My iphone 4 turns off abruptly after being on for a minute?

My iPhone 4 will turn off very abruptly after being on for less than a minute, its stays on only when attached to a power supply, it may last a bit longer if I'm listening to music but still eventually turns off abruptly. I did have a problem with the phone in which it wouldn't turn on at all but it turned out to be the battery was not connected. Any ideas to what it might be this time?

Send it to your phone provider for repair

IPhone needs a new battery.

1. If you still have warranty on it send it to apple or go to the nearest apple store.
2. If not find a 3rd party phone repair shop around you. Usually a mall has one of those booth where they fix phones.

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