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Formula:475

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Digital Library of Mathematical Functions ID 1.14.E14

∫ 0 ∞ F s ⁢ ( x ) ⁢ G s ⁢ ( x ) ⁢ d x = ∫ 0 ∞ f ⁢ ( t ) ⁢ g ⁢ ( t ) ⁢ d t , subscript superscript 0 subscript 𝐹 𝑠 𝑥 subscript 𝐺 𝑠 𝑥 𝑥 subscript superscript 0 𝑓 𝑡 𝑔 𝑡 𝑡 {\displaystyle{\displaystyle\int^{\infty}_{0}F_{s}(x)G_{s}(x)\mathrm{d}x=\int^% {\infty}_{0}f(t)g(t)\mathrm{d}t,}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • F s ⁢ ( x ) subscript 𝐹 𝑠 𝑥 {\displaystyle{\displaystyle F_{s}(x)}} : sine transformation of f ( t )
  • G s ⁢ ( x ) subscript 𝐺 𝑠 𝑥 {\displaystyle{\displaystyle G_{s}(x)}} : sine transformation of g ( t )
  •  Edit this on Wikidata

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