How to add music videos from YouTube onto Iphone?

I can download them and they come up as an MPG-4 movie file. When I add it to itunes it comes up in the Movies tab thing. Is there anyway i can have them in the Music videos tab so they appear in albums and stuff?

Download iTube then search anything you want that's on YouTube click it wait until the orange bar is loaded add it to a playlist then you can watch it when you don't have internet