This is a tricky domain because, unlike simple arithmetic, to solve a calculus problem - and in particular to perform integration - you have to be smart about which integration technique should be used: integration by partial fractions, integration by parts, and so on.
Marvin MinskyThere are three basic approaches to AI: Case-based, rule-based, and connectionist reasoning.
Marvin MinskyOur present culture may be largely shaped by this strange idea of isolating children's thought from adult thought. Perhaps the way our culture educates its children better explains why most of us come out as dumb as they do, than it explains how some of us come out as smart as they do.
Marvin Minsky