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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/01.20.21.4763.01









  


  










Input Form





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