Transferring music from iPhone into new iTunes library?

[Anthony T]

Before I bought my iPhone, I had an 80GB iPod classic that I used on my laptop. When I got my iPhone, I synced all of the music from my iTunes on my laptop onto my iPhone.

Now, I want to use my iPhone on my other desktop computer. Is there anyway I can transfer the songs into my iTunes library on my 2nd computer from my iPhone?

 

[phishie]

The only free method I've found is using Winamp (http://www.winamp.com/player) with the iPod plugin (http://mlipod.sourceforge.net/?page=home).