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Cosh






Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric and exponential functions > Involving rational functions of sin, cos and exp > Involving ep zcosh(d z)(a sin(e z)+b cos(e z))-n





http://functions.wolfram.com/01.20.21.1328.01









  


  










Input Form





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