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

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

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