Screen Sharing on iPhone Is it possible on the iPhone to share the screen live? In other words I would have an app on the iPhone that would allow a person to see my screen live while they watched via a secure URL. 

I have seen some apps that allow for screen sharing of files from the iPhone but not the actual screen. 

If it is not possible to share the screen live is it possible to record a video of the screen? 

Notes: I am not looking for ways to control another iPhone just show the screen live, I am not on a jailbroken iPhone, and I am running iOS 6. Also I am curious to the same for the iPad.
For recording the screen as a video, this site seems to sum up the ways nicely:

http://www.apptamin.com/blog/capture-iphone-ipad-screen-video/

Hope it helps.