java.lang.ClassNotFoundException: com.mysql.jdbc.Driver

package aplic3;

import java.util.logging.Level;
import java.util.logging.Logger;
import javax.swing.*;
import java.sql.*;

public class Main extends JFrame{

    /**
     * @param args the command line arguments
     */

    JPanel contentPane;

    public static void main(String[] args){

        Connection conn = null;

        try {
            Class.forName("com.mysql.jdbc.Driver").newInstance();
            conn = DriverManager.getConnection(
                    "jdbc:mysql://localhost:3306/test",
                    "root",
                    "notreallyimportantisit");

        } catch (InstantiationException ex) {
            Logger.getLogger(Main.class.getName()).log(Level.SEVERE, null, ex);
        } catch (IllegalAccessException ex) {
            Logger.getLogger(Main.class.getName()).log(Level.SEVERE, null, ex);
        } catch (ClassNotFoundException ex) {
            Logger.getLogger(Main.class.getName()).log(Level.SEVERE, null, ex);
        } catch (SQLException ex) {
            Logger.getLogger(Main.class.getName()).log(Level.SEVERE, null, ex);
        }

        try {
            Statement stmt = conn.createStatement();
            stmt.execute("select * from testtable");
        }
        catch (SQLException ex) {
            Logger.getLogger(Main.class.getName()).log(Level.SEVERE, null, ex);
        }
    }
}

run:
29.01.2009 07:40:08 aplic3.Main main
SEVERE: null
java.lang.ClassNotFoundException: com.mysql.jdbc.Driver
        at java.net.URLClassLoader$1.run(URLClassLoader.java:200)
        at java.security.AccessController.doPrivileged(Native Method)
        at java.net.URLClassLoader.findClass(URLClassLoader.java:188)
        at java.lang.ClassLoader.loadClass(ClassLoader.java:307)
        at sun.misc.Launcher$AppClassLoader.loadClass(Launcher.java:301)
        at java.lang.ClassLoader.loadClass(ClassLoader.java:252)
        at java.lang.ClassLoader.loadClassInternal(ClassLoader.java:320)
        at java.lang.Class.forName0(Native Method)
        at java.lang.Class.forName(Class.java:169)
        at aplic3.Main.main(Main.java:22)
Exception in thread "main" java.lang.NullPointerException
        at aplic3.Main.main(Main.java:39)
Java Result: 1
BUILD SUCCESSFUL (total time: 0 seconds)

Ce încerc: am instalat MySQL local, vreau să mă conectez la baza de date.
Codul sursă:

Eroarea:

Trebuie neapărat să folosesc MySQL Connector/J ? Unde pun fișierul downloadat? Sau care e problema?