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ExpIntegralEi






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > ExpIntegralEi[z] > Integration > Indefinite integration > Involving functions of the direct function and elementary functions > Involving elementary functions of the direct function and elementary functions > Involving powers of the direct function and a power function





http://functions.wolfram.com/06.35.21.0062.01









  


  










Input Form





Integrate[z^3 ExpIntegralEi[a z]^2, z] == (1/(4 a^4)) (E^(2 a z) (8 - 4 a z + a^2 z^2) - 2 E^(a z) (-6 + 6 a z - 3 a^2 z^2 + a^3 z^3) ExpIntegralEi[a z] + a^4 z^4 ExpIntegralEi[a z]^2 - 12 ExpIntegralEi[2 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