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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/01.04.21.0032.01









  


  










Input Form





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