DLMF:22.15.E23 (Q7118)

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DLMF:22.15.E23
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    Statements

    test
    arccs ⁡ ( x , k ) = ∫ x ∞ d t ( 1 + t 2 ) ⁢ ( t 2 + k ′ 2 ) , inverse-Jacobi-elliptic-cs 𝑥 𝑘 superscript subscript 𝑥 𝑡 1 superscript 𝑡 2 superscript 𝑡 2 superscript superscript 𝑘 ′ 2 {\displaystyle{\displaystyle\operatorname{arccs}\left(x,k\right)=\int_{x}^{% \infty}\frac{\mathrm{d}t}{\sqrt{(1+t^{2})(t^{2}+{k^{\prime}}^{2})}},}}
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    DLMF id
    DLMF:22.15.E23
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    constraint
    - ∞ < x < ∞ 𝑥 {\displaystyle{\displaystyle-\infty<x<\infty}}
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