Laplace Transform of f(t): Find Solutions

[bengaltiger14]

Homework Statement

Find the Laplace Transform of: f(t) = {t, 0<t<1
2, 1<t<2
t^2, 2<=t<=3 }

For the first case (t), I get 1/(s^2) for the eqn. t^n = n!/s^(n+1)

For the second case (2), I get 2/s

For the third case (t^2), I get 2/s^3

Do these look ok? The given range kinda threw me off so I was not sure If I did them correctly.

 

[bengaltiger14]

Disregard that, I approached it entirely wrong. Sorry