Ive created a program to compute the value of an integral from zero to infinity, however when i go to print my answer it only prints it to 6 decimal places, could someone advise on why this is?
Thanks very much in advance :)
#include <stdio.h>
#include <math.h>
#include <float.h>
double integral_Function(double x){
double value;
value = 1/((1+ pow(x, 2))*(pow(x, 2/3)));
return value;
}
double trapezium_Rule(double lower, double upper, int n){
double h;
double total;
h = (upper - lower)/n;
total = (h/2) * (integral_Function(upper) + integral_Function(lower));
for(int i = 1; i < n; i++){
total = total + (h * integral_Function(lower + (i * h)));
}
return total;
}
int main() {
double sum = 0;
double upper = DBL_MIN * 1.001;
double lower = DBL_MIN;
while (upper <= DBL_MAX){
sum += trapezium_Rule(lower, upper, 5000) * 2;
lower = upper;
upper = upper * 1.02;
}
printf("%f", sum);
return 0;
}