What annoyed me about integral calculus was that it all seemed to be a bunch of heuristic rules. They showed me how to differentiate "from scratch", as it were, like from first principles; but integration seemed to be working backwards from the results of differentiation (which is roughly what you just said).
That is, it didn't look like maths to me. It didn't seem to have the rigour of, say, trig.
I expected maths to be deterministic, and I hated having heuristics in there. It was a gut reaction, it happened when I was about 17, and I'm sure that integration isn't heuristic in that way; I wonder if my mental block might not have ocurred if it had been presented to me differently.
That is, it didn't look like maths to me. It didn't seem to have the rigour of, say, trig.
I expected maths to be deterministic, and I hated having heuristics in there. It was a gut reaction, it happened when I was about 17, and I'm sure that integration isn't heuristic in that way; I wonder if my mental block might not have ocurred if it had been presented to me differently.