Newton and Cotes formulas
The usual way of numerically integrate a function, is to find a simpler function which approximates the given function and then integrating the interpolation function. That is, if we want to find , we find an approximating function such that and be close (on some concept of distance) and then we say
The Newton and Cotes formulas for small values of are given on the following table.
|Simpson’s 3/8 rule|
recalling that are evenly spaced on .
Since the Simpson’s rule is actually the Newton and Cotes formula for , the proof of Simpson’s rule illustrates this method.
|Title||Newton and Cotes formulas|
|Date of creation||2013-03-22 14:50:28|
|Last modified on||2013-03-22 14:50:28|
|Last modified by||drini (3)|