Re: Calculation of a not so simple integral
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- Subject: [mg131216] Re: Calculation of a not so simple integral
- From: Alexei Boulbitch <Alexei.Boulbitch at iee.lu>
- Date: Mon, 17 Jun 2013 06:31:32 -0400 (EDT)
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(*Partial Fractions decomposition, Fourier Integrals The problem diagnostics: Calculate Integrate[ Sin[x/2]^2 / x^2 / (x^2-4*Pi^2 )^2 / (x^2 + a^2)^2 , {x,-oo,oo}, Assumptions-> a>0] The integrand is nonnegative, has no poles on the real line and decays rapidly ~ x^-10 as x->+-oo Hi, Roland, I checked your expression, it has a pole on the x axis. Check this Sin[x/2]^2 / x^2 / (x^2-4*Pi^2 )^2 / (x^2 + a^2)^2//StandardForm Could it be the case, that you have just written it down in a wrong way? Alexei BOULBITCH, Dr., habil. IEE S.A. ZAE Weiergewan, 11, rue Edmond Reuter, L-5326 Contern, LUXEMBOURG Office phone : +352-2454-2566 Office fax: +352-2454-3566 mobile phone: +49 151 52 40 66 44 e-mail: alexei.boulbitch at iee.lu
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