Numeric Integration Lib

A simple Node.js library for numerical computation of definite integrals. Installation

npm install numeric-integration-lib

Usage javascript

import { midpointRule, trapezoidalRule, simpsonsRule } from 'numeric-integration-lib';

// Integrate f(x) = x^2 from 0 to 2. Exact answer: 8/3 (~2.6667) const fn = (x) => x * x;

console.log('Midpoint:', midpointRule(fn, 0, 2, 100)); console.log('Trapezoidal:', trapezoidalRule(fn, 0, 2, 100)); console.log('Simpson:', simpsonsRule(fn, 0, 2, 100));

Methods

All methods accept 4 arguments: (fn, a, b, n)

 fn (Function): The function to integrate.
 a (Number): Lower limit of integration.
 b (Number): Upper limit of integration.
 n (Number): Number of subdivisions (default: 1000).

Available methods:

 midpointRule: Midpoint rectangle method.
 trapezoidalRule: Trapezoidal rule.
 simpsonsRule: Simpson's 1/3 rule (n must be even, adjusted automatically).