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Coth






Mathematica Notation

Traditional Notation









Elementary Functions > Coth[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving rational functions of the direct function > Involving (a+b coth(c z))-n





http://functions.wolfram.com/01.22.21.0250.01









  


  










Input Form





Integrate[1/(a + b Coth[c z])^2, z] == (a^2 b - b^3 + a^3 c z + a b^2 c z - 2 a^2 b Log[b Cosh[c z] + a Sinh[c z]] + b Coth[c z] ((a^2 + b^2) c z - 2 a b Log[b Cosh[c z] + a Sinh[c z]]))/ ((a - b)^2 (a + b)^2 c (a + b Coth[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