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Cot






Mathematica Notation

Traditional Notation









Elementary Functions > Cot[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving algebraic functions of the direct function > Involving ((a+b cot(c z))n)beta





http://functions.wolfram.com/01.09.21.0177.01









  


  










Input Form





Integrate[((a + b Cot[c z])^n)^\[Beta], z] == -((a + b Cot[c z]) ((a + b Cot[c z])^n)^\[Beta] (((-I) a + b) Hypergeometric2F1[1 + n \[Beta], 1, 2 + n \[Beta], (a + b Cot[c z])/(a - I b)] + (I a + b) Hypergeometric2F1[ 1 + n \[Beta], 1, 2 + n \[Beta], (a + b Cot[c z])/(a + I b)]))/ (2 (a^2 + b^2) c (1 + n \[Beta]))










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