(a) Show that the integral 1 x-1 ln x dx does not converge. (b) Show that if...

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(a) Show that the integral ∫∞1 x-1 ln x dx does not converge.
(b) Show that if a > 1, then ∫∞1 x-a ln x dx = 1/(a - 1)2.
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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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