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Coth






Mathematica Notation

Traditional Notation









Elementary Functions > Coth[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving hyperbolic functions > Involving algebraic functions of cosh > Involving (a+b cosh(c z))beta





http://functions.wolfram.com/01.22.21.0124.01









  


  










Input Form





Integrate[Sqrt[a + b Cosh[c z]] Coth[c z], z] == (1/(Sqrt[-a - b] Sqrt[-a + b] c)) (Sqrt[-a + b] (a + b) ArcTan[Sqrt[a + b Cosh[c z]]/Sqrt[-a - b]] + Sqrt[-a - b] ((a - b) ArcTan[Sqrt[a + b Cosh[c z]]/Sqrt[-a + b]] + 2 Sqrt[-a + b] Sqrt[a + b Cosh[c z]]))










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