1. Of a police officer, to make a written declaration under oath in the presence of an authorized person, especially to use as evidence or in order to obtain a warrant. The disgraced cop admitted to swearing out false affidavits to confound investigations in return for bribes from the notorious crime syndicate. The judge swore out a warrant to search the suspect's home, but it was never served by police.

2. To issue a litany of profane language as a reprimand or attack against someone. In this usage, a noun or pronoun is used between "swear" and "out." He stood there swearing out the driver that nearly backed into his car. The boss swore me out for a good five minutes for messing up the accounts so badly.