The laplace transform f(s) of a function f(x) where x>0,
It is defined by the integral:
Here is a table of common Laplace Transforms:



1 
1/s 
s>0 


s>0 
() 

s>a 
sin (ax) 

s>0 
cos(ax) 

s>0 
cosh(ax) 

s>0 


s>a 


s>0 


s>0 
x sin(ax) 

s>0 


s>a 


s>a 