Ok I want Laplace of e(x)/x and e(x)*x^(1/2)

I tried to solve for the integral of e(-sx)*e(x)/x but after 15 min of trying I said darn it and I went on integrals.com

Now, what the site gives for e(x-sx)/x integral is Ei(x-sx) !!!!!!! LOL and they say it's''exponential integral Ei''.

I don't know what the F that is and I don't want to know either. There has to be a way to obtain the Laplace of these functions lol.

Plox HALP!