Source Code:
///integration of given function using Simpson's 1/3 rule
#include<stdio.h>float y(float x){return 1/(1+x*x);
}int main(){
float x0,xn,h,s;
int i,n;
printf("Enter x0, xn, no. of subintervals: ");scanf("%f%f%d",&x0,&xn,&n);h = (xn - x0)/n;s = y(x0)+y(xn)+4*y(x0+h);for(i = 3; i<=n-1; i+=2){
s += 4*y(x0+i*h) + 2*y(x0+(i-1)*h);}printf("Value of integral is %6.4f\n",(h/3)*s);return 0;
}
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