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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 exponential function and a power function > Involving exp and power > Linear arguments





http://functions.wolfram.com/06.35.21.0020.01









  


  










Input Form





Integrate[z^3 E^(b z) ExpIntegralEi[a z], z] == (1/b^4) (E^(b z) (-6 + 6 b z - 3 b^2 z^2 + b^3 z^3) ExpIntegralEi[a z] + (1/(a + b)^3) ((-b) E^((a + b) z) (b^2 (11 - 5 b z + b^2 z^2) + a^2 (6 - 3 b z + b^2 z^2) + a b (15 - 8 b z + 2 b^2 z^2)) + 6 (a + b)^3 ExpIntegralEi[(a + b) 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





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