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Tan






Mathematica Notation

Traditional Notation









Elementary Functions > Tan[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric functions > Involving algebraic functions of cos > Involving cos(2c z)(a+b cos(2c z))beta





http://functions.wolfram.com/01.08.21.0056.01









  


  










Input Form





Integrate[(Cos[2 c z] Tan[c z])/Sqrt[a + b Cos[2 c z]], z] == -(Cos[(c z)/2]^2 Sqrt[(a + b Cos[2 c z])/(1 + Cos[c z])^2] (2 b Log[(2 (a - b + Sqrt[a - b] Sqrt[(a + b Cos[2 c z]) Sec[(c z)/2]^4] + (a - b) Tan[(c z)/2]^2))/ (Sqrt[a - b] (-1 + Tan[(c z)/2]^2))] + Sqrt[a - b] Sqrt[(a + b Cos[2 c z]) Sec[(c z)/2]^4] + Sqrt[a - b] Cos[c z] Sqrt[(a + b Cos[2 c z]) Sec[(c z)/2]^4]))/ (Sqrt[a - b] b c Sqrt[a + b Cos[2 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