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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 hyperbolic functions and a power function > Involving cosh and power





http://functions.wolfram.com/06.35.21.0047.01









  


  










Input Form





Integrate[z^n Cosh[a z] ExpIntegralEi[a z], z] == (a^(-1 - n)/2) (((-1)^n Gamma[1 + n, (-a) z] - Gamma[1 + n, a z]) ExpIntegralEi[a z] - ((-1)^n ExpIntegralEi[2 a z] n! - n! Log[z]) + (-1)^n n! Sum[Gamma[k, -2 a z]/(2^k k!), {k, 1, n}] + n! Sum[(a z)^k/(k k!), {k, 1, 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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