Laplace Transforms: Solving exp(-as)*(1/s+5) w/ S-Shifting

[Raybert]

To work out the laplace transform of

exp(-as)*(1/s+5)

Does convolution have to be used or can s - shifting be used. If s-shifting can be used can you please provide an example of how to use it in this case?

My first though was s-shifting but then I would get exp(-as)*(1/[(s-a)+5]) which leads me nowhere.

Thanks!

 

[timthereaper]

So you're trying to find the Laplace transform of "exp(-as)*(1/s+5)"? I only ask because s is usually used when the function is already in the Laplace domain.