Songs from a broken iPhone it my new one?

Here s the situation. I had an iPhone and I kept it in my pocket and forgot about t when I went for a swim. So that one does not work anymore at all. I now have a new iPhone. My question is how do I get the song from my broken iPhone into my new one considering I haven't backed up my old one. All my songs have been bought through iTunes but like I said I never synced them to my computer or anything. Any help?

If they were bought through iTunes, then it should be in iTunes on the computer. I know you can also have songs automatically sync to other devices as well.

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