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 Fibonacci

 http://functions.wolfram.com/05.12.21.0002.01

 Input Form

 Integrate[Fibonacci[n, z], z] == (2 Fibonacci[1 + n, z] - z Fibonacci[n, z])/n

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[RowBox[List["Fibonacci", "[", RowBox[List["n", ",", "z"]], "]"]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", FractionBox[RowBox[List[RowBox[List["2", " ", RowBox[List["Fibonacci", "[", RowBox[List[RowBox[List["1", "+", "n"]], ",", "z"]], "]"]]]], "-", RowBox[List["z", " ", RowBox[List["Fibonacci", "[", RowBox[List["n", ",", "z"]], "]"]]]]]], "n"]]]]]

 MathML Form

 F TagBox["F", Fibonacci] n ( z ) z 2 F TagBox["F", Fibonacci] n + 1 ( z ) - z F TagBox["F", Fibonacci] n ( z ) n z Fibonacci n z 2 Fibonacci n 1 z -1 z Fibonacci n z n -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List["Fibonacci", "[", RowBox[List["n_", ",", "z_"]], "]"]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["2", " ", RowBox[List["Fibonacci", "[", RowBox[List[RowBox[List["1", "+", "n"]], ",", "z"]], "]"]]]], "-", RowBox[List["z", " ", RowBox[List["Fibonacci", "[", RowBox[List["n", ",", "z"]], "]"]]]]]], "n"]]]]]

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

 2001-10-29