Integral Sum
- To: mathgroup at smc.vnet.net
- Subject: [mg131320] Integral Sum
- From: losze1cj at gmail.com
- Date: Fri, 28 Jun 2013 04:12:53 -0400 (EDT)
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Does any know why mathematica won't combine these integrals Integrate[ 2*Exp[-z[1]*x]*x*V[x]/(z[1]*(z[1] + z[j])^2), {x, 0, Infinity}] + Integrate[ Exp[-z[1]*x]*x*V[x]/(z[1]^2*(z[1] + z[j])^2), {x, 0, Infinity}] and how I can get it to? I am assuming that V[x] is simply a polynomial in x, so that the integrals are convergent. I would like to see this expression simplify to be Integrate[ 2*Exp[-z[1]*x]*x*V[x]/(z[1]*(z[1] + z[j])^2) + Exp[-z[1]*x]*x*V[x]/(z[1]^2*(z[1] + z[j])^2), {x, 0, Infinity}], so that I can ultimately get to the simplified expression FullSimplify[ Integrate[ 2*Exp[-z[1]*x]*x*V[x]/(z[1]*(z[1] + z[j])^2) + Exp[-z[1]*x]*x*V[x]/(z[1]^2*(z[1] + z[j])^2), {x, 0, Infinity}]]. Any tips? Thanks.
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