Integral that should converge, but Mathematica says it does not
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- Subject: [mg128827] Integral that should converge, but Mathematica says it does not
- From: "Nasser M. Abbasi" <nma at 12000.org>
- Date: Thu, 29 Nov 2012 06:04:06 -0500 (EST)
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May be someone who knows math better than me can look at this.
Integrate[x/(1 + (x^6*Sin[x]^2)), {x, 0, Infinity}]
Mathematica says
Integrate::idiv: Integral of x/(1+x^6 Sin[x]^2) does not converge on {0,\[Infinity]}. >>
But according to this post in the Math group
http://math.stackexchange.com/questions/245461/convergence-of-an-improper-integral-with-trig-function/245515#comment541244_245515
someone showed that it does converge.
Just thought to ask someone here for a second look. If you think also
this should converge, and the proof shown in the above link is
correct (it seems to be, but again, I am not a math major), I will
send a bug report to WRI
Version 9 on windows 7
thanks
--Nasser