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Coth




Mathematica Notation

Traditional Notation









Elementary Functions > Coth[z] > Integration > Indefinite integration > Involving functions of the direct function, hyperbolic and exponential functions > Involving powers of the direct function, hyperbolic and exponential functions > Involving sinh and exp > Involving ep z sinh(b z) cothv( c z)





http://functions.wolfram.com/01.22.21.0423.01









  


  








Input Form





Integrate[(Sinh[b z] Coth[c z]^\[Nu])/E^(b z), z] == (((1 - E^(-2 c z))^\[Nu] Coth[c z]^\[Nu])/(E^(2 b z) (1 + E^(-2 c z))^\[Nu] (4 b))) AppellF1[b/c, -\[Nu], \[Nu], 1 + b/c, -E^(-2 c z), E^(-2 c z)] + (Coth[c z]^(1 + \[Nu]) Hypergeometric2F1[(1 + \[Nu])/2, 1, (3 + \[Nu])/2, Coth[c z]^2])/(2 c (\[Nu] + 1))








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