I am studying for GRE Math. I am looking for specific tips. What types of questions usually come up? Does anyone know any tricks (e.g. integration tricks) that might be helpful? Which theorems are absolutely essential? Apparently, most of the test is calculus and probability theory. What types of calculus and probability questions come up? Overall, how to score high on the GRE Math? Please be specific.
Edit: Please do not state the obvious. I know I need to study and take the practice tests. I am looking for specific tips and tricks that might help answer some types of questions faster.

One thing I specifically remember coming up on both practice exams and the actual tests that I had never explicitly learned is the Leibniz integral rule. It has a similar feel to the Fundamental Theorem of Calculus Part 1, but for multivariable functions.