# Inverse Laplace Transform Problem

I'm not able to compute the inverse Laplace transform of X:

X = 0.5/((1 + E^(5 s)) (3 + 8 s + 10 s^2 + 6 s^3 + s^4));
InverseLaplaceTransform[X, s, t]
(*
Out[47]=0.5 InverseLaplaceTransform[ 1/((1 + E^(5 s)) (3 + 8 s + 10 s^2 + 6 s^3 + s^4)), s, t]
*)

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Many arbitrary formed functions will return unevaluated (try for example InverseLaplaceTransform[Gamma[s], s, t]). Do you have a reason why Mathematica should be able to evaluate your transform? –  belisarius Dec 19 '13 at 16:47