Formula:487

Digital Library of Mathematical Functions ID 1.14.E26

${\displaystyle{\displaystyle\mathscr{L}\mskip-3.0mu f\mskip 3.0mu \left(s\right)=\frac{1}{1+e^{-as}}\int^{a}_{0}e^{-st}f(t)\mathrm{d}t.}}$

Symbols List

• ${\displaystyle{\displaystyle\mathscr{L}\left(\NVar{f}\right)\left(\NVar{s}\right)}}$: Laplace transform
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\int}}$: integral
 

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