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Coth






Mathematica Notation

Traditional Notation









Elementary Functions > Coth[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving rational functions of the direct function > Involving (a+b coth(c z))-n





http://functions.wolfram.com/01.22.21.0251.01









  


  










Input Form





Integrate[(A + B Coth[z])/(a + b Coth[z])^2, z] == ((A + B Coth[z]) Csch[z] (b Cosh[z] + a Sinh[z]) (((a^2 A + A b^2 - 2 a b B) z (b Cosh[z] + a Sinh[z]))/ ((a - b)^2 (a + b)^2) + ((-2 a A b + a^2 B + b^2 B) Log[b Cosh[z] + a Sinh[z]] (b Cosh[z] + a Sinh[z]))/(a^2 - b^2)^2 + (A b Sinh[z] - a B Sinh[z])/(a^2 - b^2)))/ ((a + b Coth[z])^2 (B Cosh[z] + A Sinh[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