DLMF:4.40.E14 (Q1986): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: inverse hyperbolic cosecant function / rank
 
Normal rank
Property / Symbols used: inverse hyperbolic cosecant function / qualifier
 
test:

arccsch ⁡ z hyperbolic-inverse-cosecant 𝑧 {\displaystyle{\displaystyle\operatorname{arccsch}\NVar{z}}}

\acsch@@{\NVar{z}}
Property / Symbols used: inverse hyperbolic cosecant function / qualifier
 
xml-id: C4.S37.E7.m2adec

Revision as of 18:23, 1 January 2020

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DLMF:4.40.E14
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    Statements

    test
    ∫ arccsch ⁡ x ⁢ d x = x ⁢ arccsch ⁡ x + arcsinh ⁡ x , hyperbolic-inverse-cosecant 𝑥 𝑥 𝑥 hyperbolic-inverse-cosecant 𝑥 hyperbolic-inverse-sine 𝑥 {\displaystyle{\displaystyle\int\operatorname{arccsch}x\mathrm{d}x=x% \operatorname{arccsch}x+\operatorname{arcsinh}x,}}
    0 references
    DLMF id
    DLMF:4.40.E14
    0 references
    constraint
    0 < x < ∞ 0 𝑥 {\displaystyle{\displaystyle 0<x<\infty}}
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1amdec
    0 references
    inverse hyperbolic cosecant function
    test
    arccsch ⁡ z hyperbolic-inverse-cosecant 𝑧 {\displaystyle{\displaystyle\operatorname{arccsch}\NVar{z}}}
    xml-id
    C4.S37.E7.m2adec
    0 references
     
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