Introduction Notes Theory HOWTO Examples
Engineering Error Questions Matlab Maple
Problem
Given a function of one variable, f(x), find the integral of the curve on the interval [a, b].
Assumptions
None.
Tools
We will use sampling and polynomial interpolation.
Process
Simpson's Rule
Given f(x), a, and b, let h = (b − a)/2 and calculate
Simpson's 3/8th Rule
Given f(x), a, and b, let h = (b − a)/3 and calculate
Bools's Rule
Given f(x), a, and b, let h = (b − a)/4 and calculate
Due to a typo in a common reference, Boole's rule is mistakenly referred to as Bode's rule.
Copyright ©2005 by Douglas Wilhelm Harder. All rights reserved.
