DLMF:4.26.E19 (Q1835): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11218 / rank
 
Normal rank
Property / Symbols used: Q11218 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

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

Latest revision as of 18:43, 1 January 2020

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DLMF:4.26.E19
No description defined

    Statements

    Defining formula
    ∫ arccot ⁡ x ⁢ d x = x ⁢ arccot ⁡ x + 1 2 ⁢ ln ⁡ ( 1 + x 2 ) , 𝑥 𝑥 𝑥 𝑥 1 2 1 superscript 𝑥 2 {\displaystyle{\displaystyle\int\operatorname{arccot}x\mathrm{d}x=x% \operatorname{arccot}x+\tfrac{1}{2}\ln\left(1+x^{2}\right),}}
    0 references
    DLMF id
    DLMF:4.26.E19
    0 references
    constraint
    0 < x < ∞ 0 𝑥 {\displaystyle{\displaystyle 0<x<\infty}}
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1ardec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3ardec
    0 references
    arccotangent function
    Defining formula
    arccot ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arccot}\NVar{z}}}
    xml-id
    C4.S23.E9.m2adec
    0 references
    principal branch of logarithm function
    Defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2afdec
    0 references
    Q11218
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C4.S1.XMD6.m1mdec
    0 references
     
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