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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, exponential and trigonometric functions > Involving sin, cosh and exp > Involving ep z sin(a z)cosh(b z) csch( c z)





http://functions.wolfram.com/01.23.21.0251.01









  


  








Input Form





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