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 Exp

 http://functions.wolfram.com/01.03.21.0125.01

 Input Form

 Integrate[a^(b z^r + d)/z, z] == (a^d ExpIntegralEi[b z^r Log[a]])/r

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[FractionBox[SuperscriptBox["a", RowBox[List[RowBox[List["b", " ", SuperscriptBox["z", "r"]]], "+", "d"]]], "z"], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", FractionBox[RowBox[List[SuperscriptBox["a", "d"], " ", RowBox[List["ExpIntegralEi", "[", RowBox[List["b", " ", SuperscriptBox["z", "r"], " ", RowBox[List["Log", "[", "a", "]"]]]], "]"]]]], "r"]]]]]

 MathML Form

 a b z r + d z z a d Ei ( b z r log ( a ) ) r z a b z r d z -1 a d ExpIntegralEi b z r a r -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[FractionBox[SuperscriptBox["a_", RowBox[List[RowBox[List["b_", " ", SuperscriptBox["z_", "r_"]]], "+", "d_"]]], "z_"], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SuperscriptBox["a", "d"], " ", RowBox[List["ExpIntegralEi", "[", RowBox[List["b", " ", SuperscriptBox["z", "r"], " ", RowBox[List["Log", "[", "a", "]"]]]], "]"]]]], "r"]]]]]

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

 2002-12-18