DLMF:10.71.E6 (Q3907)

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DLMF:10.71.E6
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    Statements

    test
    ∫ x ⁢ f ν ⁢ g ν ⁢ d x = 1 4 ⁢ x 2 ⁢ ( 2 ⁢ f ν ⁢ g ν - f ν - 1 ⁢ g ν + 1 - f ν + 1 ⁢ g ν - 1 ) , 𝑥 subscript 𝑓 𝜈 subscript 𝑔 𝜈 𝑥 1 4 superscript 𝑥 2 2 subscript 𝑓 𝜈 subscript 𝑔 𝜈 subscript 𝑓 𝜈 1 subscript 𝑔 𝜈 1 subscript 𝑓 𝜈 1 subscript 𝑔 𝜈 1 {\displaystyle{\displaystyle\int xf_{\nu}g_{\nu}\mathrm{d}x=\tfrac{1}{4}x^{2}% \left(2f_{\nu}g_{\nu}-f_{\nu-1}g_{\nu+1}-f_{\nu+1}g_{\nu-1}\right),}}
    0 references
    DLMF id
    DLMF:10.71.E6
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aedec
    0 references
     
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