This example article describes the Simpson method for implementing numerical integration in python. Shared for your reference. Specifically as follows:
#coding = utf-8 #simpson's method of integrals, numerical integration, works like a charm. from math import * def func(x): """ Define the integrated function """ return x*sin(x) def Get_N(a,b,width): # width is the step size N=int((b-a)/width + 1) if N%2 == 0: N=N+1 return N def GenerateData(a,b,n,width): datas = [] r=a for i in range(0,n): (func(r)) r = r+width return datas def simpson_integral(datas,width,n): sum = datas[0]+datas[n-1] for i in range(2,n): if i%2== 0: sum = sum +4*datas[i-1] else: sum = sum +2*datas[i-1] return sum*width/3.0 if __name__ == "__main__": a=1.0 #Points cap b=3.0 # Lower limit of points width=0.0625 #Steps N=Get_N(a,b,width) datas = GenerateData(a,b,N,width) print simpson_integral(datas,width,N)
I hope that what I have said in this article will help you in your Python programming.