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Cosh






Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[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+b sinh(e z)+c cosh(e z))-n





http://functions.wolfram.com/01.20.21.4281.01









  


  










Input Form





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










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