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 Exp

 http://functions.wolfram.com/01.03.21.0420.01

 Input Form

 Integrate[1/(a + b E^(c z)), z] == z/a - Log[a + b E^(c z)]/(a c)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[FractionBox["1", RowBox[List["a", "+", RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["c", " ", "z"]]]]]]]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List[FractionBox["z", "a"], "-", FractionBox[RowBox[List["Log", "[", RowBox[List["a", "+", RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["c", " ", "z"]]]]]]], "]"]], RowBox[List["a", " ", "c"]]]]]]]]]

 MathML Form

 1 a + b c z z z a - log ( a + b c z ) a c z 1 a b c z -1 z a -1 -1 a b c z a c -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[FractionBox["1", RowBox[List["a_", "+", RowBox[List["b_", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["c_", " ", "z_"]]]]]]]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["z", "a"], "-", FractionBox[RowBox[List["Log", "[", RowBox[List["a", "+", RowBox[List["b", " ", SuperscriptBox["\[ExponentialE]", RowBox[List["c", " ", "z"]]]]]]], "]"]], RowBox[List["a", " ", "c"]]]]]]]]]

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

 2002-12-18