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Cosh






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.20.21.4762.01









  


  










Input Form





Integrate[Sin[d z]/(a Sinh[e z] + b Cosh[e z]), z] == (-(1/(a - b))) (I ((E^(((-I) d + e) z) Hypergeometric2F1[((-I) d + e)/(2 e), 1, ((-I) d + 3 e)/(2 e), ((a + b) E^(2 e z))/(a - b)])/((-I) d + e) - (E^((I d + e) z) Hypergeometric2F1[(I d + e)/(2 e), 1, (I d + 3 e)/(2 e), ((a + b) E^(2 e z))/(a - b)])/(I d + e)))










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