At low rpm, when i give it some throttle it coughs, as if not getting enough fuel?

I was on a road trip in my 96 Acura integra rs and i was cruising in 5th gear, and i went to overtake someone. I gave it about 1/3 throttle and it coughs. It like right before your car runs out of gas. Except once above 3000rpm it stops doing this. Whats wrong and how do i fix it?