Integrate[Tanh[z]^5 (Csch[z]^3)^(1/4), z] == (1/256) (Csch[z]^3)^(1/4) (-4 (5 + 21 Cosh[2 z]) Sech[z]^4 + 65 Csch[z]^(5/4) (Cos[(3 Pi)/8] Log[1 - 2 Cos[Pi/8] Csch[z]^(1/4) + Sqrt[Csch[z]]] + Cos[(9 Pi)/8] Log[1 - 2 Cos[(3 Pi)/8] Csch[z]^(1/4) + Sqrt[Csch[z]]] + Cos[(15 Pi)/8] Log[1 - 2 Cos[(5 Pi)/8] Csch[z]^(1/4) + Sqrt[Csch[z]]] + Cos[(21 Pi)/8] Log[1 - 2 Cos[(7 Pi)/8] Csch[z]^(1/4) + Sqrt[Csch[z]]] - 2 ArcTan[Csc[Pi/8] (-Cos[Pi/8] + Csch[z]^(1/4))] Sin[(3 Pi)/8] - 2 ArcTan[Csc[(3 Pi)/8] (-Cos[(3 Pi)/8] + Csch[z]^(1/4))] Sin[(9 Pi)/8] - 2 ArcTan[Csc[(5 Pi)/8] (-Cos[(5 Pi)/8] + Csch[z]^(1/4))] Sin[(15 Pi)/8] - 2 ArcTan[Csc[(7 Pi)/8] (-Cos[(7 Pi)/8] + Csch[z]^(1/4))] Sin[(21 Pi)/8])) Sinh[z]^2

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<apply> <times /> <apply> <csc /> <apply> <times /> <cn type='integer'> 7 </cn> <pi /> <apply> <power /> <cn type='integer'> 8 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <plus /> <apply> <power /> <apply> <csch /> <ci> z </ci> </apply> <cn type='rational'> 1 <sep /> 4 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 7 </cn> <pi /> <apply> <power /> <cn type='integer'> 8 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> <apply> <sin /> <apply> <times /> <cn type='integer'> 21 </cn> <pi /> <apply> <power /> <cn type='integer'> 8 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 4 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 21 </cn> <apply> <cosh /> <apply> <times /> <cn type='integer'> 2 </cn> <ci> z 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2002-12-18