DLMF:22.15.E15 (Q7110)

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DLMF:22.15.E15
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    Statements

    Defining formula
    arccd ⁡ ( x , k ) = ∫ x 1 d t ( 1 - t 2 ) ⁢ ( 1 - k 2 ⁢ t 2 ) , inverse-Jacobi-elliptic-cd 𝑥 𝑘 superscript subscript 𝑥 1 𝑡 1 superscript 𝑡 2 1 superscript 𝑘 2 superscript 𝑡 2 {\displaystyle{\displaystyle\operatorname{arccd}\left(x,k\right)=\int_{x}^{1}% \frac{\mathrm{d}t}{\sqrt{(1-t^{2})(1-k^{2}t^{2})}},}}
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    DLMF id
    DLMF:22.15.E15
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    constraint
    - 1 ≤ x ≤ 1 1 𝑥 1 {\displaystyle{\displaystyle-1\leq x\leq 1}}
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