I needed to add a file that was 17MB to my media library and could not because of the 8MB media library limit. I researched how to increase the upload size but was having trouble adding php.ini/php5.ini/.htaccess, etc. So I found a work-around using Filezilla that I thought I would post in case there are other non-coding people out there like myself. It's pretty simple:
-Go to plug-ins on your WP dashboard and search for the "Add
from Server" plug-in. Activate it.
-Using Filezilla(there are tutorials on how to use Filezilla
on youtube), upload your large file into the Uploads folder
which is under wp-content.
-Now go back to the WP dashboard and click on Media. One of
your choices now is Add From Server. Click on Add From Server
and it will ask you which folder you want to look in, ours being
in the Uploads Folder.
Again, I tried adding php.ini and php5.ini to no avail, so this was a pretty simple solution for me. Hopefully it works for someone.
Best of luck