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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 (a e2d z+b ed z+c)beta





http://functions.wolfram.com/01.03.21.0517.01









  


  










Input Form





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