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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 trigonometric functions > Involving cos and csch > Involving cos(a z)csch(c z) sech( c z)





http://functions.wolfram.com/01.24.21.0221.01









  


  










Input Form





Integrate[Cos[a z] Csch[c z] Sech[c z], z] == (2 ((E^(I a z) HypergeometricPFQ[{1, 1/2 - (I a)/(4 c)}, {3/2 - (I a)/(4 c)}, E^(-4 c z)])/(I a - 2 c) + HypergeometricPFQ[{1, 1/2 + (I a)/(4 c)}, {3/2 + (I a)/(4 c)}, E^(-4 c z)]/(E^(I a z) ((-I) a - 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