DLMF:3.5.E5 (Q1243)

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DLMF:3.5.E5
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    Statements

    Defining formula
    ∫ - ∞ ∞ f ⁢ ( t ) ⁢ d t = h ⁢ ∑ k = - ∞ ∞ f ⁢ ( k ⁢ h ) + E h ⁢ ( f ) , superscript subscript 𝑓 𝑡 𝑡 ℎ superscript subscript 𝑘 𝑓 𝑘 ℎ subscript 𝐸 ℎ 𝑓 {\displaystyle{\displaystyle\int_{-\infty}^{\infty}f(t)\mathrm{d}t=h\sum_{k=-% \infty}^{\infty}f(kh)+E_{h}(f),}}
    0 references
    DLMF id
    DLMF:3.5.E5
    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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