Calculate the Laplace Transform of the function f(t)=1

Question

Calculate the Laplace Transform of the function f(t)=1

Answer 1

This is one of the easiest Laplace Transforms to calculate:

 

Integrate e^(-st)*f(t) from t =0 to infinity:

 

=> [-exp(-st)/s] evaluated at inf - evaluated at 0 => 0 - (-1/s) = 1/s !