ABSTRACT
Anyone who has taken a calculus course at high school or college has read
the instruction: “Evaluate the following integral.” For many students, the
words fill themwith dread, for others they bring a shiver of excited antici-
pation. For both groups, the reason is the same: integration is hard. As an
inverse operation, it requires a great deal of pattern-recognition skill and
experience. Students who love a hard intellectual challenge generally find
integration extremely satisfying, especially when a seemingly impossible
integral turns out to have an elegant solution.
