#improper integrals

Gabriel’s Horn and Improper Integrals

This post is about an interesting problem in mathematics called Gabriel’s Horn (also known as Toricelli’s trumpet). It comes up when learning about surface area and improper integrals in calculus. This is Moroni, not Gabriel. But the resemblance is striking. The name “Gabriel’s Horn” is explained by the following quote, courtesy of Wikipedia: The name refers to the tradition identifying the…