DLMF:4.40.E13 (Q1985)

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Language	Label	Description	Also known as
English	DLMF:4.40.E13	No description defined

Statements

Defining formula

{\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:4.40.E13

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{\displaystyle{\displaystyle-1<x<1}}

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1aldec

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Defining formula

{\displaystyle{\displaystyle\operatorname{arctanh}\NVar{z}}}

C4.S37.SS2.p1.m10adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aldec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2addec

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Sitelinks

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