DLMF:4.10.E3 (Q1618): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
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.m3abdec

Revision as of 18:14, 1 January 2020

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DLMF:4.10.E3
No description defined

    Statements

    Defining formula
    ∫ z n ⁢ ln ⁡ z ⁢ d z = z n + 1 n + 1 ⁢ ln ⁡ z - z n + 1 ( n + 1 ) 2 , superscript 𝑧 𝑛 𝑧 𝑧 superscript 𝑧 𝑛 1 𝑛 1 𝑧 superscript 𝑧 𝑛 1 superscript 𝑛 1 2 {\displaystyle{\displaystyle\int z^{n}\ln z\mathrm{d}z=\frac{z^{n+1}}{n+1}\ln z% -\frac{z^{n+1}}{(n+1)^{2}},}}
    0 references
    DLMF id
    DLMF:4.10.E3
    0 references
    constraint
    n ≠ - 1 𝑛 1 {\displaystyle{\displaystyle n\neq-1}}
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1abdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3abdec
    0 references
     
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