Back  Excellent introduction to Laplace Transforms 
Assumimg Out(0)=0 and RC=1

The Laplace Transform of a function f(t) is defined as
The Laplace Transform of an integral is
The First Integration Theorem states
This can be proved using Integration by Parts
Consider the following substitutions
The expression in square brackets is zero at both limits
The theorem is proved.
You can read more about Laplace Transforms here.
Copyright © Andrew Holme, 2004. 