It'll be inside the metal case of the saw itself - big brutes, around the size of a coke can. So not in the plastic switch box.
If you roll the slide all the way back, and slide out the long plate that is underneath/protects the motor and blade, and shine a torch towards the front of the saw (around the area of that switch box), you should see the capacitor. (May be several - I can't remember).
There's also an inspection panel on the opposite end of the saw - near the dust port. If you take that off and shine a torch at the other end I think you should spot it (but wont be able to reach it that way unless you're an orangutan).
Worth checking all those safety switches before you start pulling things apart - they can be a bit finicky, particularly the ones for that sliding plate under the sliding table.
