---
tag: 0F9VKJPWCA
kind: concept
name: Absolutely convergent improper integral
msc: [40A10]
sources:
  - url: https://en.wikipedia.org/wiki/Improper_integral
    locator: Improper Riemann integrals and Lebesgue integrals
---

## Summary

An improper integral converges absolutely when the improper integral of the absolute value of the integrand converges. Absolute convergence implies convergence, but not conversely. The node [[absolutely convergent improper integral|03GP7KMBYM]] gives the precise definition.