I'm supposed to use some different version of Simpson's Rule in my Numerical Methods homework to compute some areas, considering the non-uniform spacing case .
Namely, I've got two equal length vectors $x,y$ representing the pairs $(x_i,f(x_i))$ and the components of the $x$ array aren't equally spaced.
Is there some modified version of Simpson's Rule that fits my purposes ? I couldn't find anything online. I know that I can just use Trap. Rule, but I was specifically asked to use Simpson's Rule.
Simpson's Rule is generated by fitting a quadratic curve to each set of neighbouring three points. If the intervals are unequal you would have to generate your own formula to fit the data.