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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/a+b cosh2(c z)





http://functions.wolfram.com/01.20.21.2868.01









  


  








Input Form





Integrate[E^(c z)/(a + b Cosh[c z]^2), z] == (1/(c Sqrt[a] Sqrt[b] Sqrt[a + b])) ((-Sqrt[2 a + b - 2 Sqrt[a] Sqrt[a + b]]) ArcTan[(Sqrt[b] E^(c z))/Sqrt[2 a + b - 2 Sqrt[a] Sqrt[a + b]]] + Sqrt[2 a + b + 2 Sqrt[a] Sqrt[a + b]] ArcTan[(Sqrt[b] E^(c z))/Sqrt[2 a + b + 2 Sqrt[a] Sqrt[a + b]]])








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