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Laplace Transform

  1. Mar 25, 2009 #1
    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

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



    2. Relevant equations



    3. The attempt at a solution

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

    Thanks in advance!
     
  2. jcsd
  3. Mar 25, 2009 #2
    Yes, that is correct. As a first step ofcourse ;)
     
  4. Mar 25, 2009 #3
    What do you mean as a first step??
    Then I will calculate the two integrals. Is it Ok??

    Thanks xepma!!
     
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