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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/01.07.21.1368.01









  


  








Input Form





Integrate[(a + a Cos[c z]^2)^\[Beta] Cos[c z], z] == (-(1/(2 Sqrt[2] a c (1 + \[Beta])))) ((a (1 + Cos[c z]^2))^(1 + \[Beta]) Csc[c z] Hypergeometric2F1[1 + \[Beta], 1/2, 2 + \[Beta], (1/4) (3 + Cos[2 c z])] Sqrt[Sin[c z]^2])








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