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variants of this functions
Log




Mathematica Notation

Traditional Notation









Elementary Functions > Log[z] > Integration > Indefinite integration > Involving the direct function





http://functions.wolfram.com/01.04.21.0030.01









  


  








Input Form





Integrate[Log[Cos[z] + a], z] == (I z^2)/2 - 4 I ArcSin[Sqrt[1 + a]/Sqrt[2]] ArcTan[((-1 + a) Tan[z/2])/Sqrt[-1 + a^2]] - (z + 2 ArcSin[Sqrt[1 + a]/Sqrt[2]]) Log[1 + (a - Sqrt[-1 + a^2]) E^(I z)] - (z - 2 ArcSin[Sqrt[1 + a]/Sqrt[2]]) Log[1 + (a + Sqrt[-1 + a^2]) E^(I z)] + z Log[a + Cos[z]] + I (PolyLog[2, (-a + Sqrt[-1 + a^2]) E^(I z)] + PolyLog[2, (-(a + Sqrt[-1 + a^2])) E^(I 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)





2001-10-29