Re: Solving a Integral

• To: mathgroup at smc.vnet.net
• Subject: [mg78069] Re: Solving a Integral
• From: ehrnsperger.b at pg.com
• Date: Fri, 22 Jun 2007 06:39:50 -0400 (EDT)

```Jean-Marc,

thanks for your help. I made the changes as you suggested and I still can
not convince Mathematica to solve the integral. Any additional
suggestions?

Thanks,

Bruno

Dr. Bruno Ehrnsperger
Principal Scientist

Procter & Gamble Service GmbH
Sulzbacherstr.40
65824 Schwalbach
Germany

fon +49-6196-89-4412
fax +49-6196-89-22965
e-mail: ehrnsperger.b at pg.com
internet: www.pg.com

Gesch=E4ftsf=FChrer: Otmar W. Debald, Gerhard Ritter, Dr. Klaus Schumann,
Willi Schwerdtle
Sitz: Sulzbacher Str. 40, 65824 Schwalbach am Taunus, Amtsgericht:
K=F6nigstein im Taunus HRB 4990

Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
21/06/2007 15:30

To:     Bruno Ehrnsperger-B/PGI@PGI, mathgroup at smc.vnet.net
cc:
Subject:        Re: Solving a Integral

ehrnsperger.b at pg.com wrote:
> I need help in solving the following integral:
>
> Integral = 1/(beta^alpha* Gamma[alpha]) *
> Integrate[x^(alpha-1)*Exp[-x/beta]/(1+Exp[-a*x-b]),{x,0, infinity},
-----------------------------------------------------------^^^^^^^^
oo Must be written Infinity (with a capital I)

> Assumptions: (alpha> 0)||(beta > 0)||(a > 0)||(b <0)]
-------------^^
The : character means nothing here: use ->

Moreover, are you sure that you want a OR ( that is ||) condition on
your assumptions rather than an AND (that is &&)?

HTH,
Jean-Marc

> The Integral is approximately 1/(beta^alpha* Gamma[alpha])
> *1/(1+Exp[-a*alpha*beta-b]) + Order[alpha*beta^2]
>
> However, I would like to have an exact analytical solution, and I am
> failing to convince Mathematica to give me the solution. Is there a way
to
> ask Mathematica to give the solution as a series expansion of my
> approximate solution?
>
> Thanks so much for your help,
>
> Bruno
>
> Dr. Bruno Ehrnsperger
> Principal Scientist
>
> Procter & Gamble Service GmbH
> Sulzbacherstr.40
> 65824 Schwalbach
> Germany
>
> fon +49-6196-89-4412
> fax +49-6196-89-22965
> e-mail: ehrnsperger.b at pg.com
> internet: www.pg.com
>
> Gesch=E4ftsf=FChrer: Otmar W. Debald, Gerhard Ritter, Dr. Klaus
Schumann,
> Willi Schwerdtle
> Sitz: Sulzbacher Str. 40, 65824 Schwalbach am Taunus, Amtsgericht:
> K=F6nigstein im Taunus HRB 4990
>
>

```

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