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Cos






Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Integration > Indefinite integration > Involving functions of the direct function and trigonometric functions > Involving algebraic functions of the direct function and trigonometric functions > Involving algebraic functions of sin > Involving (a sin2(e z)+b cos2(e z))beta





http://functions.wolfram.com/01.07.21.2398.01









  


  










Input Form





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










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