DLMF:4.40.E13 (Q1985)

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DLMF:4.40.E13
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    Statements

    Defining formula
    ∫ arctanh ⁡ x ⁢ d x = x ⁢ arctanh ⁡ x + 1 2 ⁢ ln ⁡ ( 1 - x 2 ) , hyperbolic-inverse-tangent 𝑥 𝑥 𝑥 hyperbolic-inverse-tangent 𝑥 1 2 1 superscript 𝑥 2 {\displaystyle{\displaystyle\int\operatorname{arctanh}x\mathrm{d}x=x% \operatorname{arctanh}x+\tfrac{1}{2}\ln\left(1-x^{2}\right),}}
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    DLMF id
    DLMF:4.40.E13
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