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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/06.35.21.0016.01









  


  










Input Form





Integrate[z^n E^(b z) ExpIntegralEi[a z], z] == ((1/b) ((-n!) ExpIntegralEi[(a + b) z] + ExpIntegralEi[a z] Gamma[1 + n, (-b) z] + n! Sum[(b^k Gamma[k, (-(a + b)) z])/ ((a + b)^k k!), {k, 1, n}]))/(-b)^n /; Element[n, Integers] && n >= 0










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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