Laplace Transform

[ypatia]

1. The problem statement, all variables and given/known data

I'm a little a bit confused about the following exercise because of the two segments of the function. How can we find the Laplace transform of this function

f(t) = \begin {cases} t , 0\le t < 4 \\
5 , t\ge 4\end {cases}



2. Relevant equations



3. The attempt at a solution

Is this right??
F(s) = \int_0^{\infty}e^{ - st}f(t)dt
= \int_0^{4}e^{ - st}\cdot{t}\,dt + \int_{4}^{\infty}e^{ - st}\cdot{5}\,dt

Thanks in advance!

[xepma]

Yes, that is correct. As a first step ofcourse ;)

[ypatia]

Yes, that is correct. As a first step ofcourse ;)

What do you mean as a first step??
Then I will calculate the two integrals. Is it Ok??

Thanks xepma!!