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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 cos(d z)(a+b sin(e z)+c cos(e z))-n





http://functions.wolfram.com/01.07.21.2255.01









  


  








Input Form





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