Where do I begin with Laplace for deriving L(f) from L(1)?

[asdf1]

for the following question:
let f(t)=t^2. derive L(f) from L(1)

my problem:
i have no clue where to start...

 

[marlon]

You need to apply the "frequency division" rule :

$${ \cal L} \{ tf(t) \} = (-1) F^{'}(s)$$

$${ \cal L} \{ t^nf(t) \} = (-1)^n F^{(n)}(s)$$

where

$${ \cal L} \{ f(t) \} = F(s)$$

and in this case

$$f(t) = 1$$

marlon

edit : all rules can be found here

 

[asdf1]

wow! thank you very much!