DLMF:1.4.E18 (Q97): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10763 / rank
 
Normal rank
Property / Symbols used: Q10763 / qualifier
 
Defining formula:

j 𝑗 {\displaystyle{\displaystyle j}}

j
Property / Symbols used: Q10763 / qualifier
 
xml-id: C1.S1.XMD3.m1dec

Revision as of 15:50, 1 January 2020

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DLMF:1.4.E18
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    Statements

    a b f ( x ) d x = lim j = 0 n - 1 f ( ξ j ) ( x j + 1 - x j ) subscript superscript 𝑏 𝑎 𝑓 𝑥 𝑥 subscript superscript 𝑛 1 𝑗 0 𝑓 subscript 𝜉 𝑗 subscript 𝑥 𝑗 1 subscript 𝑥 𝑗 {\displaystyle{\displaystyle\int^{b}_{a}f(x)\mathrm{d}x=\lim\sum^{n-1}_{j=0}f(% \xi_{j})(x_{j+1}-x_{j})}}
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    DLMF:1.4.E18
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1abdec
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    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3abdec
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    j 𝑗 {\displaystyle{\displaystyle j}}
    C1.S1.XMD3.m1dec
    0 references