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 Log

 http://functions.wolfram.com/01.05.21.0004.01

 Input Form

 Integrate[a^(\[Alpha] - 1) Log[a, z], a] == ExpIntegralEi[\[Alpha] Log[a]] Log[z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[SuperscriptBox["a", RowBox[List["\[Alpha]", "-", "1"]]], RowBox[List["Log", "[", RowBox[List["a", ",", "z"]], "]"]], RowBox[List["\[DifferentialD]", "a"]]]]]], "\[Equal]", RowBox[List[RowBox[List["ExpIntegralEi", "[", RowBox[List["\[Alpha]", " ", RowBox[List["Log", "[", "a", "]"]]]], "]"]], " ", RowBox[List["Log", "[", "z", "]"]]]]]]]]

 MathML Form

 a α - 1 log a ( z ) a Ei ( α log ( a ) ) log ( z ) a a α -1 a z ExpIntegralEi α a z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List[SuperscriptBox["a_", RowBox[List["\[Alpha]_", "-", "1"]]], " ", RowBox[List["Log", "[", RowBox[List["a_", ",", "z_"]], "]"]]]], RowBox[List["\[DifferentialD]", "a_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["ExpIntegralEi", "[", RowBox[List["\[Alpha]", " ", RowBox[List["Log", "[", "a", "]"]]]], "]"]], " ", RowBox[List["Log", "[", "z", "]"]]]]]]]]

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

 2001-10-29

© 1998-2013 Wolfram Research, Inc.