I have to calculate some Laplace Integrals but if I use LaplaceTransform then it does not give the conditions when the integral converges. Is there an option to get the conditions without using the integral?


LaplaceTransform[c, t, s]
(* Out: c/s *)

InverseLaplaceTransform[c/s, s, t]
(* Out: c *)

Using Integrate and the definition of the Laplace transform gives a conditional expression instead:

Integrate[c Exp[-s t], {t, 0, Infinity}]
(* Out: ConditionalExpression[c/s, Re[s] > 0] *)

closed as off-topic by shrx, LLlAMnYP, m_goldberg, Silvia, dr.blochwave Sep 11 '15 at 12:02

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  • 2
    $\begingroup$ wolfram.com/xid/0h2pdw27n2-6pnei $\endgroup$ – Chip Hurst Sep 11 '15 at 2:16
  • $\begingroup$ LaplaceTransform has a GenerateCoditions option. $\endgroup$ – m_goldberg Sep 11 '15 at 10:39
  • $\begingroup$ @m_goldberg ...but in the top case GenerateConditions does not generate any on my system. Is that to be expected? $\endgroup$ – MarcoB Sep 11 '15 at 11:37