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Sech




Mathematica Notation

Traditional Notation









Elementary Functions > Sech[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 csch > Involving (a csch(z)+b sech(z))-n





http://functions.wolfram.com/01.24.21.0459.01









  


  








Input Form





Integrate[1/(a Csch[z] + b Sech[z]), z] == (Csch[z] Sech[z] (a Cosh[z] + b Sinh[z]) (a Sqrt[a - b] (a + b) Cosh[z] - b (-2 a Sqrt[a + b] ArcTan[(b + a Tanh[z/2])/(Sqrt[a - b] Sqrt[a + b])] + Sqrt[a - b] (a + b) Sinh[z])))/((a - b)^(3/2) (a + b)^2 (a Csch[z] + b Sech[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