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Cot






Mathematica Notation

Traditional Notation









Elementary Functions > Cot[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving power function > Involving power > Involving znand linear arguments





http://functions.wolfram.com/01.09.21.0020.01









  


  










Input Form





Integrate[z^4 Cot[a z], z] == -((I Pi^5)/(160 a^5)) + (I z^5)/5 + (z^4 Log[1 - E^(-2 I a z)])/a + (2 I z^3 PolyLog[2, E^(-2 I a z)])/a^2 + (3 z^2 PolyLog[3, E^(-2 I a z)])/a^3 - (3 I z PolyLog[4, E^(-2 I a z)])/ a^4 - (3 PolyLog[5, E^(-2 I a z)])/(2 a^5)










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