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Cosh






Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving rational functions of the direct function > Involving cosh(d z)(a+b cosh(c z))-n





http://functions.wolfram.com/01.20.21.2281.01









  


  










Input Form





Integrate[(A + B Cosh[c z] + C Cosh[c z]^2)/(a + b Cosh[c z])^3, z] == (1/(2 c)) (-((1/(-a^2 + b^2)^(5/2)) (2 (-3 a b B + a^2 (2 A + C) + b^2 (A + 2 C)) ArcTan[((a - b) Tanh[(c z)/2])/Sqrt[-a^2 + b^2]])) + ((A b^2 + a ((-b) B + a C)) Sinh[c z])/(((-a^2) b + b^3) (a + b Cosh[c z])^2) + ((a^2 b B + 2 b^3 B + a^3 C - a b^2 (3 A + 4 C)) Sinh[c z])/(b (a^2 - b^2)^2 (a + b Cosh[c z])))










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