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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