Integrals and the Rogers-Ramanujan identities

This talk will survey integrals related to the Rogers-Ramanujan (RR) identities. In particular I will show that a q-analog of the freshman calculus integral $c\int_{-\infty}^{\infty} e^{xt-x^2/2} dx= e^{t^2/2}$ immediately gives the mod 5 RR identities. Many new results will be given, whose algebraic meaning is not known. This is joint work with Tina Garrett and Mourad Ismail.