DLMF:3.5.E7 (Q1245)

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DLMF:3.5.E7
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    Statements

    Defining formula
    ∫ a b f ⁢ ( x ) ⁢ d x = 1 3 ⁢ h ⁢ ( f 0 + 4 ⁢ f 1 + 2 ⁢ f 2 + 4 ⁢ f 3 + 2 ⁢ f 4 + ⋯ + 4 ⁢ f n - 1 + f n ) + E n ⁢ ( f ) , superscript subscript 𝑎 𝑏 𝑓 𝑥 𝑥 1 3 ℎ subscript 𝑓 0 4 subscript 𝑓 1 2 subscript 𝑓 2 4 subscript 𝑓 3 2 subscript 𝑓 4 ⋯ 4 subscript 𝑓 𝑛 1 subscript 𝑓 𝑛 subscript 𝐸 𝑛 𝑓 {\displaystyle{\displaystyle\int_{a}^{b}f(x)\mathrm{d}x=\tfrac{1}{3}h(f_{0}+4f% _{1}+2f_{2}+4f_{3}+2f_{4}+\cdots+4f_{n-1}+f_{n})+E_{n}(f),}}
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    DLMF id
    DLMF:3.5.E7
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