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MathGroup Archive 1998

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Re: Can I get ComplexExpand to really work?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg14580] Re: Can I get ComplexExpand to really work?
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Fri, 30 Oct 1998 03:07:47 -0500
  • Organization: University of Western Australia
  • References: <719f5p$lc6@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Topher Cawlfield wrote:

For your example:
 
> ComplexExpand[Integrate[E^(I a x^2), {x, -Infinity, Infinity}]]

since you are assuming that 'a' is real and positive then you can use

In[1]:= Integrate[E^(I*a*x^2), {x, -Infinity, Infinity}, 
  Assumptions -> a > 0]

Out[1]=
             Pi
(1 + I) Sqrt[--]
             2
----------------
    Sqrt[a]


Cheers,
	Paul

____________________________________________________________________ 
Paul Abbott                                   Phone: +61-8-9380-2734
Department of Physics                           Fax: +61-8-9380-1014
The University of Western Australia            Nedlands WA  6907       
mailto:paul at physics.uwa.edu.au  AUSTRALIA                       
http://www.physics.uwa.edu.au/~paul

            God IS a weakly left-handed dice player
____________________________________________________________________


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