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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/01.07.21.2415.01









  


  










Input Form





Integrate[Cos[e z]/Sqrt[a + b Sin[e z]^2 + c Cos[e z]^2], z] == (Cos[e z] Cot[e z] (Log[-2 (b - c) Cos[e z]^2] - Log[(-b) Sqrt[2 a + b + c + (-b + c) Cos[2 e z]] + c Sqrt[2 a + b + c + (-b + c) Cos[2 e z]] - (b - c) Cos[2 e z] Sqrt[2 a + b + c + (-b + c) Cos[2 e z]] + Sqrt[2] Sqrt[(b - c) Cos[e z]^2] Sqrt[(b - c)^2 Sin[2 e z]^2]]) Sqrt[(b - c)^2 Sin[2 e z]^2])/(2 e ((b - c) Cos[e z]^2)^(3/2))










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