the equation is given,

where f(t) = { t , 0 < t < 2 ; 0 , 2 < t }

I am having trouble getting the laplace of the function.

I believe you would getL{f(t)}==L {[1 - H(t-2)]t}

Which would beL{t}-L{t*H( t-2 )}

Which I think would be

Which Is , but this is incorrect.

The solution is

is there anyone that could help me? Thank you in advance