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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/01.03.21.0493.01









  


  








Input Form





Integrate[Sqrt[a + b E^(c z)]/(d + e E^(c z)), z] == (-2 Sqrt[a] ArcTanh[Sqrt[a + b E^(c z)]/Sqrt[a]] + (2 Sqrt[(-b) d + a e] ArcTanh[(Sqrt[e] Sqrt[a + b E^(c z)])/ Sqrt[(-b) d + a e]])/Sqrt[e])/(c d)








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