DLMF:19.30.E2 (Q6675)

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DLMF:19.30.E2
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    Statements

    Defining formula
    s = a ⁢ ∫ 0 ϕ 1 - k 2 ⁢ sin 2 ⁡ θ ⁢ d θ . 𝑠 𝑎 superscript subscript 0 italic-ϕ 1 superscript 𝑘 2 2 𝜃 𝜃 {\displaystyle{\displaystyle s=a\int_{0}^{\phi}\sqrt{1-k^{2}{\sin^{2}}\theta}% \mathrm{d}\theta.}}
    0 references
    DLMF id
    DLMF:19.30.E2
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3adec
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    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2aadec
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    Q11807
    Defining formula
    ϕ italic-ϕ {\displaystyle{\displaystyle\phi}}
    xml-id
    C19.S1.XMD4.m1adec
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    Q11808
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C19.S1.XMD5.m1dec
    0 references
    Q11915
    Defining formula
    s 𝑠 {\displaystyle{\displaystyle s}}
    xml-id
    C19.S30.XMD1.m1dec
    0 references
     
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