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Sech






Mathematica Notation

Traditional Notation









Elementary Functions > Sech[z] > Integration > Indefinite integration > Involving functions of the direct function and trigonometric functions > Involving powers of the direct function and trigonometric functions > Involving sin > Involving sin(b z)





http://functions.wolfram.com/01.24.21.0347.01









  


  










Input Form





Integrate[Sin[b z] Sech[c z]^\[Nu], z] == ((-(1/(2 (b^2 + c^2 \[Nu]^2)))) (1 + E^(2 c z))^\[Nu] Sech[c z]^\[Nu] ((b - I c \[Nu]) HypergeometricPFQ[{-((I b)/(2 c)) + \[Nu]/2, \[Nu]}, {1 - (I b)/(2 c) + \[Nu]/2}, -E^(2 c z)] + E^(2 I b z) (b + I c \[Nu]) HypergeometricPFQ[{(I b)/(2 c) + \[Nu]/2, \[Nu]}, {1 + (I b)/(2 c) + \[Nu]/2}, -E^(2 c z)]))/E^(I b 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