#include <math.h>
#include <stdio.h>

#define f(x) ((352 * x * x * x) - (64 * x * x) + (198 * x) - 36)

double simpsons_1_3(double a, double b, double n) {
  double h = (b - a) / n;

  double s = f(a) + f(b);

  // Add the other heights

  for (int i = 1; i < n; i += 2)
    s += 4 * f(a + i * h);

  for (int i = 2; i < n; i += 2)
    s += 2 * f(a + i * h);

  return (h / 3) * s;
}

int main() {
  printf("The area under the curve f(x) = 352x^3 - 64x^2 + 198x - 36 from x=3 "
         "to x=4 is %lf",
         simpsons_1_3(3, 4, 10000));
}