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Exp






Mathematica Notation

Traditional Notation









Elementary Functions > Exp[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Arguments involving inverse trigonometric functions > Involving cot-1





http://functions.wolfram.com/01.03.21.0190.01









  


  










Input Form





Integrate[E^(a ArcCot[z]), z] == (1/(2 I + a)) (E^(a ArcCot[z]) (I a E^(2 I ArcCot[z]) Hypergeometric2F1[1 - (I a)/2, 1, 2 - (I a)/2, E^(2 I ArcCot[z])] + (2 I + a) (z + I Hypergeometric2F1[-((I a)/2), 1, 1 - (I a)/2, E^(2 I ArcCot[z])])))










Standard Form





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MathML Form







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Rule Form





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2002-12-18





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