- i) We are evaluating the same formula
in terms of the same ansatz

- Now we choose
(a grand total of
**2n+2**parameters) to make (NI.2) exact for polynomials of degree . (**2n+2**equations analogous to (NI.3)). - With Newton-Cotes, one only chooses
**n+1**parameters viewing as fixed. - Thus, Newton-Cotes formulae are exact for polynomials of degree .

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