Screen capture / record iPhone / iPad Short Question : 

Is there a mobile app or some desktop software I  can use while my iPhone / iPad is connected to my Macbook Pro that will allow me to record a video of the screen ?

Long Question : 

I dont quite a lot of mobile site development and testing. When presenting bugs etc to my team I  like to show them a video of what is happening.

For desktop issues I  just open the browser and the use screen capture in Quicktime. Where ever possible I  do the same for iOS issues using the mobile emulator in Chrome, but because its only an emulator it isnt 100% accurate so not all issues show up. 

Some issues I  have to use the real device. At the moment I  capture video for this by using one iphone to film on and another to show the issue, but this is not particularly slick.  (I know I  can run a desktop iphone / ipad emulator through Xcode, but this only has Safari on there, not Google Chrome as some issues are browser specific)

Is there a mobile app or some desktop software I  can use while my iPhone / iPad is connected to my Macbook Pro that will allow me to record a video of the screen ?
Try downloading reflector, it will mirror your screen, allowing you to use a screen recorder on your Mac to record it.