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Cosh






Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving functions of the direct function, hyperbolic and exponential functions > Involving rational functions of the direct function, hyperbolic and exponential functions > Involving sinh and exp > Involving ep zsinh(d z)(a+b cosh(c z))-n





http://functions.wolfram.com/01.20.21.4684.01









  


  










Input Form





Integrate[(E^(p z) Sinh[c z])/(a + b Cosh[c z])^2, z] == -(E^((c + p) z) ((a + Sqrt[a^2 - b^2]) Hypergeometric2F1[(c + p)/c, 2, 2 + p/c, (b E^(c z))/(-a + Sqrt[a^2 - b^2])] + (-a + Sqrt[a^2 - b^2]) Hypergeometric2F1[(c + p)/c, 2, 2 + p/c, -((b E^(c z))/(a + Sqrt[a^2 - b^2]))]))/(b^2 Sqrt[a^2 - b^2] (c + p))










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