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Exp






Mathematica Notation

Traditional Notation









Elementary Functions > Exp[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving algebraic functions of the direct function > Involving ee z (a e2d z+b ed z+c)beta





http://functions.wolfram.com/01.03.21.0519.01









  


  










Input Form





Integrate[E^(e z) (a E^(2 d z) + b E^(d z) + c)^\[Beta], z] == (1/e) ((E^(e z) (c + b E^(d z) + a E^(2 d z))^\[Beta] AppellF1[e/d, -\[Beta], -\[Beta], 1 + e/d, -((2 a E^(d z))/(b + Sqrt[b^2 - 4 a c])), (2 a E^(d z))/(-b + Sqrt[b^2 - 4 a c])])/ ((1 - (2 a E^(d z))/(-b + Sqrt[b^2 - 4 a c]))^\[Beta] (1 + (2 a E^(d z))/(b + Sqrt[b^2 - 4 a c]))^\[Beta]))










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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