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Csc






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.10.21.0091.01









  


  










Input Form





Integrate[1/(a + b Csc[z]^2)^2, z] == ((-a - 2 b + a Cos[2 z]) Csc[z]^4 ((Sqrt[b] (3 a + 2 b) ArcTan[(Sqrt[a + b] Tan[z])/Sqrt[b]] (a + 2 b - a Cos[2 z]))/(a + b)^(3/2) + 2 z (-a - 2 b + a Cos[2 z]) - (a b Sin[2 z])/(a + b)))/(8 a^2 (a + b Csc[z]^2)^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