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 ArcCos

 http://functions.wolfram.com/01.13.21.0012.01

 Input Form

 Integrate[ArcCos[t]/Sqrt[t], {t, 0, 1}] == (Sqrt[Pi] Gamma[3/4])/Gamma[5/4]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SubsuperscriptBox["\[Integral]", "0", "1"], RowBox[List[FractionBox[RowBox[List["ArcCos", "[", "t", "]"]], SqrtBox["t"]], RowBox[List["\[DifferentialD]", "t"]]]]]], "\[Equal]", FractionBox[RowBox[List[SqrtBox["\[Pi]"], " ", RowBox[List["Gamma", "[", FractionBox["3", "4"], "]"]]]], RowBox[List["Gamma", "[", FractionBox["5", "4"], "]"]]]]]]]

 MathML Form

 0 1 cos - 1 ( t ) t t π Γ ( 3 4 ) Γ ( 5 4 ) t 0 1 t t 1 2 -1 1 2 Gamma 3 4 Gamma 5 4 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "1"], RowBox[List[FractionBox[RowBox[List["ArcCos", "[", "t_", "]"]], SqrtBox["t_"]], 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