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Formula:2063

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Digital Library of Mathematical Functions ID 4.23.E39

gd ⁡ ( x ) = ∫ 0 x sech ⁡ t ⁢ d t , Gudermannian 𝑥 superscript subscript 0 𝑥 𝑡 𝑡 {\displaystyle{\displaystyle\operatorname{gd}\left(x\right)=\int_{0}^{x}% \operatorname{sech}t\mathrm{d}t,}}


Constraint(s)

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

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • sech ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{sech}\NVar{z}}} : hyperbolic secant function
  • ∫ {\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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