DLMF:4.10.E12 (Q1627): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
test:

{\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3ajdec

Revision as of 17:15, 1 January 2020

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DLMF:4.10.E12
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    Statements

    0 ln 2 x e x e x - 1 d x = π 2 12 , superscript subscript 0 2 𝑥 superscript 𝑒 𝑥 superscript 𝑒 𝑥 1 𝑥 superscript 𝜋 2 12 {\displaystyle{\displaystyle\int_{0}^{\ln 2}\frac{xe^{x}}{e^{x}-1}\mathrm{d}x=% \frac{\pi^{2}}{12},}}
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2acdec
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1akdec
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    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2addec
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    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3ajdec
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