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 Power

 http://functions.wolfram.com/01.02.21.0011.01

 Input Form

 Integrate[1/((1 - n t^2) Sqrt[1 - t^2] Sqrt[1 - m t^2]), {t, 0, 1}] == EllipticPi[n, m]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SubsuperscriptBox["\[Integral]", "0", "1"], RowBox[List[FractionBox["1", RowBox[List[RowBox[List["(", RowBox[List["1", "-", RowBox[List["n", " ", SuperscriptBox["t", "2"]]]]], ")"]], SqrtBox[RowBox[List["1", "-", SuperscriptBox["t", "2"]]]], " ", SqrtBox[RowBox[List["1", "-", RowBox[List["m", " ", SuperscriptBox["t", "2"]]]]]]]]], RowBox[List["\[DifferentialD]", "t"]]]]]], "\[Equal]", RowBox[List["EllipticPi", "[", RowBox[List["n", ",", "m"]], "]"]]]]]]

 MathML Form

 0 1 1 ( 1 - n t 2 ) 1 - t 2 1 - m t 2 t Π ( n m ) t 0 1 1 1 -1 n t 2 1 -1 t 2 1 2 1 -1 m t 2 1 2 -1 EllipticPi n m [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubsuperscriptBox["\[Integral]", "0", "1"], RowBox[List[FractionBox["1", RowBox[List[RowBox[List["(", RowBox[List["1", "-", RowBox[List["n_", " ", SuperscriptBox["t_", "2"]]]]], ")"]], " ", SqrtBox[RowBox[List["1", "-", SuperscriptBox["t_", "2"]]]], " ", SqrtBox[RowBox[List["1", "-", RowBox[List["m_", " ", SuperscriptBox["t_", "2"]]]]]]]]], RowBox[List["\[DifferentialD]", "t_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List["EllipticPi", "[", RowBox[List["n", ",", "m"]], "]"]]]]]]

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

 2007-05-02