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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 tanh and exp > Involving ep ztanh(c z)





http://functions.wolfram.com/01.24.21.0190.01









  


  










Input Form





Integrate[E^(p z) Tanh[c z] Sech[c z], z] == 2 E^((-3 c + p) z) ((-(c (-1 + 3 E^(2 c z)) + p - E^(2 c z) p)) (HypergeometricPFQ[{2, 1/2 - p/(2 c)}, {5/2 - p/(2 c)}, -E^(-2 c z)]/ ((-3 c + p) (-c + p))) + (4 c (-1 + E^(2 c z)) (HypergeometricPFQ[{3, 3/2 - p/(2 c)}, {7/2 - p/(2 c)}, -E^(-2 c z)]/ ((3 c - p) (5 c - p))))/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





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