A new app will allow you to record your iPhone screen, without any jailbreaking. It’s called xRec.  You can record the entire screen activity, but app requires a constant internet connection.  It is wise to use this app over a Wifi network.  The app can also record audio through the mic. iOS 5 or higher is required to run xRec, but it is not yet compatible with iOS 7.   x-rec record iphone screen