More shootouts in LA Noire?

I'm on my 4th or so investigation as a homicide detective in LA Noire and at this point I am becoming bored with the game. Does it get more exciting later on or does it stay the same slOw pace throughout the game? Maybe I should have researched the game a little further before I bought it but I was hoping for more shootouts and action. The games not bad, it's just becoming a little boring at this point. All the cases seem the same with very little action. Does it get better?