I was wondering if anyone knew of any good books (or textbooks, or websites) which discuss finding series representations of integrals which exist, but don't have a closed form. I'm interested in the subject at the moment, but I haven't had much luck online. Furthermore, what branch of calculus would this fall under? I'd imagine that it would be some kind of analysis, but seeing as I've never taken an analysis course, I have no idea what type. (I've only taken Calculus I, II, III and Diff Eq). Thanks for the help! EDIT: I forgot to say that I'm really only interested in the integrals of real functions. I guess that that's important.