ABSTRACT
The error in using the integration rules in (75.1) can be shown to be given by
for some e E (a, b) where Pn and En are functions of n and not of f(x). The approximations given in (75.1) are known as the Newton-cotes
rules. Some tabulated values of the { w,}, as well as the corresponding error term, are presented in Table 75.1. As indicated in that table, some of the Newton-Cotes rules also have other names.
