#### 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 $\sin 0 =0$).

Published by
W. H. Freeman

ISBN 10:
1464125260

ISBN 13:
978-1-46412-526-3

This is an improper integral.

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