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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/01.07.21.1410.01









  


  










Input Form





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