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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 sin > Involving sin(c z)(a+b tan(c z))beta





http://functions.wolfram.com/01.08.21.0203.01









  


  










Input Form





Integrate[Sin[c z] Sqrt[a + b Tan[c z]], z] == (-(1/(Sqrt[-a + I b] c))) (Cos[c z] ((-I) EllipticF[I ArcSinh[Sqrt[-a + I b]/Sqrt[a + b Tan[c z]]], (a + I b)/(a - I b)] Sec[c z] (a Cos[c z] + b Sin[c z]) Sqrt[-((I b (-1 + I Tan[c z]))/(a + b Tan[c z]))] Sqrt[-((I b (1 + I Tan[c z]))/(a + b Tan[c z]))] + Sqrt[-a + I b] Sqrt[a + b Tan[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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