DLMF:4.26.E5 (Q1821): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1addec

Revision as of 17:40, 1 January 2020

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DLMF:4.26.E5
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    Statements

    sec x d x = gd - 1 ( x ) , 𝑥 𝑥 inverse-Gudermannian 𝑥 {\displaystyle{\displaystyle\int\sec x\mathrm{d}x={\operatorname{gd}^{-1}}% \left(x\right),}}
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    - 1 2 π < x < 1 2 π 1 2 𝜋 𝑥 1 2 𝜋 {\displaystyle{\displaystyle-\frac{1}{2}\pi<x<\frac{1}{2}\pi}}
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2abdec
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1addec
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