DLMF:4.40.E16 (Q1988): Difference between revisions

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1 < x < 1 𝑥 {\displaystyle{\displaystyle 1<x<\infty}}

1<x<\infty
Property / constraint: 1 < x < 1 𝑥 {\displaystyle{\displaystyle 1<x<\infty}} / rank
 
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Revision as of 17:04, 30 December 2019

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DLMF:4.40.E16
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    Statements

    arccoth x d x = x arccoth x + 1 2 ln ( x 2 - 1 ) , hyperbolic-inverse-cotangent 𝑥 𝑥 𝑥 hyperbolic-inverse-cotangent 𝑥 1 2 superscript 𝑥 2 1 {\displaystyle{\displaystyle\int\operatorname{arccoth}x\mathrm{d}x=x% \operatorname{arccoth}x+\tfrac{1}{2}\ln\left(x^{2}-1\right),}}
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    DLMF:4.40.E16
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    1 < x < 1 𝑥 {\displaystyle{\displaystyle 1<x<\infty}}
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