Science:Math Exam Resources/Courses/MATH101/April 2016/Question 09 (a)/Hint 1

Recall the Simpson rule:

$\underset{a}{\overset{b}{\int }}f(x)dx\approx \frac{\mathrm{\Delta }x}{3}(f(x_0)+4f(x_1)+2f(x_2)+4f(x_3)+2f(x_4)+\cdots +2f(x_{n-2})+4f(x_{n-1})+f(x_n))$

where $n$ is even and $\mathrm{\Delta }x=\frac{b-a}{n}$.