Numerical Methods: Integration of given function using Simpson’s 3/8 rule in C
Source Code:
//integration of given function using Simpson's 3/8 rule
#include<stdio.h>
float y(float x){
return 1/(1+x*x); //function of which integration is to be calculated
}
int main(){
float x0,xn,h,s;
int i,n,j,flag;
printf("Enter x0, xn, no. of subintervals: ");
scanf("%f%f%d",&x0,&xn,&n);
h = (xn-x0)/n;
s = y(x0)+y(xn);
for(i = 1; i<=n-1;i++){
for(j=1;j<=n-1;j++){
if(i==3*j){
flag = 1;
break;
}
else
flag = 0;
}
if(flag==0)
s += 3*y(x0+i*h);
else
s += 2*y(x0+i*h);
}
printf("Value of integral is %6.4f\n",(3*h/8)*s);
return 0;
}
