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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 cosh(d z)(a sinh(e z)+b cosh(e z))-n





http://functions.wolfram.com/01.20.21.4275.01









  


  








Input Form





Integrate[Cosh[d z]/(a Sinh[e z] + b Cosh[e z])^2, z] == (1/(a - b)^2) (2 ((E^((-d + 2 e) z) Hypergeometric2F1[1 - d/(2 e), 2, 2 - d/(2 e), ((a + b) E^(2 e z))/(a - b)])/(-d + 2 e) + (E^((d + 2 e) z) Hypergeometric2F1[1 + d/(2 e), 2, 2 + d/(2 e), ((a + b) E^(2 e z))/(a - b)])/(d + 2 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