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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 powers of the direct function and trigonometric functions > Involving sin and cos





http://functions.wolfram.com/01.08.21.0197.01









  


  










Input Form





Integrate[(Sin[c z] Tan[c z]^3)/Sqrt[a + b Cos[2 c z]], z] == (Sqrt[-b] (-3 a + b) ArcTanh[(Sqrt[a - b] Sin[c z])/ Sqrt[a + b Cos[2 c z]]] + Sqrt[a - b] (Sqrt[2] (a - b) Log[Sqrt[a + b Cos[2 c z]] + Sqrt[2] Sqrt[-b] Sin[c z]] + Sqrt[-b] Sqrt[a + b Cos[2 c z]] Sec[c z] Tan[c z]))/ (2 (a - b)^(3/2) Sqrt[-b] c)










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