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Show that fo | In xdx and fo (x(ln x)(1 + x))dx converge. Show that fox cos xdx converges for p > 0 and
Show that fo | In xdx and fo (x(ln x)(1 + x))dx converge. Show that fox cos xdx converges for p > 0 and converges absolutely if p > 1. Show that exxPdx converges for any p R.
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A To show that the integrals 1 lnxdx and 1 xlnx1x 2 1 dx converge 0 0 we need to analyze the behavior of the integrands as x approaches 0 and as x approaches 1 1 for 1 lnxdx 0 The integrand lnx approa...
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Introduction to Real Analysis
Authors: Robert G. Bartle, Donald R. Sherbert
4th edition
471433314, 978-1118135853, 1118135857, 978-1118135860, 1118135865, 978-0471433316
