Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 8 - Integration Techniques, L'Hopital's Rule, and Improper Integrals - 8.8 Exercises - Page 575: 4

Answer

The integral is improper.

Work Step by Step

The integral has bounds of $[1,\infty]$, therefore, it is improper. In addition, the integrand $\ln(x^2)$ approaches a vertical asymptote as $x\to0^+$. This also makes the integral improper.
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