DLMF:4.26.E15 (Q1831): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11208 / rank
 
Normal rank
Property / Symbols used: Q11208 / qualifier
 
Defining formula:

arccos ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arccos}\NVar{z}}}

\acos@@{\NVar{z}}
Property / Symbols used: Q11208 / qualifier
 
xml-id: C4.S23.SS2.p1.m6adec

Revision as of 18:42, 1 January 2020

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DLMF:4.26.E15
No description defined

    Statements

    Defining formula
    ∫ arccos ⁡ x ⁢ d x = x ⁢ arccos ⁡ x - ( 1 - x 2 ) 1 / 2 , 𝑥 𝑥 𝑥 𝑥 superscript 1 superscript 𝑥 2 1 2 {\displaystyle{\displaystyle\int\operatorname{arccos}x\mathrm{d}x=x% \operatorname{arccos}x-(1-x^{2})^{1/2},}}
    0 references
    DLMF id
    DLMF:4.26.E15
    0 references
    constraint
    - 1 < x < 1 1 𝑥 1 {\displaystyle{\displaystyle-1<x<1}}
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1andec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3andec
    0 references
    Q11208
    Defining formula
    arccos ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arccos}\NVar{z}}}
    xml-id
    C4.S23.SS2.p1.m6adec
    0 references
     
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