DLMF:22.14.E4 (Q7079): Difference between revisions

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DLMF:22.14.E4
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    Statements

    Defining formula
    ∫ cd ⁡ ( x , k ) ⁢ d x = k - 1 ⁢ ln ⁡ ( nd ⁡ ( x , k ) + k ⁢ sd ⁡ ( x , k ) ) , Jacobi-elliptic-cd 𝑥 𝑘 𝑥 superscript 𝑘 1 Jacobi-elliptic-nd 𝑥 𝑘 𝑘 Jacobi-elliptic-sd 𝑥 𝑘 {\displaystyle{\displaystyle\int\operatorname{cd}\left(x,k\right)\mathrm{d}x=k% ^{-1}\ln\left(\operatorname{nd}\left(x,k\right)+k\operatorname{sd}\left(x,k% \right)\right),}}
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    DLMF:22.14.E4
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