, the Midpoint Rule, and Simpson’s rule to approximate the integral
08(5+x+2)2/3 dx\displaystyle {\int_{{0}}^{{8}}}{\left({5}+\sqrt{{{x}+{2}}}\right)}^{{{2}/{3}}}\ {\left.{d}{x}\right.}
with n=12\displaystyle {n}={12}.

T12\displaystyle {T}_{{12}} =
M12\displaystyle {M}_{{12}} =
S12\displaystyle {S}_{{12}} =

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