The Antiderivative of a Polynomial:

   
    // ***************************************** //
    //             Integration Function          //
    // ***************************************** //
FLOAT_POLY FLOAT_POLY::integral()
{  
  FLOAT_POLY_CELL *temp,*before;
  if(head==NULL){
    //the current polynomial is degenerate 
    FLOAT_POLY INTEGRAL;
    return(INTEGRAL);
    }
  else{
    //this is non NULL
    FLOAT_POLY INTEGRAL = *this;
    temp = INTEGRAL.head;
    temp->power += 1;
    temp->element /= (FLOAT)(temp->power);
    before = temp;
    temp = temp->next;
    //
    while(temp!=NULL){
      temp->power += 1;
      temp->element /= (FLOAT)(temp->power);
      before = temp;
      temp = temp->next;
      }
    //at end of list; head holds highest power
    //so add a constant to tail
    before->next = new FLOAT_POLY_CELL(1.0,0);
    return(INTEGRAL);
    }
}