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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 rational functions of the direct function and trigonometric functions > Involving rational functions of sin > Involving (a sin2(e z)+b sin(2 e z)+c cos2(e z))-n





http://functions.wolfram.com/01.07.21.2281.01









  


  










Input Form





Integrate[1/(a Sin[e z]^2 + b Sin[2 e z] + c Cos[e z]^2)^2, z] == (-(1/(2 e))) (((a + c) ArcTan[(-b - a Tan[e z])/Sqrt[-b^2 + a c]])/ (-b^2 + a c)^(3/2) - (2 b (a + c) + (a^2 + 4 b^2 - 2 a c + c^2) Sin[2 e z])/((a - c) (-b^2 + a c) (a + c + (-a + c) Cos[2 e z] + 2 b Sin[2 e z])))










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