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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))betacos(d z)





http://functions.wolfram.com/01.07.21.1370.01









  


  








Input Form





Integrate[(a + b Cos[c z]^2)^(3/2) Cos[c z], z] == (1/(32 Sqrt[b] c)) (12 (a + 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]] (5 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