Engineering Handbook/Mathematics/Laplace Transformation

Laplace Transform

 * $$F(s)

= \mathcal{L} \left\{f(t)\right\} =\int_{0^-}^\infty e^{-st} f(t)\,dt.$$

Inverse Laplace Transform


\mathcal{L}^{-1} \left\{F(s)\right\} = {1 \over {2\pi i}}\int_{c-i\infty}^{c+i\infty} e^{ft} F(s)\,ds = f(t)$$