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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+b ec z)betaand rational function of ec z





http://functions.wolfram.com/01.03.21.0492.01









  


  








Input Form





Integrate[(a + b E^(c z))^\[Beta]/(d + e E^(c z)), z] == ((a + b E^(c z))^(1 + \[Beta]) (a e Hypergeometric2F1[1 + \[Beta], 1, 2 + \[Beta], (e (a + b E^(c z)))/((-b) d + a e)] + (b d - a e) Hypergeometric2F1[1 + \[Beta], 1, 2 + \[Beta], 1 + (b E^(c z))/a]))/(a c d ((-b) d + a e) (1 + \[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