DLMF:19.30.E8 (Q6683)

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DLMF:19.30.E8
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    Statements

    Defining formula
    s = 1 2 ⁢ ∫ 0 y 2 / b 2 ( a 2 + b 2 ) ⁢ t + b 2 t ⁢ ( t + 1 ) ⁢ d t . 𝑠 1 2 superscript subscript 0 superscript 𝑦 2 superscript 𝑏 2 superscript 𝑎 2 superscript 𝑏 2 𝑡 superscript 𝑏 2 𝑡 𝑡 1 𝑡 {\displaystyle{\displaystyle s=\frac{1}{2}\int_{0}^{y^{2}/b^{2}}\sqrt{\frac{(a% ^{2}+b^{2})t+b^{2}}{t(t+1)}}\mathrm{d}t.}}
    0 references
    DLMF id
    DLMF:19.30.E8
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    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1aadec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aadec
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