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May 4th, 2013, 01:12 PM  #1 
Math Team Joined: Nov 2010 From: Greece, Thessaloniki Posts: 1,990 Thanks: 133 Math Focus: pre pre pre pre pre pre pre pre pre pre pre pre calculus  Computation of an integral.
[color=#000000] This problem was encountered here. Subject: computation of the integral . We will integrate the function (0<p<1) over the next figure. [attachment=0:29xm8yvr]ikk.png[/attachment:29xm8yvr] Letting and using the inequality so . Since as , . So as we are left with, and since the last two integrals converge absolutely we can omit the P.V. (principal value) and knowing that we get . So and for p=1/3 we get .[/color] 

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