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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/01.07.21.1398.01









  


  








Input Form





Integrate[Sqrt[a + b Cos[c z]^2] Cos[c z]^3, z] == (1/(32 b^(3/2) c)) (-4 (a^2 - 2 a b - 3 b^2) ArcTan[(Sqrt[2] Sqrt[b] Sin[c z])/Sqrt[2 a + b + b Cos[2 c z]]] + 2 Sqrt[2] Sqrt[b] Sqrt[2 a + b + b Cos[2 c z]] (a + 4 b + b Cos[2 c z]) Sin[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