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Csc






Mathematica Notation

Traditional Notation









Elementary Functions > Csc[z] > Integration > Indefinite integration > Involving functions of the direct function, trigonometric and exponential functions > Involving powers of the direct function, trigonometric and exponential functions > Involving sin and exp > Involving ep z sin(a z) cscv( c z)





http://functions.wolfram.com/01.10.21.0143.01









  


  










Input Form





Integrate[(Sin[a z] Csc[c z]^\[Nu])/E^(I (a + c \[Nu]) z), z] == (-(1/(4 a c))) (((1 - E^(2 I c z))^\[Nu] Csc[c z]^\[Nu] (c HypergeometricPFQ[{-(a/c), \[Nu]}, {1 - a/c}, E^(2 I c z)] + a E^(2 I a z) (2 I c z + E^(2 I c z) \[Nu] HypergeometricPFQ[ {1, 1, 1 + \[Nu]}, {2, 2}, E^(2 I c z)])))/E^(I z (2 a + c \[Nu])))










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