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Cot






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.09.21.0179.01









  


  










Input Form





Integrate[1/Sqrt[(a + b Cot[c z])^3], z] == ((a + b Cot[c z]) (I (a + I b)^(3/2) ArcTanh[Sqrt[a + b Cot[c z]]/ Sqrt[a - I b]] Sqrt[a + b Cot[c z]] + Sqrt[a - I b] (2 Sqrt[a + I b] b - I (a - I b) ArcTanh[Sqrt[a + b Cot[c z]]/Sqrt[a + I b]] Sqrt[a + b Cot[c z]])))/ ((a - I b)^(3/2) (a + I b)^(3/2) c Sqrt[(a + b Cot[c z])^3])










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