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I think I solved this problem. The error message was due to the fact that Mathematica cannot perform the internal integration, so I split the two integrations and used NIntegrate instead of the symbolic integration: p[z1_?NumericQ, R_?NumericQ, z_?NumericQ] := -NIntegrate[ BesselK[0, x/Ld]*x* ArcSin[(2*x)/( Sqrt[(z1)^2 + (x + 7.6)^2] + ...

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