Laplace transform using properties

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phlstr
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Homework Statement


Find the laplace transform of
f(t)=(t-5)e[itex]^{-17(t-5)}[/itex]u(t-5)

The Attempt at a Solution



The answer I got was [itex]\frac{e[itex]^{-5(s+17)}[/itex]}{(s+17)^{2}}[/itex].
I thought I finally understood the process, but when I plugged it into wolfram alpha, the answer I got was different...

http://www.wolframalpha.com/input/?i=laplace+transform+of+((t-5)e^(-17(t-5)))*theta(t-5)

Shouldn't the "s" in the exponent be "s+17" or is my understanding really wrong??
 
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Wolfram Alpha's answer is the correct one.