# Prove that the Laplace trasform is a Linear trasformation

Could you help me prove that the Laplace Trasform is a Linear trasformation?

Thank you.

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Where do you struggle, what have you tried? –  DanZimm Jun 16 '14 at 4:26
Isn't this a pretty standard question. I mean a simple search or any textbook would give the answer. And of course as @DanZimm says, what did you do? –  tpb261 Jun 16 '14 at 4:37

Hint: $$\int_X \alpha f + \beta g \, \mathrm{d} \mu = \alpha \int_X f \, \mathrm{d} \mu + \beta \int_X g \, \mathrm{d} \mu$$