(i)[2]
Determine the $x$-coordinate of $M$.
(ii)[3]
Apply the trapezium rule with three intervals to estimate $\int_{2}^{5} (x - 2\ln x)\,dx$, and give your answer correct to 2 decimal places.
(iii)[1]
State, with a reason, whether the trapezium rule gives an under-estimate or an over-estimate for the true value of the integral in part (ii).