Calculating the Laplace Transform of a Unit Step Function

[Gowron78]

1. Determine the Laplace transform of a unit step function u(t) where:
u(t) = 1, for t >= 0
u(t) = 0, for t < 0

I've searched and searched for a solution relating to this problem but could not find anything. Completely forgot how to do an equation like this since it's been a good 3 years since I took my first calculus class. Any help would be appreciated.

 

[Mark44]

What's the definition of the Laplace transform of an arbitrary function f(t)?