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Have you guys ever needed to define Integrate boundaries as equations?

I tried to submit the equation as was written in original text but it seems that mathematica can't understand it.

kb = 0.001872041; Na =  6.02214129*10^23;
ep = 10.22; p = 2.56;

pot2[r_] := 4 ep ((p/r)^12 - (p/r)^6)

f[r_, T_] := Exp[-pot2[r]/(kb T)] - 1
    B3[T_] := -8 \[Pi]^2/3  Na^2 \!\(
\*UnderoverscriptBox[\(\[Integral]\), \(0\), \(\[Infinity]\)]\(
\*UnderoverscriptBox[\(\[Integral]\), \(0\), \(\[Infinity]\)]\(
\*UnderoverscriptBox[\(\[Integral]\), \(Abs[r12 - r13]\), \(r12 + 
       r13\)]f[r12, T]\ f[r13, T]\ f[r23, 
       T]\ r12\ r13\ r23\ \[DifferentialD]r12 \[DifferentialD]r13 \

Original Text

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share|improve this question
Perhaps you should try to find the real culprit Integrate[ x y z, {x, 1, 2}, {y, -x, x^2}, {z, x - y, x + y}] – Dr. belisarius Jul 2 '13 at 12:44

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