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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 sinh > Involving (a sinh(z)+b sech(z))-n





http://functions.wolfram.com/01.24.21.0452.01









  


  








Input Form





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