Explanation Solution: An improper integral is a definite integral that has either or both limits infinite or an integrand that approaches infinity at one or more points in the range of integration . For example: The integral ∫ 1 ∞ x − 3 d x , ∫ 1 ∞ x − 2 / 3 d x and ∫ 1 ∞ x 2 d x are improper integral. Now, ∫ 0 π / 2 cot x d x = ∫ 0 π / 2 cos x sin x d x Put sin x = t ⇒ cos x �...

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 8.7, Problem 2PQ

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To describe:

$\int_{0}^{π / 2} \cot x d x$ is an improper integral.

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Chapter 8.7, Problem 1PQ

Chapter 8.7, Problem 3PQ

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Chapter 8 Solutions

CALCULUS (CLOTH)

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Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=rCWOdfQ3cwQ;License: Standard YouTube License, CC-BY

∫ 0 π / 2 cot x d x is an improper integral.

Solution Summary: The author explains that an improper integral is a definite integral that has either or both limits infinite or an integrand that approaches infinity at one or more points in the range of integration.

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$\int_{0}^{π / 2} \cot x d x$ is an improper integral.

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Chapter 8 Solutions

∫ 0 π / 2 cot x d x is an improper integral.

Solution Summary: The author explains that an improper integral is a definite integral that has either or both limits infinite or an integrand that approaches infinity at one or more points in the range of integration.

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To describe: ∫0π/2cotxdx is an improper integral.

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Chapter 8 Solutions

To describe:

$\int_{0}^{π / 2} \cot x d x$ is an improper integral.