DLMF:3.5.E6 (Q1244)

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DLMF:3.5.E6
No description defined

    Statements

    Defining formula
    ∫ a b f ⁢ ( x ) ⁢ d x = 1 3 ⁢ h ⁢ ( f ⁢ ( a ) + 4 ⁢ f ⁢ ( 1 2 ⁢ ( a + b ) ) + f ⁢ ( b ) ) - 1 90 ⁢ h 5 ⁢ f ( 4 ) ⁢ ( ξ ) , superscript subscript 𝑎 𝑏 𝑓 𝑥 𝑥 1 3 ℎ 𝑓 𝑎 4 𝑓 1 2 𝑎 𝑏 𝑓 𝑏 1 90 superscript ℎ 5 superscript 𝑓 4 𝜉 {\displaystyle{\displaystyle\int_{a}^{b}f(x)\mathrm{d}x=\tfrac{1}{3}h(f(a)+4f(% \tfrac{1}{2}(a+b))+f(b))-\tfrac{1}{90}h^{5}f^{(4)}(\xi),}}
    0 references
    DLMF id
    DLMF:3.5.E6
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1acdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3acdec
    0 references
     
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