# Laplace Transform

#### ypatia

1. Homework Statement

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. Homework Equations

3. The Attempt at a Solution

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

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#### 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!!

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