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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 powers of the direct function and hyperbolic functions > Involving sinh and rational functions of cosh > Involving sinh(d z)(a+b cosh(c z))-n





http://functions.wolfram.com/01.20.21.4232.01









  


  








Input Form





Integrate[(A + B Sinh[z])/(a + b Cosh[z])^3, z] == (1/2) (-((2 A (2 a^2 + b^2) ArcTan[((a - b) Tanh[z/2])/Sqrt[-a^2 + b^2]])/ (-a^2 + b^2)^(5/2)) - B/(b (a + b Cosh[z])^2) + (A b (-4 a^2 + b^2 - 3 a b Cosh[z]) Sinh[z])/ ((a^2 - b^2)^2 (a + b Cosh[z])^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