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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/01.07.21.2253.01









  


  










Input Form





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