New answers tagged debugging
It looks like your integral results vary by a constant of integration (see Possible Issues->Indefinite Integrals in the documentation for Integrate). Observe FFex1[x_, X_, Y_, Z_, t_] := Integrate[((x - X) (t/Sqrt[ t^2 + x^2 - 2 x X + X^2 + y^2 - 2 y Y + Y^2 + 2 t Z + Z^2] + Z (-(1/Sqrt[x^2 - 2 x X + X^2 + y^2 - 2 y Y + Y^2 + ...
Choose Evaluation - Uncheck debugger If it appears again even after you uncheck, save the program, close MMA and restart. It shouldn't reappear (at-least in my case, seems like its a bug). See this
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