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Tanh






Mathematica Notation

Traditional Notation









Elementary Functions > Tanh[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving algebraic functions of the direct function > Involving (a+b tanh1/2(c z))beta





http://functions.wolfram.com/01.21.21.0260.01









  


  










Input Form





Integrate[Tanh[c z]/Sqrt[a + b Sqrt[Tanh[c z]]], z] == (1/((a^4 - b^4) c)) (Sqrt[a - b] (a^3 + a^2 b + a b^2 + b^3) ArcTanh[Sqrt[a + b Sqrt[Tanh[c z]]]/Sqrt[a - b]] + (a - b) (Sqrt[a - I b] (a^2 + (1 + I) a b + I b^2) ArcTanh[Sqrt[a + b Sqrt[Tanh[c z]]]/Sqrt[a - I b]] + (a - I b) (Sqrt[a + I b] (a + b) ArcTanh[Sqrt[a + b Sqrt[Tanh[c z]]]/ Sqrt[a + I b]] + (a + I b) Sqrt[a + b] ArcTanh[Sqrt[a + b Sqrt[Tanh[c z]]]/Sqrt[a + b]])))










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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