Trouble Drawing In JPanel

I'm going to start off by saying that I can almost guarantee that this question is going to be a copy but I couldn't find any other answers that suited my needs / worked on my program. I need to draw on a JPanel, but I can't seem to be able to get the line I need to draw to show up.

JFrame drawF = new JFrame("Simulator");
        JPanel simPanel = new JPanel();
        drawF.setVisible(true);
        drawF.setSize(1000,650);
        drawF.add(simPanel);
        drawF.pack();
        simPanel.setLayout(null);
        simPanel.setSize(1000,650);
        simPanel.setVisible(true);
        simPanel.setBackground(Color.BLACK);

        //add drawing surface


        //start drawing
            simPanel.add(new JComponent()
            {
            public void paint(Graphics g)
            {
                g.setColor(Color.RED);
                int xLast,yLast;
                for(int i=0;i < 5000000; i++)  // five million
                {

                    double dX = (Math.E*Math.exp(-numd1*i)*Math.sin(i*numf1+nump1))+(Math.E*Math.exp(-numd2*i)*Math.sin(i*numf2*nump2));
                    double dY = (Math.E*Math.exp(-numd3*i)*Math.sin(i*numf3+nump3))+(Math.E*Math.exp(-numd4*i)*Math.sin(i*numf4*nump4));
                    int drawX = (int)dX;
                    int drawY = (int)dY;
                    if (i==0)
                    {
                        xLast = 0;
                        yLast = 0;
                        g.drawLine(xLast,yLast,drawX,drawY);

                        simPanel.revalidate();
                        simPanel.repaint();
                    }
                    else
                    {
                        xLast = drawX;
                        yLast = drawY;
                        g.drawLine(xLast,yLast,drawX,drawY);

                        simPanel.revalidate();
                        simPanel.repaint();
                    }
                }
            }
        });





        repaint();

is there something wrong with adding a JComponent to my JPanel?