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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/01.03.21.0494.01









  


  








Input Form





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








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