Numerical Integration by Simpson's 1/3 and 3/8 Rules

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

Definite integrals can be approximated using numerical methods such as Simpson’s rule. A better approximation is obtained as you increase , the number of subintervals.


Let and , where , and set .

Simpson's 1/3 rule: .

Simpson's 3/8 rule: .

In the graphic, approximations for a given are computed using the two rules and compared with the exact value of the integral.


Contributed by: Rinashini Arunasalam (August 2016)
(OEMS IntiPakar Corporation Sdn Bhd)
Open content licensed under CC BY-NC-SA



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.