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Formula:7806

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Digital Library of Mathematical Functions ID 22.15.E18

arcdc ⁡ ( x , k ) = ∫ 1 x d t ( t 2 - 1 ) ⁢ ( t 2 - k 2 ) , inverse-Jacobi-elliptic-dc 𝑥 𝑘 superscript subscript 1 𝑥 𝑡 superscript 𝑡 2 1 superscript 𝑡 2 superscript 𝑘 2 {\displaystyle{\displaystyle\operatorname{arcdc}\left(x,k\right)=\int_{1}^{x}% \frac{\mathrm{d}t}{\sqrt{(t^{2}-1)(t^{2}-k^{2})}},}}


Constraint(s)

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

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • arcdc ⁡ ( x , k ) inverse-Jacobi-elliptic-dc 𝑥 𝑘 {\displaystyle{\displaystyle\operatorname{arcdc}\left(\NVar{x},\NVar{k}\right)}} :
  • x 𝑥 {\displaystyle{\displaystyle x}} : real
  • k 𝑘 {\displaystyle{\displaystyle k}} : modulus
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:02.
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