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Formula:3613

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Digital Library of Mathematical Functions ID 9.11.E8

∫ z ⁢ w 1 ⁢ w 2 ⁢ d z = 1 6 ⁢ ( w 1 ⁢ w 2 ′ + w 1 ′ ⁢ w 2 ) - 1 3 ⁢ ( z ⁢ w 1 ′ ⁢ w 2 ′ - z 2 ⁢ w 1 ⁢ w 2 ) , 𝑧 subscript 𝑤 1 subscript 𝑤 2 𝑧 1 6 subscript 𝑤 1 subscript superscript 𝑤 ′ 2 subscript superscript 𝑤 ′ 1 subscript 𝑤 2 1 3 𝑧 subscript superscript 𝑤 ′ 1 subscript superscript 𝑤 ′ 2 superscript 𝑧 2 subscript 𝑤 1 subscript 𝑤 2 {\displaystyle{\displaystyle\int zw_{1}w_{2}\mathrm{d}z=\tfrac{1}{6}(w_{1}w^{% \prime}_{2}+w^{\prime}_{1}w_{2})-\tfrac{1}{3}(zw^{\prime}_{1}w^{\prime}_{2}-z^% {2}w_{1}w_{2}),}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • w 𝑤 {\displaystyle{\displaystyle w}} : function
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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