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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 cot and exp





http://functions.wolfram.com/01.19.21.1345.01









  


  










Input Form





Integrate[E^(b z) Cot[a z] Sinh[c z], z] == (1/2) ((I E^((b - c) z) Hypergeometric2F1[-((I (b - c))/(2 a)), 1, 1 - (I (b - c))/(2 a), E^(2 I a z)])/(b - c) + (1/(2 a - I b + I c)) (E^((2 I a + b - c) z) Hypergeometric2F1[ (2 a - I b + I c)/(2 a), 1, (4 a - I b + I c)/(2 a), E^(2 I a z)]) - (I E^((b + c) z) Hypergeometric2F1[-((I (b + c))/(2 a)), 1, 1 - (I (b + c))/(2 a), E^(2 I a z)])/(b + c) - (1/(2 a - I (b + c))) (E^((2 I a + b + c) z) Hypergeometric2F1[ (2 a - I (b + c))/(2 a), 1, (4 a - I (b + c))/(2 a), E^(2 I a z)]))










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