Laplace transform
The Laplace transform of a function f(t) is calculated as
\[
F(s) = \int_{0}^{\infty} f(t)e^{-st}\,dt
\]
Notation:
\[
F(s) = \mathcal{L}\{f(t)\}
\]
Inverse transform:
\[
f(t) = \mathcal{L}^{-1}\{F(s)\}
\]
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