I find that on the GS-R I do all my braking before the turn and then to feather the gas during the turn and then gradually get to full throttle as I exit the turn. If I get on the gas too hard and too early instant understeer will occur and you'll be plowing ahead spinning the tires, wasting time, and not making the turn. The GS-R has a pretty quick steering ratio and the power steering is able to keep up. Use this to your advantage. You can make very quick transitions when you need to save your butt, but the main advantage lies in taking slaloms.
Tight slaloms requires the wheels to be turning constantly.
Get right next to those cones, but don't hit them. Hitting cones are such a huge penalty. The Integra is pretty narrow and can take those slaloms pretty tight. On the tight slaloms, even though you may be moving the steering wheel all the time, you still want to minimize it as much as possible. Minimizing the steering motion and corrections needed applies to any turns.