Math 129 Section 005H Lecture 13: Comparison of improper integrals¹¹ 1 This document is licensed under a Creative Commons Attribution 3.0 United States License Exercise

More examples

(Wednesday, September 22, 2021)

4)

Does

$\int_{0}^{\infty}\frac{|\cos(x)|}{1+x^{2}}~{}dx$

converge?
5)

Does

$\int_{0}^{\infty}e^{-x^{2}}~{}dx$

converge?