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MathGroup Archive 2007

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Re: Integration with non-numeric parameters

  • To: mathgroup at smc.vnet.net
  • Subject: [mg79776] Re: Integration with non-numeric parameters
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Sat, 4 Aug 2007 05:52:14 -0400 (EDT)
  • References: <f8v1cb$ded$1@smc.vnet.net>

Hi,

there is no analytical expression for integrals of the form

Integrate[Exp[a*t^n],t]

for n>2.

Regards
   Jens

ingramfinance at gmail.com wrote:
> When I use Mathematica to solve the following
> y=x1/(2*sigma^2*t)
> 
> Integrate[y, {t, .5, 1}]
> 
> I get the following answer:
> 
> (0.34657*x1/sigma^2)
> 
> OK, so far, so good. It appears that I can generate an answer with a
> non-numeric parameter. Note that I am looking for an answer in terms
> of x1.
> 
> But when I try
> 
>  q=Exp[-(x1-t)^2/2*sigma^2*t]
> 
> Integrate[q, {t, .5,1}]
> 
> Now Mathematica does not solve this integral, it just repeats the
> command
> 
> 
> 
> I am trying to get an expression in terms of x1. Why do I get a
> statement like this instead of an answer?  There is something about
> the functional form of the integrand that is causing the problem, I
> just don't know what it is.
> 
> 
> Any help you can give me is much appreciated!
> 
> 


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