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Formula:1725

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Digital Library of Mathematical Functions ID 4.10.E7

⨍ 0 x d t ln ⁡ t = li ⁡ ( x ) , superscript subscript principal-value-integral 0 𝑥 𝑡 𝑡 logarithmic-integral 𝑥 {\displaystyle{\displaystyle\pvint_{0}^{x}\frac{\mathrm{d}t}{\ln t}=\mathrm{li% }\left(x\right),}}


Constraint(s)

x > 1 𝑥 1 {\displaystyle{\displaystyle x>1}}

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • li ⁡ ( x ) logarithmic-integral 𝑥 {\displaystyle{\displaystyle\mathrm{li}\left(\NVar{x}\right)}} : logarithmic integral
  • ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}} : principal branch of logarithm function
  • ⨍ a b superscript subscript principal-value-integral 𝑎 𝑏 {\displaystyle{\displaystyle\pvint_{\NVar{a}}^{\NVar{b}}}} : Cauchy principal value
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 02:41.
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