DLMF:3.5.E1 (Q1239)

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DLMF:3.5.E1
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    Statements

    Defining formula
    ∫ a b f ⁢ ( x ) ⁢ d x = 1 2 ⁢ h ⁢ ( f ⁢ ( a ) + f ⁢ ( b ) ) - 1 12 ⁢ h 3 ⁢ f ′′ ⁢ ( ξ ) , superscript subscript 𝑎 𝑏 𝑓 𝑥 𝑥 1 2 ℎ 𝑓 𝑎 𝑓 𝑏 1 12 superscript ℎ 3 superscript 𝑓 ′′ 𝜉 {\displaystyle{\displaystyle\int_{a}^{b}f(x)\mathrm{d}x=\tfrac{1}{2}h(f(a)+f(b% ))-\tfrac{1}{12}h^{3}f^{\prime\prime}(\xi),}}
    0 references
    DLMF id
    DLMF:3.5.E1
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
     
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