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3.5.E2 - MaRDI portal

3.5.E2 (Q1211)

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3.5.E2
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    Statements

    DLMF defining formula
    ∫ a b f ⁢ ( x ) ⁢ d x = h ⁢ ( 1 2 ⁢ f 0 + f 1 + … + f n - 1 + 1 2 ⁢ f n ) + E n ⁢ ( f ) , superscript subscript 𝑎 𝑏 𝑓 𝑥 𝑥 ℎ 1 2 subscript 𝑓 0 subscript 𝑓 1 … subscript 𝑓 𝑛 1 1 2 subscript 𝑓 𝑛 subscript 𝐸 𝑛 𝑓 {\displaystyle{\displaystyle\displaystyle\int_{a}^{b}f(x)\mathrm{d}x=h(\tfrac{% 1}{2}f_{0}+f_{1}+\dots+f_{n-1}+\tfrac{1}{2}f_{n})+E_{n}(f),}}
    0 references
    Symbols used
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aadec
    0 references
    integral
    DLMF defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aadec
    0 references
    error term (locally)
    DLMF defining formula
    E n ⁢ ( f ) subscript 𝐸 𝑛 𝑓 {\displaystyle{\displaystyle E_{n}(f)}}
    xml-id
    C3.S5.XMD1.m1dec
    0 references

    Identifiers

     
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