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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 coth2(c z))n)beta





http://functions.wolfram.com/01.22.21.0278.01









  


  








Input Form





Integrate[Coth[c z] Sqrt[(a + b Coth[c z]^2)^5], z] == (1/c) (Sqrt[(a + b Coth[c z]^2)^5] Sinh[c z]^5 (-((4 Csch[c z] (23 (a + b)^2 + 11 b (a + b) Csch[c z]^2 + 3 b^2 Csch[c z]^4))/(15 (-a + b + (a + b) Cosh[2 c z])^2)) + (4 Sqrt[2] Csch[c z]^5 Log[Sqrt[-a + b + (a + b) Cosh[2 c z]] + Sqrt[2] Sqrt[(a + b) Sinh[c z]^2]] ((a + b) Sinh[c z]^2)^(5/2))/ (-a + b + (a + b) Cosh[2 c z])^(5/2)))








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