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Cosh






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.20.21.4891.01









  


  










Input Form





Integrate[(E^(p z) Cos[d z])/(a Sinh[e z] + b Cosh[e z])^2, z] == (1/(a - b)^2) (2 ((1/((-I) d + 2 e + p)) (E^(((-I) d + 2 e + p) z) Hypergeometric2F1[1 + ((-I) d + p)/(2 e), 2, 2 + ((-I) d + p)/(2 e), ((a + b) E^(2 e z))/(a - b)]) + (1/(I d + 2 e + p)) (E^((I d + 2 e + p) z) Hypergeometric2F1[1 + (I d + p)/(2 e), 2, 2 + (I d + p)/(2 e), ((a + b) E^(2 e z))/(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