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 MinskyArtificial intelligence is the science of making machines do things that would require intelligence if done by men.
Marvin MinskyWhat is intelligence, anyway It is only a word that people use to name those unknown processes with which our brains solve problems we call hard. But whenever you learn a skill yourself, you're less impressed or mystified when other people do the same. This is why the meaning of 'intelligence' seems so elusive: It describes not some definite thing but only the momentary horizon of our ignorance about how minds might work.
Marvin Minsky