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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 cos2(c z))beta cosnu(c z)





http://functions.wolfram.com/01.07.21.1414.01









  


  










Input Form





Integrate[Cos[c z]^4/(a + b Cos[c z]^2)^(5/2), z] == (((2 a + b + b Cos[2 c z])/(a + b))^(3/2) (-2 (a + 2 b) EllipticE[c z, b/(a + b)] + (2 a + 3 b) EllipticF[c z, b/(a + b)]) + (1/(a + b)^2) (Sqrt[2] b (a^2 + 4 a b + 2 b^2 + b (a + 2 b) Cos[2 c z]) Sin[2 c z]))/(3 b^2 c (2 a + b + 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