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variants of this functions
ArcTan




Mathematica Notation

Traditional Notation









Elementary Functions > ArcTan[z] > Integration > Indefinite integration > For the direct function itself





http://functions.wolfram.com/01.14.21.0009.01









  


  








Input Form





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