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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/01.07.21.2407.01









  


  










Input Form





Integrate[(a + b Sin[e z]^2 + c Cos[e z]^2)^\[Beta], z] == (1/e) ((AppellF1[1/2, 1/2, -\[Beta], 3/2, Sin[e z]^2, ((-b + c) Sin[e z]^2)/(a + c)] Sqrt[Cos[e z]^2] (a + c + (b - c) Sin[e z]^2)^\[Beta] Tan[e z])/ (1 + ((b - c) Sin[e z]^2)/(a + c))^\[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