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Sec






Mathematica Notation

Traditional Notation









Elementary Functions > Sec[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/01.11.21.0125.01









  


  










Input Form





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





2002-10-15