Inverse Laplace Transform
From ControlTheoryPro.com

1 Inverse Laplace transform
The inverse Laplace transform is given by the following complex integral, which is known by various names (the Bromwich integral, the FourierMellin integral, and Mellin's inverse formula):
where
 is a real number so that the contour path of integration is in the region of convergence of normally requiring for every singularity of and .
If all singularities are in the left halfplane, that is for every , then can be set to zero and the above inverse integral formula becomes identical to the inverse Fourier transform.