DLMF:22.14.E9 (Q7084)

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DLMF:22.14.E9
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    test
    ∫ sc ⁡ ( x , k ) ⁢ d x = k ′ - 1 ⁢ ln ⁡ ( dc ⁡ ( x , k ) + k ′ ⁢ nc ⁡ ( x , k ) ) . Jacobi-elliptic-sc 𝑥 𝑘 𝑥 superscript superscript 𝑘 ′ 1 Jacobi-elliptic-dc 𝑥 𝑘 superscript 𝑘 ′ Jacobi-elliptic-nc 𝑥 𝑘 {\displaystyle{\displaystyle\int\operatorname{sc}\left(x,k\right)\mathrm{d}x={% k^{\prime}}^{-1}\ln\left(\operatorname{dc}\left(x,k\right)+k^{\prime}% \operatorname{nc}\left(x,k\right)\right).}}
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    DLMF id
    DLMF:22.14.E9
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