I'm trying to make a calculator that produces the left hand riemann sum for the equation y = x - x^2, from the bounds 0 to 2. The problem is, I keep getting 0.0 for all my solutions. If anyone could tell me what I'm doing wrong, that would much appreciated.
import java.lang.Math;
public class LeftHandSum {
public static void main(String[] args) {
int [] n = {2,10,100,1000,10000}; //number of steps in each summation
int a = 0;
int b = 2;
int H = 0;
double x = 0;
for (int j = 0; j < 4; j++)
{
double dX = (b-a)/n[j];
for (int i = 1; i < n[j]; i++)
{
x = a + (i-1)*dX;
H += (x - Math.pow(x,2));
}
double solution = H*dX;
System.out.println(solution);
}
}
}