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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 coth(c z))n)beta





http://functions.wolfram.com/01.22.21.0263.01









  


  








Input Form





Integrate[Sqrt[(a + b Coth[c z])^3], z] == (Sqrt[(a + b Coth[c z])^3] Sinh[c z] ((-(a - b)^2) Sqrt[I (a + b)] ArcTanh[Sqrt[I (a + b Coth[c z])]/ Sqrt[I (a - b)]] Sqrt[I (a + b Coth[c z])] Sinh[c z] + Sqrt[I (a - b)] ((a + b)^2 ArcTanh[Sqrt[I (a + b Coth[c z])]/ Sqrt[I (a + b)]] Sqrt[I (a + b Coth[c z])] Sinh[c z] - 2 b Sqrt[I (a + b)] (b Cosh[c z] + a Sinh[c z]))))/ (Sqrt[I (a - b)] Sqrt[I (a + b)] c (b Cosh[c z] + a Sinh[c z])^2)








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