DLMF:4.26.E21 (Q1837): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

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

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1atdec

Revision as of 17:43, 1 January 2020

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DLMF:4.26.E21
No description defined

    Statements

    test
    ∫ x ⁢ arccos ⁡ x ⁢ d x = ( x 2 2 - 1 4 ) ⁢ arccos ⁡ x - x 4 ⁢ ( 1 - x 2 ) 1 / 2 , 𝑥 𝑥 𝑥 superscript 𝑥 2 2 1 4 𝑥 𝑥 4 superscript 1 superscript 𝑥 2 1 2 {\displaystyle{\displaystyle\int x\operatorname{arccos}x\mathrm{d}x=\left(% \frac{x^{2}}{2}-\frac{1}{4}\right)\operatorname{arccos}x-\frac{x}{4}(1-x^{2})^% {1/2},}}
    0 references
    DLMF id
    DLMF:4.26.E21
    0 references
    constraint
    - 1 < x < 1 1 𝑥 1 {\displaystyle{\displaystyle-1<x<1}}
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1atdec
    0 references
     
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