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Coth






Mathematica Notation

Traditional Notation









Elementary Functions > Coth[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving algebraic functions of the direct function > Involving (a+b coth1/2(c z))beta





http://functions.wolfram.com/01.22.21.0283.01









  


  










Input Form





Integrate[Sqrt[a + b Sqrt[Coth[c z]]], z] == ((a - b) Sqrt[a - I b] Sqrt[a + I b] Sqrt[a + b] ArcTanh[Sqrt[a + b Sqrt[Coth[c z]]]/Sqrt[a - b]] + Sqrt[a - b] ((-(a - I b)) Sqrt[a + I b] Sqrt[a + b] ArcTanh[Sqrt[a + b Sqrt[Coth[c z]]]/Sqrt[a - I b]] + Sqrt[a - I b] ((-(a + I b)) Sqrt[a + b] ArcTanh[Sqrt[a + b Sqrt[Coth[c z]]]/Sqrt[a + I b]] + Sqrt[a + I b] (a + b) ArcTanh[Sqrt[a + b Sqrt[Coth[c z]]]/ Sqrt[a + b]])))/(Sqrt[a - b] Sqrt[a - I b] Sqrt[a + I b] Sqrt[a + b] c)










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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