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Intelligent handling of Infinity in Limits


dear all,

i was trying to do Integrate[ r^2 Exp[-a r^2], {r,0,Infty}]  but MMA
couldn't simplify a term which clearly was zero.

next i tried integrating over {r,0,r} and then took the limit as r->Infty.

MMA had the same problem.   i'm not interested in the answer since i
already know the answer.  i'm interested in how to get the answer.  i'm
sure it's obvious.  can someone tell me?

peter

ps- i just bought the student's MMA 3.0 and MathTensor.  i know that the
student version of mathtensor is not crippled----is the student version
of MMA crippled in any way? 



--
You can sum some of the series some of the time,
But you can't sum all of the series all of the time.
-=><=-+-+-=><=-+-+-=><=-+-+-=><=-+-+-=><=-+-+-=><=-+-+-=><=-+-+-=><=-+-+-=><=-
     I BOYCOTT ANY COMPANY THAT USES MASS ADVERTISING ON THE INTERNET



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