Is sin(x)/x integrable? It depends on what you mean by "integrable"!

This animation walks through a complete proof of two facts about f(x) = sin(x)/x, with f(0) = 1: 1. f is NOT Lebesgue integrable on the real line. 2. Yet the improper integral exists. The function is one of the examples for Problem 3A.7 from the textbook ⌈Axler (2026). Measure, Integration, and Real Analysis⌋ 🛠️ Made with Manim Community Edition: https://www.manim.community Textbook2Agent, my open-source agent skill for self-studying from textbooks, now with Manim animations: https://github.com/vohuynhquangnguyen... #maths #realanalysis #measuretheory