how do I improve my simple mod_rewrite in htaccess?

I am using mo开发者_JS百科d_rewrite for clean urls but I'm just having a small problem.

The line in particular is:

RewriteRule ^events/(.*)$ fe_events.php?event_url=$1

This works. I can go to url.com/events/something_or_other and it works as expected. The problem however is then if I just go to url.com/events it doesn't work - I've got to go to url.com/events/ (with a trailing forward slash on the end).

Can I simply modify this line or do I need to add another line such as:

RewriteRule ^events$ fe_events.php

Thanks for your time!

RewriteRule ^events(/(.*))?$ e_events.php?event_url=$1

this should work.