What is wrong with this code? Compiling area under curve of a polynomial (ax2 +bx +c)

#include <stdio.h>
#include <math.h>
int compute_polynomial (int a, int b, int c, int x){             //prototype
	int fx;
       fx = a* pow(x,2) + b*x + c ;	
       return (fx);
}
double trapezoid_area (int x1, int x2, int fx1, int fx2){        //prototype
	double area;
	area = (fx1 + fx2)* (x2-x1) / 2;
	return (area);
}
double auc_polinomial (int a, int b, int c, int partitions, int x_low, int x_high) {        //prototype
	double total_area = 0;
	int x1, x2, one_partition;
	int fx1, fx2;
	double trap_area;
	one_partition = (x_high - x_low)/ partitions;
	for (x1 = x_low; x1<=x_high; x1 += one_partition){
		fx1= compute_polynomial (a, b, c, x1);
		for (x2= x_low + one_partition; x2<=x_high; x2 += one_partition){ 
	    fx2= compute_polynomial (a, b ,c, x2);
		}
		trap_area = trapezoid_area (x1,x2, fx1, fx2);
		total_area += trap_area; 
       
	}
	return (total_area);
}

int main (){
   int a,b,c;
   int x_low, x_high;
   int partitions;
   double total_area;
   

   printf("Enter three polinomial coefficents in order a b c : ");
   scanf("%d %d %d", &a, &b, &c);
   printf("Enter x interval: ");
   scanf("%d %d", &x_low, &x_high);
   printf("Enter number of partitions: ");
   scanf("%d", &partitions);
   total_area = auc_polinomial( a, b, c, partitions, x_low, x_high);
   printf(" AUC: %f", total_area);
   return (0); 
   

}