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

From testwiki
Jump to navigation Jump to search
imported>Admin
imported>Admin
 
(2 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q11247 / rank
 
Normal rank
Property / Symbols used: Q11247 / qualifier
 
test:

arcsinh z hyperbolic-inverse-sine 𝑧 {\displaystyle{\displaystyle\operatorname{arcsinh}\NVar{z}}}

\asinh@@{\NVar{z}}
Property / Symbols used: Q11247 / qualifier
 
xml-id: C4.S37.SS2.p1.m8aadec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
test:

{\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3amdec
Property / Symbols used
 
Property / Symbols used: Q11218 / rank
 
Normal rank
Property / Symbols used: Q11218 / qualifier
 
test:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11218 / qualifier
 
xml-id: C4.S1.XMD6.m1mdec

Latest revision as of 18:23, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:4.40.E14
No description defined

    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,}}
    0 references
    0 references
    0 < x < 0 𝑥 {\displaystyle{\displaystyle 0<x<\infty}}
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1amdec
    0 references
    arccsch z hyperbolic-inverse-cosecant 𝑧 {\displaystyle{\displaystyle\operatorname{arccsch}\NVar{z}}}
    C4.S37.E7.m2adec
    0 references
    arcsinh z hyperbolic-inverse-sine 𝑧 {\displaystyle{\displaystyle\operatorname{arcsinh}\NVar{z}}}
    C4.S37.SS2.p1.m8aadec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3amdec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C4.S1.XMD6.m1mdec
    0 references