Integrate a function of one variable using Simpson's Rule
This module computes the integral
using Simpson's Rule that approximates the function with quadratic segments. The summation is computed using the formula
where for with .
This method is simple and easy to control but not particularly efficient. For an adaptive version of the same algorithm see scijs/integrate-adaptive-simpson.
$ npm install integrate-simpson
var simpson =// Integrate sin(x) from 0 to pi using ten intervals// => 2.000006784441801
require('integrate-simpson')( f, a, b, n )
f: The function to be integrated. A function of one variable that returns a value.
a: The lower limit of integration, .
b: The upper limit of integration, .
n: The number of intervals, equal to the number of quadratic segments. Results in function evaluations.
Returns: The value of the integral
(c) 2015 Ricky Reusser. MIT License