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Csch






Mathematica Notation

Traditional Notation









Elementary Functions > Csch[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving hyperbolic and exponential functions > Involving powers of coth and exp > Involving ep zcothmu(c z) csch(c z)





http://functions.wolfram.com/01.23.21.0200.01









  


  










Input Form





Integrate[E^(c z) Coth[c z]^\[Mu] Csch[c z], z] == (-(1/(c (1 + \[Mu])))) (2^(-1 - \[Mu]) (1 - E^(2 c z))^\[Mu] (1 + E^(2 c z)) Coth[c z]^\[Mu] Hypergeometric2F1[1 + \[Mu], 1 + \[Mu], 2 + \[Mu], (1/2) (1 + E^(2 c z))])










Standard Form





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MathML Form







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</ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <exponentiale /> <apply> <times /> <cn type='integer'> 2 </cn> <ci> c </ci> <ci> z </ci> </apply> </apply> </apply> </apply> <ci> &#956; </ci> </apply> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <power /> <exponentiale /> <apply> <times /> <cn type='integer'> 2 </cn> <ci> c </ci> <ci> z </ci> </apply> </apply> </apply> <apply> <power /> <apply> <coth /> <apply> <times /> <ci> c </ci> <ci> z </ci> </apply> </apply> <ci> &#956; </ci> </apply> <apply> <power /> <apply> <times /> <ci> c </ci> <apply> <plus /> <ci> &#956; </ci> <cn type='integer'> 1 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <ci> Hypergeometric2F1 </ci> <apply> <plus /> <ci> &#956; </ci> <cn type='integer'> 1 </cn> </apply> <apply> <plus /> <ci> &#956; </ci> <cn type='integer'> 1 </cn> </apply> <apply> <plus /> <ci> &#956; 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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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