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 Csch

 http://functions.wolfram.com/01.23.21.0017.01

 Input Form

 Integrate[(t^2 Csch[t])/E^t, {t, 0, Infinity}] == Zeta[3]/2

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"], RowBox[List[SuperscriptBox["t", "2"], " ", SuperscriptBox["\[ExponentialE]", RowBox[List["-", "t"]]], " ", RowBox[List["Csch", "[", "t", "]"]], RowBox[List["\[DifferentialD]", "t"]]]]]], "\[Equal]", FractionBox[RowBox[List["Zeta", "[", "3", "]"]], "2"]]]]]

 MathML Form

 0 t 2 - t csch ( t ) t ζ ( 3 ) TagBox[RowBox[List["\[Zeta]", "(", TagBox["3", Rule[Editable, True]], ")"]], InterpretTemplate[Function[Zeta[Slot[1]]]]] 2 t 0 t 2 -1 t t Zeta 3 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "\[Infinity]"], RowBox[List[RowBox[List[SuperscriptBox["t_", "2"], " ", SuperscriptBox["\[ExponentialE]", RowBox[List["-", "t_"]]], " ", RowBox[List["Csch", "[", "t_", "]"]]]], RowBox[List["\[DifferentialD]", "t_"]]]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["Zeta", "[", "3", "]"]], "2"]]]]]

 Date Added to functions.wolfram.com (modification date)

 2001-10-29