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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 rational functions of the direct function and a power function > Involving zn ec z/a+b ec z





http://functions.wolfram.com/01.03.21.0788.01









  


  










Input Form





Integrate[(z^4 E^(c z))/(a + b E^(c z)), z] == (1/(b c^5)) (c^4 z^4 Log[1 + (b E^(c z))/a] + 4 c^3 z^3 PolyLog[2, -((b E^(c z))/a)] - 12 c^2 z^2 PolyLog[3, -((b E^(c z))/a)] + 24 c z PolyLog[4, -((b E^(c z))/a)] - 24 PolyLog[5, -((b E^(c z))/a)])










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





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