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Integral that should converge, but Mathematica says it does not
Posted:
Dec 3, 2012 3:18 AM


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/convergenceofanimproperintegralwithtrigfunction/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



