Laplace transform of piecewise function?

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  1. Lewk's Avatar
    • Peer Of The TSR Realm
    • Posts: 1,533
    Laplace transform of piecewise function?
    so...

    

$$

u(t) = \begin{cases}

0, & t<0 \\

1, & t \ge 0

\end{cases}

$$

    What is the Laplace transform of u(\pi-t) ?

    I did: L(u)= \int_{-\infty}^{-\pi} e^{-st} dt = [\frac{e^{-st}}{-s}]_{-\infty}^{-\pi}

    Which gives me infinity as the answer so can't be right :/

    Any help would be appreciated! (may want to use my latex command as a template, it took me a while to find how to do the integral...)
    Last edited by Lewk; 23-05-2012 at 13:59.
  2. DFranklin's Avatar
    • TSR Royalty
    • Location: London
    • Posts: 18,049
    Re: Laplace transform of piecewise function?
    What is your definition of the Laplace Transform?
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