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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/01.19.21.1346.01









  


  








Input Form





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