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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/01.08.21.0124.01









  


  








Input Form





Integrate[Tan[c z] Sqrt[(a + b Tan[c z]^2)^3], z] == (Csc[c z]^2 Sec[c z]^2 (4 (a - b) Cos[c z]^4 (4 Sqrt[a + b + (a - b) Cos[2 c z]] - 3 Sqrt[2] Sqrt[(a - b) Cos[c z]^2] Log[Sqrt[2] Sqrt[(a - b) Cos[c z]^2] + Sqrt[a + b + (a - b) Cos[2 c z]]]) Sin[c z]^2 + b Sqrt[a + b + (a - b) Cos[2 c z]] Sin[2 c z]^2) Sqrt[(a + b Tan[c z]^2)^3])/(6 c (a + b + (a - b) 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)





2002-12-18