How to make a SELECT in PHP/MySQL case insensitive?

Her's my probleme, i guess its really basic.

I'm trying to lookup in the database if a line does exist. heres my code :

$req="SELECT * FROM INSTITUTS WHERE inst_name='$fc_inst'";
$result=mysql_query($req) or die ('Erreur :'.mysql_error());
if (mysql_num_rows($result)){
echo '  name exist';
}
else {
echo '  does not exist.';
}

Probleme is, when imm looking for "test", it says does not exist, even if i have "Test" in my database.