DLMF:4.26.E14 (Q1830): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(3 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
Defining formula:

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

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1amdec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
Defining formula:

{\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3amdec
Property / Symbols used
 
Property / Symbols used: Q11242 / rank
 
Normal rank
Property / Symbols used: Q11242 / qualifier
 
Defining formula:

arcsin z 𝑧 {\displaystyle{\displaystyle\operatorname{arcsin}\NVar{z}}}

\asin@@{\NVar{z}}
Property / Symbols used: Q11242 / qualifier
 
xml-id: C4.S23.SS2.p1.m5adec
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.m1hdec

Latest revision as of 18:42, 1 January 2020

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DLMF:4.26.E14
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    Statements

    arcsin x d x = x arcsin x + ( 1 - x 2 ) 1 / 2 , 𝑥 𝑥 𝑥 𝑥 superscript 1 superscript 𝑥 2 1 2 {\displaystyle{\displaystyle\int\operatorname{arcsin}x\mathrm{d}x=x% \operatorname{arcsin}x+(1-x^{2})^{1/2},}}
    0 references
    DLMF:4.26.E14
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    - 1 < x < 1 1 𝑥 1 {\displaystyle{\displaystyle-1<x<1}}
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1amdec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3amdec
    0 references
    arcsin z 𝑧 {\displaystyle{\displaystyle\operatorname{arcsin}\NVar{z}}}
    C4.S23.SS2.p1.m5adec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C4.S1.XMD6.m1hdec
    0 references