integrate-simpson

integrate-simpson

Integrate a function of one variable using Simpson's Rule

Introduction

This module computes the integral

using Simpson's method that approximates the function with quadratic segments using the summation

where for with .

Install

$ npm install integrate-simpson

Example

var simpson = require('integrate-simpson')

// Integrate sin(x) from 0 to 1 using ten intervals
simpson( Math.sin, 0, 1, 10 )
// => 2.000006784441801

API

require('integrate-simpson')( f, a, b, n )

Arguments:

• 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

Credits

(c) 2015 Ricky Reusser. MIT License