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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/01.20.21.4271.01









  


  








Input Form





Integrate[Cosh[d z]/(a Sinh[e z] + b Cosh[e z]), z] == (-(1/(a - b))) ((E^((-d + e) z) Hypergeometric2F1[(-d + e)/(2 e), 1, (-d + 3 e)/(2 e), ((a + b) E^(2 e z))/(a - b)])/(-d + e) + (E^((d + e) z) Hypergeometric2F1[(d + e)/(2 e), 1, (d + 3 e)/(2 e), ((a + b) E^(2 e z))/(a - b)])/(d + 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