(i)[4]
Determine the $x$-coordinate of $M$.
(a(i))[4]
Determine the $x$-coordinate of $M$.
(a(ii))[3]
Apply the trapezium rule with two intervals to estimate the value of $\int_{1}^{3} \frac{e^{\frac{1}{2}x}}{x}\, dx$, and state your answer correct to 2 decimal places.
(a(iii))[1]
Let the estimate from part (ii) be $E$. Without carrying out any further calculation, explain whether a new estimate obtained from the trapezium rule with four intervals would be greater than $E$ or less than $E$.