Robin Good: Here is a truly well prepared illustrated guide to record your screen on your iPhone or iPad.
"This detailed guide describes the various options that will help you record movies (screencasts) of your iPad or iPhone screen. You can use it for capturing app demos, game walkthroughs and more."
Amit Agarwal of Digital Inspiration, has done an excellent research and curation job in bringing together the very best tools, resources and video tutorials that clearly explain how to record the screen on your favorite smartphone.
This guide includes six alternative solutions, all clearly explained by an accompanying video. Very useful.