Chosen Solution

I put my dsi xl on my bed with the earphones in that came with the dsi xl and my dsi xl fell off of my bed and the part where you plug your earphones in with snapped in half and is stuck inside the earphone jack

You should try using a GripStick headphone plug extraction tool. That will help you remove a broken 3.5mm headphone plugs from the jack. Ifixit offers said tool. GripStick Headphone Plug Extraction Tool