DLMF:4.23.E39 (Q1791)

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DLMF:4.23.E39
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    gd ( x ) = 0 x sech t d t , Gudermannian 𝑥 superscript subscript 0 𝑥 𝑡 𝑡 {\displaystyle{\displaystyle\operatorname{gd}\left(x\right)=\int_{0}^{x}% \operatorname{sech}t\mathrm{d}t,}}
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    - < x < 𝑥 {\displaystyle{\displaystyle-\infty<x<\infty}}
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