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Cosh






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.20.21.2873.01









  


  










Input Form





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