DLMF:22.14.E14 (Q7089)

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DLMF:22.14.E14
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    cn ( x , k ) d x sn ( x , k ) = 1 2 ln ( 1 - dn ( x , k ) 1 + dn ( x , k ) ) , Jacobi-elliptic-cn 𝑥 𝑘 𝑥 Jacobi-elliptic-sn 𝑥 𝑘 1 2 1 Jacobi-elliptic-dn 𝑥 𝑘 1 Jacobi-elliptic-dn 𝑥 𝑘 {\displaystyle{\displaystyle\int\frac{\operatorname{cn}\left(x,k\right)\mathrm% {d}x}{\operatorname{sn}\left(x,k\right)}=\frac{1}{2}\ln\left(\frac{1-% \operatorname{dn}\left(x,k\right)}{1+\operatorname{dn}\left(x,k\right)}\right)% ,}}
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