Simpson's rule and Trapezoidal rule from fixed array

This is a discussion on Simpson's rule and Trapezoidal rule from fixed array within the C++ Programming forums, part of the General Programming Boards category; Hi! I am trying to write a program that uses Simpson's rule and Trapezoidal rule from a fixed array. But ...

  1. #1
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    Simpson's rule and Trapezoidal rule from fixed array

    Hi!
    I am trying to write a program that uses Simpson's rule and Trapezoidal rule from a fixed array. But I am having trouble integrating the array into the rules.

    Here is the code
    Code:
     #include <stdio.h>
    #include <stdlib.h>
    #include <strings.h>
    #include <math.h>
    //Function prototypes
    double f_value (double x);
    
    int main (void){
    
            int k;
            double f[21], xx[21], del_x, x, s_value, t_value;
            del_x=0.05;
            for (k=0, x=0.; k<=20; k++){
                    xx[k]=x;
                    f[k]=f_value(x);
                    x+= del_x;
            }
            printf ("    x         f(x)\n");
            for(k=0; k<21; k++) printf ("%8.2f %15.4e\n", xx[k], f[k]);
            /*trapezoidal rule*/
            t_value=
            /*Simpson's rule*/
            s_value=
            return;
            }
    
            double f_value (double x)
            {
            double fx;
            fx=sin(x)* exp(-0.5 *x*x);
            return fx;
            }
    thank you!

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