Here is a self-reminding note of my graduate student seminar (a.k.a. Pizza seminar) at Rutgers.
Title: Which integral is elementary?
Abstract: It is "well known" that the indefinite integrals of $e^{-x^2}$ and $1/\log x$ are not elementary functions, but the reason behind is usually a blindspot for many calculus or undergraduate classes. In this talk, I will discuss two theorems due to Liouville that characterize the types of integrands whose integrals are elementary functions.
Link to PDF
