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Formula:2453

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Digital Library of Mathematical Functions ID 4.40.E14

∫ arccsch ⁡ x ⁢ d x = x ⁢ arccsch ⁡ x + arcsinh ⁡ x , hyperbolic-inverse-cosecant 𝑥 𝑥 𝑥 hyperbolic-inverse-cosecant 𝑥 hyperbolic-inverse-sine 𝑥 {\displaystyle{\displaystyle\int\operatorname{arccsch}x\mathrm{d}x=x% \operatorname{arccsch}x+\operatorname{arcsinh}x,}}


Constraint(s)

0 < x < ∞ 0 𝑥 {\displaystyle{\displaystyle 0<x<\infty}}

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • arccsch ⁡ z hyperbolic-inverse-cosecant 𝑧 {\displaystyle{\displaystyle\operatorname{arccsch}\NVar{z}}} : inverse hyperbolic cosecant function
  • arcsinh ⁡ z hyperbolic-inverse-sine 𝑧 {\displaystyle{\displaystyle\operatorname{arcsinh}\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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