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Exp






Mathematica Notation

Traditional Notation









Elementary Functions > Exp[z] > Integration > Indefinite integration > Involving functions of the direct function and a power function > Involving products of the direct function and a power function > Involving products of two direct functions and a power function > Involving zalpha-1ab zrhc zr+g





http://functions.wolfram.com/01.03.21.0586.01









  


  










Input Form





Integrate[z^n a^(b Sqrt[z]) h^(c Sqrt[z] + g), z] == (-2 h^g (-(ExpIntegralEi[Sqrt[z] (b Log[a] + c Log[h])]/(-2 (1 + n))!) + E^(Sqrt[z] (b Log[a] + c Log[h])) Sum[((-Sqrt[z]) (b Log[a] + c Log[h]))^j/Pochhammer[2 (1 + n), -1 + j - 2 n], {j, 0, 1 + 2 n}] - E^(Sqrt[z] (b Log[a] + c Log[h])) Sum[((-Sqrt[z]) (b Log[a] + c Log[h]))^j/Pochhammer[2 (1 + n), -1 + j - 2 n], {j, 2 (1 + n), -1}]))/(b Log[a] + c Log[h])^ (2 (1 + n)) /; Element[n, Integers]










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)





2002-12-18