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Csch






Mathematica Notation

Traditional Notation









Elementary Functions > Csch[z] > Integration > Indefinite integration > Involving functions of the direct function and hyperbolic functions > Involving rational functions of the direct function and hyperbolic functions > Involving rational functions of tanh > Involving (a tanh(z)+b csch(z))-n





http://functions.wolfram.com/01.23.21.0441.01









  


  










Input Form





Integrate[1/(a Tanh[z] + b Csch[z]), z] == (Csch[z] ((-b + Sqrt[4 a^2 + b^2]) Log[-b + Sqrt[4 a^2 + b^2] - 2 a Cosh[z]] + (b + Sqrt[4 a^2 + b^2]) Log[b + Sqrt[4 a^2 + b^2] + 2 a Cosh[z]]) Sech[z] (b Cosh[z] + a Sinh[z]^2))/(2 a Sqrt[4 a^2 + b^2] (b Csch[z] + a Tanh[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