Randy Travis Arrest Footage -- You're REALLY Gonna Take Me to Jail???

Randy Travis was downright DUMBFOUNDED when Texas police told the singer he was being arrested for public intoxication earlier this month ... telling cops, "Really? Are you kidding me?"

Dashcam footage, obtained by KCENTV.com​, shows the country star talking slowly and slurring to police as he's questioned about why he was sitting in a parked car near a Baptist church in the middle of the night on Feb. 6.

In the footage, Travis is asked if he had been boozing ... to which he replies, "Yes, sir, I have. But I am not driving, as you can see." As TMZ previously reported, cops say Travis reeked of booze.

The officer asked Travis for ID, but the singer didn't have his driver's license on him at the time.

The officer continued, "Here's what's going to happen tonight ... You're going to go to jail for public intoxication."

Travis: "Really? Are you kidding me?"

Cop: "Maybe once we get to the jail, we can figure out who ... get some more information on you, who you are."

Travis: "Are you kidding me?"

The cop wasn't kidding ...