Hi. i wrote a script that finds the definite integral of a function using simpsons rule.(adsbygoogle = window.adsbygoogle || []).push({});

right now the function to be integrated is defined as 2*pow(9-pow(x,2),.5).

but this is very inconvenient to me because i must edit the program each time i want to find a new integral. my question is how do i define the function to be integrated inside the command prompt window? (in other words, i want the user to declare the function to be integrated, instead of the programmer declaring the function to be integrated.)

#include <stdio.h>

#include <math.h>

/*define f[x]*/

double f(double x)

{

double f=2*pow(9-pow(x,2),.5) ;

return f;

}

/*program main*/

int main()

{

double a,b,dx;

long double total1=0,total2=0;

long int n,i=1;

printf("b\nS f[x]dx\na\n\n");

printf("b=");

scanf("%lf",&b);

printf("a=");

scanf("%lf",&a);

printf("number of increments=");

scanf("%d",&n);

dx=(b-a)/n;

printf("%.13lf\n",dx);

/*calculations*/

while(i<=n-1)

{

total1=dx*f(a+i*dx)+total1;

printf("%d\r",i);

i=i+1;

}

i=0;

while(i<=n-1)

{

total2=dx*f(a+(i+.5)*dx)+total2;

printf("%d\r",i);

i=i+1;

}

double integral=total1/3+2*total2/3+dx*(f(a)+f(b))/6;

printf("definite integral=%.13lf", integral);

getchar();

getchar();

}

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# How do i declare a function in the command promp window (c++ question)

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