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Formula:2447

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Digital Library of Mathematical Functions ID 4.40.E11

∫ arcsinh ⁡ x ⁢ d x = x ⁢ arcsinh ⁡ x - ( 1 + x 2 ) 1 / 2 . hyperbolic-inverse-sine 𝑥 𝑥 𝑥 hyperbolic-inverse-sine 𝑥 superscript 1 superscript 𝑥 2 1 2 {\displaystyle{\displaystyle\int\operatorname{arcsinh}x\mathrm{d}x=x% \operatorname{arcsinh}x-(1+x^{2})^{1/2}.}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • arcsinh ⁡ z hyperbolic-inverse-sine 𝑧 {\displaystyle{\displaystyle\operatorname{arcsinh}\NVar{z}}} :
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
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This page was last edited on 28 January 2024, at 10:30.
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