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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/01.20.21.4685.01









  


  










Input Form





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










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