Laplace transform of f(t)=t^2e^-1

Question

Please solve this question in Laplace transform of f(t)=t^2e^-1

Answer 1

What you have here is

 

f(t) = (1/e)t²

 

Apply the Laplace transform of a power.  For f(t) = tⁿ,

 

F(s) = n!/sⁿ⁺¹