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Tan






Mathematica Notation

Traditional Notation









Elementary Functions > Tan[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving algebraic functions of the direct function > Involving ((a+b tan(c z))n)beta





http://functions.wolfram.com/01.08.21.0108.01









  


  










Input Form





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





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