# Inverse Laplace Transform

Given a “nice” function $f(t)$ and its Laplace transform $F(s)$, we have $f(t)=2πj1 ∫_{σ−j∞}F(s)e_{st}ds$

- where $σ$ is such the vertical line lies in the radius of convergence of the Laplace Transform $F(s)$

Given a “nice” function $f(t)$ and its Laplace transform $F(s)$, we have $f(t)=2πj1 ∫_{σ−j∞}F(s)e_{st}ds$

- where $σ$ is such the vertical line lies in the radius of convergence of the Laplace Transform $F(s)$