My iPhone broke and I need to recover the data on it?

My sister dropped my phone from pretty far up, and now the screen does not show anything - it won't turn on. I'm pretty sure I'm still able to charge it, (that's a maybe) and when I plug it in to the iTunes app on the computer it recognizes a device is connected. We took it to the iPhone store to see if we could fix it, and the guy didn't really do anything except take off the back of the phone and examine it. I really need some of the stuff on my phone back, so please help!

You can download I backup bot or Iexplorer. Once you've done that back it up on iTunes or use the thing you downloaded to look at a previous backup of the phone. Either Your data will be there or you will have to pay to have it fixed or the data recovered