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ExpIntegralEi




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > ExpIntegralEi[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/06.35.21.0052.01









  


  








Input Form





Integrate[z^(\[Alpha] - 1) Log[b z] ExpIntegralEi[a z], z] == (1/\[Alpha]^3) ((z^\[Alpha] (((-a) z)^\[Alpha] HypergeometricPFQ[{\[Alpha], \[Alpha]}, {1 + \[Alpha], 1 + \[Alpha]}, a z] + \[Alpha] ((-Gamma[1 + \[Alpha]]) Log[z] + ((-a) z)^\[Alpha] ExpIntegralEi[a z] (-1 + \[Alpha] Log[b z]) + Gamma[\[Alpha], (-a) z] (-1 + \[Alpha] Log[b z]))))/((-a) z)^\[Alpha])








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