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 Exp

 http://functions.wolfram.com/01.03.21.0184.01

 Input Form

 Integrate[E^(a ArcSin[z]), z] == (E^(a ArcSin[z]) (z + a Sqrt[1 - z^2]))/ (1 + a^2)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["a", " ", RowBox[List["ArcSin", "[", "z", "]"]]]]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", FractionBox[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["a", " ", RowBox[List["ArcSin", "[", "z", "]"]]]]], " ", RowBox[List["(", RowBox[List["z", "+", RowBox[List["a", " ", SqrtBox[RowBox[List["1", "-", SuperscriptBox["z", "2"]]]]]]]], ")"]]]], RowBox[List["1", "+", SuperscriptBox["a", "2"]]]]]]]]

 MathML Form

 a sin - 1 ( z ) z a sin - 1 ( z ) ( 1 - z 2 a + z ) a 2 + 1 z a z a z 1 -1 z 2 1 2 a z a 2 1 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["a_", " ", RowBox[List["ArcSin", "[", "z_", "]"]]]]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["a", " ", RowBox[List["ArcSin", "[", "z", "]"]]]]], " ", RowBox[List["(", RowBox[List["z", "+", RowBox[List["a", " ", SqrtBox[RowBox[List["1", "-", SuperscriptBox["z", "2"]]]]]]]], ")"]]]], RowBox[List["1", "+", SuperscriptBox["a", "2"]]]]]]]]

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

 2002-12-18