DLMF:4.23.E41 (Q1793)

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DLMF:4.23.E41
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    Statements

    Defining formula
    gd - 1 ⁡ ( x ) = ∫ 0 x sec ⁡ t ⁢ d t , inverse-Gudermannian 𝑥 superscript subscript 0 𝑥 𝑡 𝑡 {\displaystyle{\displaystyle{\operatorname{gd}^{-1}}\left(x\right)=\int_{0}^{x% }\sec t\mathrm{d}t,}}
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    DLMF id
    DLMF:4.23.E41
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    constraint
    - 1 2 ⁢ π < x < 1 2 ⁢ π 1 2 𝜋 𝑥 1 2 𝜋 {\displaystyle{\displaystyle-\frac{1}{2}\pi<x<\frac{1}{2}\pi}}
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