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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))beta





http://functions.wolfram.com/01.08.21.0114.01









  


  








Input Form





Integrate[Sqrt[a + b Tan[c z]^2], z] == (-(1/(2 Sqrt[a - b] c))) (I (-2 Sqrt[a - b] Sqrt[-b] Log[2 (I Sqrt[-b] Tan[c z] + Sqrt[a + b Tan[c z]^2])] - (a - b) (-Log[-((4 (a - I b Tan[c z] + Sqrt[a - b] Sqrt[a + b Tan[c z]^2]))/ ((a - b)^(3/2) (-1 + I Tan[c z])))] + Log[(4 (a + I b Tan[c z] + Sqrt[a - b] Sqrt[a + b Tan[c z]^2]))/ ((a - b)^(3/2) (1 + I 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