Trouble Finding an Inverse LaPlace Transform

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opticaltempest
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I am trying to find the inverse LaPlace transform of

[tex]F(s)=\frac{2s+12}{s^2+6s+2\sqrt{2}}[/tex]

Using partial fraction decomposition on the above rational expression seems tedious. Is there any other method?

Thanks
 
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You can look up the inverse transform in a table like
http://www.vibrationdata.com/Laplace.htm"
See lines 2.25-2.27
 
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