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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/01.07.21.1411.01









  


  








Input Form





Integrate[Cos[c z]^5/(a + b Cos[c z]^2)^(3/2), z] == (1/(2 c)) (((-3 a + b) ArcTan[(Sqrt[2] Sqrt[b] Sin[c z])/ Sqrt[2 a + b + b Cos[2 c z]]])/b^(5/2) + ((6 a^2 + 3 a b + b^2 + b (a + b) Cos[2 c z]) Sin[c z])/ (Sqrt[2] b^2 (a + b) 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