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;
}
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