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Problem finding integral of exponentials

  • To: mathgroup at smc.vnet.net
  • Subject: [mg59627] Problem finding integral of exponentials
  • From: Kevin Towles <kbt22 at drexel.edu>
  • Date: Sun, 14 Aug 2005 04:38:12 -0400 (EDT)
  • References: <200508130726.DAA00918@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

I have a fairly specific problem of not being able to obtain the 
definte integral of a fairly complex function.  Does this mean that 
this integral is not possible in Mathematica?

a = AverageDiameter;
r0 = ForsterRadius;
h = BilayerThickness;
R = DomainDiameter;
=CF=84 = DonorLifetime;

ThisLayer = Integrate[(1 - Exp[(-(t/=CF=84))*(r0/r)^6])*2*Pi*r, {r,a,TotalR}];
OtherLayer = Integrate[(1 - Exp[(-(t/=CF=84))*(r0/r)^6])*2*Pi*r, {r, h,TotalR}];
pCont = Exp[-(t/=CF=84)]*Exp[(-=CF=83A)*(ThisLayer + OtherLayer)];
Econt = 1 - (1/=CF=84)*Integrate[pCont, {t, 0, TotalTime}];


All of the variable listed first (a, r0, h, R, and tau) are constants.

Any help is appreciated,

Kevin Towles



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