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Csc






Mathematica Notation

Traditional Notation









Elementary Functions > Csc[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving algebraic functions of the direct function > Involving ((a+b csc2(c z))n)beta





http://functions.wolfram.com/01.10.21.0105.01









  


  










Input Form





Integrate[Sqrt[(a + b Csc[c z]^2)^3], z] == (Sqrt[(a + b Csc[c z]^2)^3] Sin[c z] ((-Sqrt[2]) b (3 a + b) ArcTanh[(Sqrt[2] Sqrt[-b] Cos[c z])/ Sqrt[-a - 2 b + a Cos[2 c z]]] Sin[c z]^2 + Sqrt[-b] (b Cos[c z] Sqrt[-a - 2 b + a Cos[2 c z]] - 2 Sqrt[2] a^(3/2) Log[Sqrt[2] Sqrt[a] Cos[c z] + Sqrt[-a - 2 b + a Cos[2 c z]]] Sin[c z]^2)))/ (Sqrt[-b] c (-a - 2 b + a Cos[2 c z])^(3/2))










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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