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LogIntegral




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > LogIntegral[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving logarithm and a power function > Involving log and power





http://functions.wolfram.com/06.36.21.0010.01









  


  








Input Form





Integrate[z^3 Log[b z] LogIntegral[a z], z] == (1/(80 a^4)) (5 ExpIntegralEi[5 Log[a z]] (1 + 4 Log[a z] - 4 Log[b z]) + a^4 z^4 (-4 a z + 5 (-1 + 4 Log[b z]) LogIntegral[a z]))








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29