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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 powers of the direct function and a power function > Involving product of powers of two direct functions and a power function > Involving zalpha-1(ec z)mu (ea z+b)nu





http://functions.wolfram.com/01.03.21.0717.01









  


  










Input Form





Integrate[z^n (E^(c z))^\[Mu] (E^(a z + b))^\[Nu], z] == (-E^((-z) (c \[Mu] + a \[Nu]))) (E^(b + a z))^\[Nu] (E^(c z))^\[Mu] z^(1 + n) ((-z) (c \[Mu] + a \[Nu]))^(-1 - n) (((-1)^n ExpIntegralEi[z (c \[Mu] + a \[Nu])])/(-1 - n)! + E^(z (c \[Mu] + a \[Nu])) Sum[((-z) (c \[Mu] + a \[Nu]))^j/ Pochhammer[1 + n, j - n], {j, 0, n}] - E^(z (c \[Mu] + a \[Nu])) Sum[((-z) (c \[Mu] + a \[Nu]))^j/Pochhammer[1 + n, j - n], {j, 1 + n, -1}]) /; 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