DLMF:4.40.E12 (Q1984): Difference between revisions

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Property / constraint
 

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 16:04, 30 December 2019

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DLMF:4.40.E12
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    arccosh x d x = x arccosh x - ( x 2 - 1 ) 1 / 2 , hyperbolic-inverse-cosine 𝑥 𝑥 𝑥 hyperbolic-inverse-cosine 𝑥 superscript superscript 𝑥 2 1 1 2 {\displaystyle{\displaystyle\int\operatorname{arccosh}x\mathrm{d}x=x% \operatorname{arccosh}x-(x^{2}-1)^{1/2},}}
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    1 < x < 1 𝑥 {\displaystyle{\displaystyle 1<x<\infty}}
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