## Calculus (3rd Edition)

Published by W. H. Freeman

# Chapter 8 - Techniques of Integration - 8.7 Improper Integrals - Preliminary Questions - Page 440: 2

#### Answer

This is an improper integral.

#### Work Step by Step

$\int_{0}^{\pi / 2} \cot x d x$ is an improper integral because we know that $\cot x=\dfrac{\cos x}{\sin x}$ is undefined at $x=0$ (since $\sin 0 =0$).

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