Simpson’s 1/3 Rule
Source Code:
Write a program in C to find the value of
using the Simpson’s 1/3 Rule with 𝒏 = 4
#include <stdio.h>
#include <conio.h>
double f(double x){ return x*x + 1; }
int main(){
clrscr();
int n=4; double a=0,b=1,h,x,sum1=0,sum2=0;
h=(b-a)/n;
for(int i=1;i<n;i++){
x=a+i*h;
if(i%2==0) sum2+=f(x);
else sum1+=f(x);
}
double I=(h/3)*(f(a)+f(b)+4*sum1+2*sum2);
printf("\n\n\tIntegral : %.4f\n",I);
getch();
return 0;
}
Output

