NOTE: If this device is under warranty, contact the manufacturer before doing anything with any of the hardware, including opening it up.
While I understand that you are saying it is a built in battery, please note that all batteries are removable, just some are really not so easy to remove.
Try the following and see if it will turn on.
1. First make sure the device has been charged.
2. Unplug your charger cord.
3. Remove the battery.
4. Press and hold the "Power" button for 30 seconds and see if the device will turn on.
5. If it does, great, if not yet, no big deal. Now plug back in the power/charger cord. (If it didn't turn on without the cord in, it should turn on once you it is in. Yes sometimes they will turn on, or try to turn...