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Tan






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.08.21.0030.01









  


  










Input Form





Integrate[Tan[a ArcCos[z]], z] == (1/(-2 + 8 a^2)) ((I ((1 + 2 a) E^(I (1 + 2 a) ArcCos[z]) Hypergeometric2F1[1 - 1/(2 a), 1, 2 - 1/(2 a), -E^(2 I a ArcCos[z])] + (-1 + 2 a) ((-E^(I (3 + 2 a) ArcCos[z])) Hypergeometric2F1[1 + 1/(2 a), 1, 2 + 1/(2 a), -E^(2 I a ArcCos[z])] + (1 + 2 a) E^(I ArcCos[z]) (Hypergeometric2F1[-(1/(2 a)), 1, 1 - 1/(2 a), -E^(2 I a ArcCos[z])] + E^(2 I ArcCos[z]) Hypergeometric2F1[ 1/(2 a), 1, 1 + 1/(2 a), -E^(2 I a ArcCos[z])]))))/ E^(2 I ArcCos[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)





2002-12-18





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