how to export cycle area with movie?

I'm working on a film scoring project with some friends.

It's like an hour long thing, but I've got a really neat section that i've written and synced up to the video and I've got my cycle area set to that section.

Is it possible to bounce the cyle area with video?

I tried looking in the documentation but either I'm really missing something or the "working with video" section is laughably short and devoid of details.

Seems like the kinda feature that would be there, but it's not obvious to me how to access it.