Question

How do you Use Simpson's rule to approximate the integral `int_0^1f(x)dx` with `n = 10`?

Answer 1

Simpsn's Rule with `n=10` looks like this:
`S_{10}={Delta x}/{3}[f(0)+4f(0.1)+2f(0.2)+4f(0.3)+2f(0.4)+4f(0.5)+2f(0.6)+4f(0.7)+2f(0.8)+4f(0.9)+f(1)]`,
where `Delta x={b-a}/n={1-0}/{10}=0.1`.

Would this get you going?