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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 tan2(c z))beta





http://functions.wolfram.com/01.08.21.0212.01









  


  










Input Form





Integrate[Cos[c z] Sqrt[a + b Tan[c z]^2], z] == (I Sqrt[2] a Sqrt[((-a + b) Cos[c z]^2)/b] Csc[c z] (EllipticE[I ArcSinh[(Sqrt[-(1/b)] Sqrt[a + b + (a - b) Cos[2 c z]])/ Sqrt[2]], b/a] - EllipticF[ I ArcSinh[(Sqrt[-(1/b)] Sqrt[a + b + (a - b) Cos[2 c z]])/Sqrt[2]], b/a]) Sqrt[((a - b) Sin[c z]^2)/a] Sqrt[a + b Tan[c z]^2])/ (Sqrt[-(1/b)] (-a + b) c Sqrt[a + b + (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





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