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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/01.04.21.0029.01









  


  










Input Form





Integrate[Log[Sin[z] + a], z] == (1/8) ((-I) (Pi - 2 z)^2 + 32 I ArcSin[Sqrt[1 + a]/Sqrt[2]] ArcTan[((-1 + a) Tan[(1/4) (Pi - 2 z)])/Sqrt[-1 + a^2]] + 4 (Pi - 2 z + 4 ArcSin[Sqrt[1 + a]/Sqrt[2]]) Log[1 + (I (a - Sqrt[-1 + a^2]))/E^(I z)] + 4 (Pi - 2 z - 4 ArcSin[Sqrt[1 + a]/Sqrt[2]]) Log[1 + (I (a + Sqrt[-1 + a^2]))/E^(I z)] - 4 (Pi - 2 z) Log[a + Sin[z]] - 8 I (PolyLog[2, (I (-a + Sqrt[-1 + a^2]))/E^(I z)] + PolyLog[2, ((-I) (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





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