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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 tan2(c z))n)beta





http://functions.wolfram.com/01.08.21.0121.01









  


  










Input Form





Integrate[1/Sqrt[(a + b Tan[c z]^2)^3], z] == -(I Sec[c z]^2 ((-I) Sqrt[2] (a + b + (a - b) Cos[2 c z])^(3/2) Csc[2 c z] Log[Sqrt[a + b + (a - b) Cos[2 c z]] + Sqrt[2] Sqrt[(-(a - b)) Sin[c z]^2]] Sqrt[(-(a - b)) Sin[c z]^2] - (I (a - b) b (a + b + (a - b) Cos[2 c z]) Tan[c z])/a))/ (2 (a - b)^2 c Sqrt[(a + b Tan[c z]^2)^3])










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