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 ArcSec

 http://functions.wolfram.com/01.18.21.0010.01

 Input Form

 Integrate[ArcSec[t]/t^(3/2), {t, 1, Infinity}] == (Sqrt[Pi] Gamma[3/4])/Gamma[5/4]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SubsuperscriptBox["\[Integral]", "1", "\[Infinity]"], RowBox[List[RowBox[List["ArcSec", "[", "t", "]"]], " ", SuperscriptBox["t", RowBox[List[RowBox[List["-", "3"]], "/", "2"]]], RowBox[List["\[DifferentialD]", "t"]]]]]], "\[Equal]", FractionBox[RowBox[List[SqrtBox["\[Pi]"], " ", RowBox[List["Gamma", "[", FractionBox["3", "4"], "]"]]]], RowBox[List["Gamma", "[", FractionBox["5", "4"], "]"]]]]]]]

 MathML Form

 1 sec - 1 ( t ) t - 3 / 2 t π Γ ( 3 4 ) Γ ( 5 4 ) t 1 t t -3 2 1 2 Gamma 3 4 Gamma 5 4 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubsuperscriptBox["\[Integral]", "1", "\[Infinity]"], RowBox[List[RowBox[List[RowBox[List["ArcSec", "[", "t_", "]"]], " ", SuperscriptBox["t_", RowBox[List[RowBox[List["-", "3"]], "/", "2"]]]]], RowBox[List["\[DifferentialD]", "t_"]]]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SqrtBox["\[Pi]"], " ", RowBox[List["Gamma", "[", FractionBox["3", "4"], "]"]]]], RowBox[List["Gamma", "[", FractionBox["5", "4"], "]"]]]]]]]

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

 2001-10-29