Numerical Integration by Simpson's 1/3 and 3/8 Rules
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.[more]
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.[less]