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

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Property / constraint
 

b > 0 𝑏 0 {\displaystyle{\displaystyle b>0}}

b>0
Property / constraint: b > 0 𝑏 0 {\displaystyle{\displaystyle b>0}} / rank
 
Normal rank

Revision as of 16:04, 30 December 2019

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DLMF:4.40.E10
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    Statements

    0 tanh ( a x ) - tanh ( b x ) x d x = ln ( a b ) , superscript subscript 0 𝑎 𝑥 𝑏 𝑥 𝑥 𝑥 𝑎 𝑏 {\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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    b > 0 𝑏 0 {\displaystyle{\displaystyle b>0}}
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