DLMF:22.14.E3 (Q7078)

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DLMF:22.14.E3
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    Defining formula
    ∫ dn ⁡ ( x , k ) ⁢ d x = Arcsin ⁡ ( sn ⁡ ( x , k ) ) = am ⁡ ( x , k ) . Jacobi-elliptic-dn 𝑥 𝑘 𝑥 multivalued-inverse-sine Jacobi-elliptic-sn 𝑥 𝑘 Jacobi-elliptic-amplitude 𝑥 𝑘 {\displaystyle{\displaystyle\int\operatorname{dn}\left(x,k\right)\mathrm{d}x=% \operatorname{Arcsin}\left(\operatorname{sn}\left(x,k\right)\right)=% \operatorname{am}\left(x,k\right).}}
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    DLMF id
    DLMF:22.14.E3
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