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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 +b sin2(e z)+c cos2(e z))beta





http://functions.wolfram.com/01.07.21.2410.01









  


  








Input Form





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








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