I guess its a bit too late now, but my general tip would be to
understand the formulae and how they work, that way memorisation will be much easier, and if you do forget them you can derive them.
Simple way to do simpson's and trapezoidal rules:
Trapezoidal:
____________________________________
...x...........f(x)...........K..............K*f(x)
....a............f.............1................f
....b...........g.............2................2g
....c............h.............2...............2h
....d............i..............2...............2i
....e............j.............1................j
draw a table like that up each time, then add the values in the K*f(x) column, and multiply them by the difference between each of your x values, divided by 2 ie (b-a)/2
And for simpson's rule you K column should read 1, 4 , 2, 4, 1, and you multiply at the end by (b-a)/3
This way theres really not much messy formula memorisation, just have to have a basic idea of what the table is, and what the values in the K column are
