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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[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 zsinh(d z)(a sin(e z)+b cos(e z))-n





http://functions.wolfram.com/01.19.21.1328.01









  


  










Input Form





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