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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/01.07.21.1366.01









  


  








Input Form





Integrate[(a + b Cos[c z]^2)^\[Beta] Cos[c z], z] == (-(1/(2 b c (1 + \[Beta])))) ((a + b Cos[c z]^2)^(1 + \[Beta]) Csc[c z] Hypergeometric2F1[1 + \[Beta], 1/2, 2 + \[Beta], (a + b Cos[c z]^2)/(a + b)] Sqrt[(b Sin[c z]^2)/(a + b)])








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