# Laplace Transform

1. Mar 25, 2009

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

2. Mar 25, 2009

### xepma

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

3. Mar 25, 2009

### ypatia

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

Thanks xepma!!