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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 algebraic functions of the direct function and trigonometric functions > Involving cos > Involving cos(c z)(a+b tan(c z))beta





http://functions.wolfram.com/01.08.21.0208.01









  


  










Input Form





Integrate[Cos[c z] (a + b Tan[c z])^\[Beta], z] == (b AppellF1[1 + \[Beta], 3/2, 3/2, 2 + \[Beta], (a + b Tan[c z])/(a + I b), (a + b Tan[c z])/(a - I b)] Cos[c z] Sqrt[(b (1 + I Tan[c z]))/((-I) a + b)] Sqrt[-((b (I + Tan[c z]))/(a - I b))] (a + b Tan[c z])^(1 + \[Beta]))/ ((a - I b) (a + I b) c (1 + \[Beta]))










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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