Check mysql daemon using ps command:
luzar@ubuntu:~$ ps aux | grep mysql
root 4078 0.0 0.1 1772 524 ? S 05:19 0:00 /bin/sh /usr/bin/mysqld_safe
mysql 4120 0.0 3.1 127088 16312 ? Sl 05:19 0:01 /usr/sbin/mysqld
--basedir=/usr --datadir=/var/lib/mysql --user=mysql
--pid-file=/var/run/mysqld/mysqld.pid --skip-external-locking
--port=3306 --socket=/var/run/mysqld/mysqld.sock
root 4122 0.0 0.1 1700 556 ? S 05:19 0:00 logger -p
daemon.err -t mysqld_safe -i -t mysqld
luzar 4775 0.0 0.1 3004 752 pts/0 R+ 07:51 0:00 grep mysql
luzar@ubuntu:~$
Check mysql package using dpkg command:
luzar@ubuntu:~$ dpkg -l | grep mysql
ii libdbd-mysql-perl 4.005-1 A Perl5 database interface to the
MySQL data
ii libmysqlclient15off 5.0.51a-3ubuntu5.1 MySQL database client library
ii mysql-client-5.0 5.0.51a-3ubuntu5.1 MySQL database client binaries
ii mysql-common 5.0.51a-3ubuntu5.1 MySQL database common files
ii mysql-server 5.0.51a-3ubuntu5.1 MySQL database server
(meta package dependin
ii mysql-server-5.0 5.0.51a-3ubuntu5.1 MySQL database server binaries
ii php5-mysql 5.2.4-2ubuntu5.1 MySQL module for php5
luzar@ubuntu:~$
So I already have mysql installed during installation. If you don't have mysql in your Ubuntu server, you can install it using apt-get command. If you already configured your Internet connection, then issue the apt-get command like in the example below:
luzar@ubuntu:~$ apt-get install mysql-server-5.0
The apt-get tool will ask you to confirm the mysql installation, and you need to answer Y (yes).
That's all you need to do to have mysql installed in your Ubuntu system.