Let p > 0. Show that x/xp is improperly integrable on [1, ) and that cos x/logp

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Let p > 0. Show that x/xp is improperly integrable on [1, ∞) and that cos x/logp x is improperly integrable on [e, ∞).

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:04 AM

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Let p > 0. Show that x/xp is improperly integrable on [1, ) and that cos x/logp

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Since p 0 integration by parts yields By Remark 546 and Exercise 542a this last integral is ...View the full answer

An Introduction to Analysis

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