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 |
(
) 
