Question: Student solution of Laplace Integral

I want to solve a Laplace integral transform step-by-step its as follows:

 

f(t):=e^at

IntTutor(Int(e^-st f(t),t=0..infinity)

 

but it says that the expression can't be integrated, and secondly it does not work with 'infinity'. How I can solve this for step-by-step solution?

Thanxs

 

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