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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/01.07.21.2408.01









  


  








Input Form





Integrate[Sqrt[a + b Sin[e z]^2 + c Cos[e z]^2], z] == (Cos[e z] EllipticE[ArcSin[Sin[e z]], (-b + c)/(a + c)] Sqrt[a + c + (b - c) Sin[e z]^2])/(e Sqrt[Cos[e z]^2] Sqrt[(a + c + (b - c) Sin[e z]^2)/(a + c)])








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