Every school I've ever been at in British Columbia (High School, College, University) - starts with derivatives, and then moves onto integral calculus. They st

Every school I've ever been at in British Columbia (High School, College, University) - starts with derivatives, and then moves onto integral calculus. They start with the calculating slope on a curve f(x) being lim h->0 f(x+h)-f(x)/h - spend a few weeks deriving various derivatives, show how you can find tops/bottoms of curves (derivate=0), talk about limit theory a bit, take a bunch more complicated equations derivatives. Then, once that's figured out - take the inverse, and look at area's under curves, volumes, etc... My brain lost it at integration by parts (so many parts) - too much memorization, and so came an end to my mathematics education in that space. I'm happy they were taught in that order, mostly on being exasperated with having to memorize all the integration by parts formulas.