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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 products of the direct function and a power function





http://functions.wolfram.com/06.35.21.0070.01









  


  










Input Form





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