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Formula:2325

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Digital Library of Mathematical Functions ID 4.37.E3

Arctanh ⁡ z = ∫ 0 z d t 1 - t 2 , multivalued-hyperbolic-inverse-tangent 𝑧 superscript subscript 0 𝑧 𝑡 1 superscript 𝑡 2 {\displaystyle{\displaystyle\operatorname{Arctanh}z=\int_{0}^{z}\frac{\mathrm{% d}t}{1-t^{2}},}}


Constraint(s)

z ≠ ± 1 𝑧 plus-or-minus 1 {\displaystyle{\displaystyle z\neq\pm 1}}

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
  •  Edit this on Wikidata

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