- #1
iRaid
- 559
- 8
I learned this a while ago in my calculus 2 class and I was just thinking about it... Where do these error equations for each of the approximation rules come from? Like for example, where does the error for the Simpson's rule, $$|E_{S}|\le \frac{M(b-a)^{5}}{180n^{4}}$$ come from?
Also, why even bother learning these rules, errors, etc. when you can just compute the actual area more efficiently and effectively with a definite integral?
Also, why even bother learning these rules, errors, etc. when you can just compute the actual area more efficiently and effectively with a definite integral?