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Cos




Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving algebraic functions of the direct function > Involving (a+b sin2(c z))betaand rational function of sin(c z)





http://functions.wolfram.com/01.07.21.1421.01









  


  








Input Form





Integrate[Cos[c z]/((d + e Cos[c z]^2)^2 Sqrt[a + b Cos[c z]^2]), z] == (((a e - b (2 d + e)) ArcTan[(Sqrt[2 b d - 2 a e] Sin[c z])/ (Sqrt[d + e] Sqrt[2 a + b + b Cos[2 c z]])])/ (Sqrt[d + e] Sqrt[b d - a e]) + (Sqrt[2] e Sqrt[2 a + b + b Cos[2 c z]] Sin[c z])/(2 d + e + e Cos[2 c z]))/(2 c (d + e) ((-b) d + a e))








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