I half agree. I'm not sure if your or most calculus curriculums involved much derivation, or whether I ended up lucking out and getting a great instructor. We e

I half agree. I'm not sure if your or most calculus curriculums involved much derivation, or whether I ended up lucking out and getting a great instructor. We ended up deriving a number of the "integral tricks" from "scratch" (e.g. Fundamental Theorem of Calculus). Sometimes they went way over our heads, but I generally found that the derivation process really helped me understand at more of a gut level what was going on.