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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/01.22.21.0265.01









  


  








Input Form





Integrate[Coth[c z] ((a + b Coth[c z])^n)^\[Beta], z] == (1/(2 (a^2 - b^2) c (1 + n \[Beta]))) ((a + b Coth[c z]) ((a + b Coth[c z])^n)^\[Beta] ((a + b) Hypergeometric2F1[1 + n \[Beta], 1, 2 + n \[Beta], (a + b Coth[c z])/(a - b)] + (a - b) Hypergeometric2F1[1 + n \[Beta], 1, 2 + n \[Beta], (a + b Coth[c z])/(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