#include<stdio.h>
#include<math.h>
float valueFx(float x);
float areaCurve(int a,int b,float deltaX);
int main()
{
  int a = -2,b=2;
  //printf("Enter the boundary values : a,b ");
  //scanf("%d,%d",&a,&b);
  
  float delX = 0.001;
  printf("Area of curve : %f \n",areaCurve(a,b,delX));
  printf("Area of broken curve : %f \n", areaCurve(a,-1,delX) + areaCurve(-1,1,delX) + areaCurve(1,b,delX) );
  return 0;
}
float valueFx(float x)
{
  if(x<=-1)
    return 1.0;
  if(x>=1)
    return x*x - x + 1;
  if(x> -1 && x<1)
    return x*x*x;
  
}
float areaCurve(int a,int b,float deltaX)
{
  float lowX = a,highX = a + deltaX,area = 0.0;
  while(highX <= b)
  {
    //printf("lowX : %f  HighX : %f \n",lowX,highX);
    if(lowX < -1 && highX > -1)
    {
      //printf("HOw : lowX : %f  HighX : %f \n",lowX,highX);
      area += (-1 - lowX) * fabs(valueFx(lowX)) +  (highX - (-1)) * fabs(valueFx(-1));
    }
    if(lowX < 1 && highX > 1)
    {
      //printf("HOw : lowX : %f  HighX : %f \n",lowX,highX);
      area += (1 - lowX) * fabs(valueFx(lowX)) +  (highX - 1) * fabs(valueFx(1));
    }
    area += (highX-lowX)*fabs(valueFx(lowX));
    
    lowX = highX;
    highX = highX + deltaX;
  }
  if(lowX < b && highX > b)
  {
    area += (b-lowX)*fabs(valueFx(lowX));
  }
  return area;
}