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 Comparison test More examples

Exercise

(Wednesday, September 22, 2021)

2)

$\star$ Does

$\int_{10}^{\infty}\frac{x^{2}+2x+1}{x^{3}-x^{2}}~{}dx$

converge?
3)

$\star$ Does

$\int_{1}^{\infty}\frac{\sqrt{x^{7}+1}}{x^{4}}~{}dx$

converge?