DLMF:4.40.E16 (Q1988): Difference between revisions

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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.m3aodec

Revision as of 18:23, 1 January 2020

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DLMF:4.40.E16
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    Statements

    test
    ∫ arccoth ⁡ x ⁢ d x = x ⁢ arccoth ⁡ x + 1 2 ⁢ ln ⁡ ( x 2 - 1 ) , hyperbolic-inverse-cotangent 𝑥 𝑥 𝑥 hyperbolic-inverse-cotangent 𝑥 1 2 superscript 𝑥 2 1 {\displaystyle{\displaystyle\int\operatorname{arccoth}x\mathrm{d}x=x% \operatorname{arccoth}x+\tfrac{1}{2}\ln\left(x^{2}-1\right),}}
    0 references
    DLMF id
    DLMF:4.40.E16
    0 references
    constraint
    1 < x < ∞ 1 𝑥 {\displaystyle{\displaystyle 1<x<\infty}}
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aodec
    0 references
    inverse hyperbolic cotangent function
    test
    arccoth ⁡ z hyperbolic-inverse-cotangent 𝑧 {\displaystyle{\displaystyle\operatorname{arccoth}\NVar{z}}}
    xml-id
    C4.S37.E9.m2adec
    0 references
    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aodec
    0 references
     
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