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http://functions.wolfram.com/01.09.21.0170.01
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Integrate[1/(a + b Cot[z]^2)^2, z] ==
((-a - b + (a - b) Cos[2 z]) Csc[z]^4
((-Sqrt[b]) (-3 a + b) ArcTan[(Sqrt[a] Tan[z])/Sqrt[b]]
(a + b + (-a + b) Cos[2 z]) + Sqrt[a] (-2 a (a + b) z +
2 a (a - b) z Cos[2 z] - (a - b) b Sin[2 z])))/
(8 a^(3/2) (a - b)^2 (a + b Cot[z]^2)^2)
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Date Added to functions.wolfram.com (modification date)
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){kind=small}
