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DLMF:4.10.E5 - MaRDI portal

DLMF:4.10.E5 (Q1721)

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DLMF:4.10.E5
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    0 1 ln t 1 - t d t = - π 2 6 , superscript subscript 0 1 𝑡 1 𝑡 𝑡 superscript 𝜋 2 6 {\displaystyle{\displaystyle\int_{0}^{1}\frac{\ln t}{1-t}\mathrm{d}t=-\frac{% \pi^{2}}{6},}}
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2adec
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1addec
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    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3addec
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    ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    C4.S2.E2.m2addec
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