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Csch




Mathematica Notation

Traditional Notation









Elementary Functions > Csch[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving hyperbolic and trigonometric functions > Involving cos and sinh > Involving cos(a z)sinh(b z) csch( c z)





http://functions.wolfram.com/01.23.21.0204.01









  


  








Input Form





Integrate[Cos[a z] Sinh[b z] Csch[c z], z] == (E^((I a + b) z) (E^((-I) a z) + E^(I a z)) (-E^((-b) z) + E^(b z)) (1 - E^(2 c z)) ((E^(((-I) a - b + c) z) Hypergeometric2F1[1, -((I a + b - c)/(2 c)), -((I a + b - 3 c)/(2 c)), E^(2 c z)])/ (I a + b - c) + (E^((I a - b + c) z) Hypergeometric2F1[1, (I a - b + c)/(2 c), (I a - b + 3 c)/(2 c), E^(2 c z)])/ ((-I) a + b - c) + I ((1/(a + I (b + c))) (E^(((-I) a + b + c) z) Hypergeometric2F1[1, ((-I) a + b + c)/(2 c), ((-I) a + b + 3 c)/ (2 c), E^(2 c z)]) - (1/(a - I (b + c))) (E^((I a + b + c) z) Hypergeometric2F1[1, (I a + b + c)/(2 c), (I a + b + 3 c)/(2 c), E^(2 c z)]))))/(2 (1 + E^(2 I a z)) (-1 + E^(2 b z)) (-1 + E^(2 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