Laplace Transform

Inverse Laplace Transform

Given a “nice” function $f(t)$ and its Laplace transform $F(s)$, we have $f(t)=\frac{1}{2\pi j}{\int }_{\sigma -j\infty }^{\sigma +j\infty }F(s)e^{st}ds$

• where $\sigma$ is such the vertical line lies in the radius of convergence of the Laplace Transform $F(s)$