C Program code for Simpson Rule

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C code for SIMPSON'S 1/3 RULE

1 #include<stdio.h>
2 #include<conio.h>
3 #include<math.h>
4 float f(float x)
5 {
6 return(1/(1+x));
7 }
8 void main()
9 {
10 int i,n;
11 float xn,x0,h,y[20],se,ans,s0,x[20];
12 printf("\n Enter values of h,xn,x0: ");
13 scanf("%f%f%f",&x0,&h,&xn);
14 n=(xn-x0)/h;
15 if(n%2==1)
16 {
17 n=n+1;
18 }
19 h=(xn-x0)/n;
20 printf("\n Refined_value_of n and h are:%d %f\n",n,h);
21 printf("\n Y values: \n");
22 for(i=0; i<=n; i++)
23 {
24 x[i]=x0+i*h;
25 y[i]=f(x[i]);
26  printf("\n %f\n",y[i]);
27 }
28 so=0;
29  se=0;
30 for(i=1; i<n; i++)
31 {
32 if(i%2==1)
33 {
34 so=so+y[i];
35 }
36 else
37 {
38 se=se+y[i];
39 }
40 }
41 ans=h/3*(y[0]+y[n]+4*so+2*se);
42 printf("\n Final_integration_is %f",ans);
43 getch();
44 }
Output:

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