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Tan






Mathematica Notation

Traditional Notation









Elementary Functions > Tan[z] > Integration > Indefinite integration > Involving functions of the direct function and trigonometric functions > Involving rational functions of the direct function and trigonometric functions > Involving rational functions of sin > Involving (a sin(c z)+b tan(c z))-n





http://functions.wolfram.com/01.08.21.0200.01









  


  










Input Form





Integrate[1/(a Sin[c z] + b Tan[c z])^2, z] == (Cot[c z] ((-(b + a Cos[c z])) (-2 a b + (a^2 + b^2) Cos[c z]) Sec[c z] + (1/Sqrt[a^2 - b^2]) (2 b (2 a^2 + b^2) ArcTanh[((-a + b) Tan[(c z)/2])/ Sqrt[a^2 - b^2]] (b + a Cos[c z]) Tan[c z]) + a b^2 Sin[c z] Tan[c z]))/((a^2 - b^2)^2 c (b + a Cos[c z]))










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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