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Sec






Mathematica Notation

Traditional Notation









Elementary Functions > Sec[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving algebraic functions of the direct function > Involving ((a+b sec2(c z))n)beta





http://functions.wolfram.com/01.11.21.0103.01









  


  










Input Form





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










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)





2002-10-15