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Formula:485

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Digital Library of Mathematical Functions ID 1.14.E24

∫ s ∞ ℒ ⁡ f ⁡ ( u ) ⁢ d u = ℒ ⁡ f - 1 ⁡ ( s ) , subscript superscript 𝑠 Laplace-transform 𝑓 𝑢 𝑢 Laplace-transform subscript 𝑓 1 𝑠 {\displaystyle{\displaystyle\int^{\infty}_{s}\mathscr{L}\mskip-3.0mu f\mskip 3% .0mu \left(u\right)\mathrm{d}u=\mathscr{L}\mskip-3.0mu f_{-1}\mskip 3.0mu % \left(s\right),}}


Constraint(s)

Symbols List

  • ℒ ⁡ ( f ) ⁡ ( s ) Laplace-transform 𝑓 𝑠 {\displaystyle{\displaystyle\mathscr{L}\left(\NVar{f}\right)\left(\NVar{s}% \right)}} : Laplace transform
  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
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