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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 algebraic functions of the direct function and hyperbolic functions > Involving sinh > Involving sinhm(c z)coshm(c z)(a+b cosh(2c z))beta





http://functions.wolfram.com/01.20.21.4361.01









  


  










Input Form





Integrate[(Sinh[c z]^4 Cosh[c z])/Sqrt[a + b Cosh[2 c z]], z] == (1/(64 b^(5/2) c)) (3 Sqrt[2] (a + b)^2 ArcTanh[(Sqrt[2] Sqrt[b] Sinh[c z])/Sqrt[a + b Cosh[2 c z]]] + 2 Sqrt[b] Sqrt[a + b Cosh[2 c z]] (-3 a - 5 b + 2 b Cosh[2 c z]) Sinh[c 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