- Both these are equi-spaced (in ) rules with and
the generalization to arbitrary
**n**are called Newton-Cotes formulae (see Abramowitz and Stegun to find them explicitly written out). - We can relax restrictions:
- (a) equidistant
- (b) and/or
- (c)

- The reader need only solve (NI.5) to find relevant formulae for
any
**n**. - You will find in the books, discussions of so called open
formulae where as above, but one omits one or both of the
end-points. The remaining
**n**or**n-1**points ( or or ) are still equidistant.

Geoffrey Fox, Northeast Parallel Architectures Center at Syracuse University, gcf@npac.syr.edu