Short version: Get a door actuator from an Odyssey. Remove the one necessary part (see below) and put that into the Integra's actuator.
The infamous trunk actuator broke on my car after just a few years but never bothered to fix it until few days ago.


Close up of the broken part

Odyssey part #

The keyhole shaped piece is behind the gear circled in red. That's the only part you really need. The gears may look the same as the ones in the Integra but they are not.
The motor circled in green doesn't have to be replaced but I did anyway...just because.
