Integrate[(A + B Coth[z] + C Coth[z]^2)/(a + b Coth[z])^3, z] == ((A + B Coth[z] + C Coth[z]^2) Csch[z] (b Cosh[z] + a Sinh[z]) ((b (A b^2 + a ((-b) B + a C)))/((a - b)^2 (a + b)^2) + (2 (-2 a^2 b B - b^3 B + a^3 C + a b^2 (3 A + 2 C)) Sinh[z] (b Cosh[z] + a Sinh[z]))/((a - b)^2 b (a + b)^2) + (2 (-3 a^2 b B - b^3 B + a^3 (A + C) + 3 a b^2 (A + C)) z (b Cosh[z] + a Sinh[z])^2)/((a - b)^3 (a + b)^3) + (1/(a^2 - b^2)^3) (2 (a^3 B + 3 a b^2 B - 3 a^2 b (A + C) - b^3 (A + C)) Log[b Cosh[z] + a Sinh[z]] (b Cosh[z] + a Sinh[z])^2)))/ ((a + b Coth[z])^3 (-A + C + (A + C) Cosh[2 z] + B Sinh[2 z]))

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2002-12-18