DLMF:1.4.E29 (Q108)

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DLMF:1.4.E29
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    Statements

    Defining formula
    ∫ a b f ⁢ ( x ) ⁢ ϕ ⁢ ( x ) ⁢ d x = f ⁢ ( c ) ⁢ ∫ a b ϕ ⁢ ( x ) ⁢ d x . subscript superscript 𝑏 𝑎 𝑓 𝑥 italic-ϕ 𝑥 𝑥 𝑓 𝑐 subscript superscript 𝑏 𝑎 italic-ϕ 𝑥 𝑥 {\displaystyle{\displaystyle\int^{b}_{a}f(x)\phi(x)\mathrm{d}x=f(c)\int^{b}_{a% }\phi(x)\mathrm{d}x.}}
    0 references
    DLMF id
    DLMF:1.4.E29
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1amdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3amdec
    0 references
    Q10774
    Defining formula
    ϕ ⁢ ( x ) italic-ϕ 𝑥 {\displaystyle{\displaystyle\phi(x)}}
    xml-id
    C1.S4.XMD7.m1adec
    0 references
     
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