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Formula:2449

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Digital Library of Mathematical Functions ID 4.40.E12

∫ arccosh ⁡ x ⁢ d x = x ⁢ arccosh ⁡ x - ( x 2 - 1 ) 1 / 2 , hyperbolic-inverse-cosine 𝑥 𝑥 𝑥 hyperbolic-inverse-cosine 𝑥 superscript superscript 𝑥 2 1 1 2 {\displaystyle{\displaystyle\int\operatorname{arccosh}x\mathrm{d}x=x% \operatorname{arccosh}x-(x^{2}-1)^{1/2},}}


Constraint(s)

1 < x < ∞ 1 𝑥 {\displaystyle{\displaystyle 1<x<\infty}}

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • arccosh ⁡ z hyperbolic-inverse-cosine 𝑧 {\displaystyle{\displaystyle\operatorname{arccosh}\NVar{z}}} :
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  •  Edit this on Wikidata

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