by using the values of ƒ at five equally spaced points
It is expressed thus in Abramowitz and Stegun (1972, p. 886):
and the error term is
for some number c between x1 and x5. (945 = 1 × 3 × 5 × 7 × 9.)
It is often known as Bode's rule, due to a typographical error that propagated; e.g. in Abramowitz and Stegun (1972, p. 886). A more recent reference is (, p. 153), which indeed used the name 'Boole' instead of 'Bode'.
- Weisstein, Eric W. "Boole's Rule." From MathWorld—A Wolfram Web Resource. http://mathworld.wolfram.com/BoolesRule.html
- Devries, Paul L. ; Hasbun, Javier E. A first course in computational physics. Second edition. Jones and Bartlett Publishers: 2011.