DLMF:4.40.E10 (Q1982): Difference between revisions

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Latest revision as of 19:22, 1 January 2020

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Language	Label	Description	Also known as
English	DLMF:4.40.E10	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{\int_{0}^{\infty}\frac{\tanh\left(ax\right)-\tanh% \left(bx\right)}{x}\mathrm{d}x=\ln\left(\frac{a}{b}\right)},}}

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DLMF:4.40.E10

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{\displaystyle{\displaystyle b>0}}

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Defining formula

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

C1.S4.SS4.m1aidec

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hyperbolic tangent function

Defining formula

{\displaystyle{\displaystyle\tanh\NVar{z}}}

C4.S28.E4.m2abdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aidec

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principal branch of logarithm function

Defining formula

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

C4.S2.E2.m2acdec

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Defining formula

{\displaystyle{\displaystyle a}}

C4.S1.XMD4.m1cdec

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Defining formula

{\displaystyle{\displaystyle x}}

C4.S1.XMD6.m1idec

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Sitelinks

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