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Sech






Mathematica Notation

Traditional Notation









Elementary Functions > Sech[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving hyperbolic and exponential functions > Involving csch and exp > Involving ep zcsch(c z)





http://functions.wolfram.com/01.24.21.0197.01









  


  










Input Form





Integrate[E^(p z) Csch[c z] Sech[c z], z] == (1/(p (2 c + p))) (E^(p z) ((2 c + p) Hypergeometric2F1[p/(2 c), 1, 1 + p/(2 c), -E^(2 c z)] - (2 c + p) Hypergeometric2F1[p/(2 c), 1, 1 + p/(2 c), E^(2 c z)] - E^(2 c z) p (Hypergeometric2F1[1 + p/(2 c), 1, 2 + p/(2 c), -E^(2 c z)] + Hypergeometric2F1[1 + p/(2 c), 1, 2 + p/(2 c), 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