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

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Changed an Item: Add constraint
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
Defining formula:

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

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1amdec

Revision as of 19:23, 1 January 2020

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DLMF:4.40.E14
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    Statements

    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,}}
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    DLMF:4.40.E14
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    0 < x < 0 𝑥 {\displaystyle{\displaystyle 0<x<\infty}}
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1amdec
    0 references