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 BernoulliB

 http://functions.wolfram.com/05.14.21.0001.01

 Input Form

 Integrate[BernoulliB[n, a z], z] == BernoulliB[1 + n, a z]/(a (1 + n))

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[RowBox[List["BernoulliB", "[", RowBox[List["n", ",", RowBox[List["a", " ", "z"]]]], "]"]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", FractionBox[RowBox[List["BernoulliB", "[", RowBox[List[RowBox[List["1", "+", "n"]], ",", RowBox[List["a", " ", "z"]]]], "]"]], RowBox[List["a", RowBox[List["(", RowBox[List["1", "+", "n"]], ")"]]]]]]]]]

 MathML Form

 B TagBox["B", BernoulliB] n ( a z ) z B TagBox["B", BernoulliB] n + 1 ( a z ) a ( n + 1 ) z BernoulliB n a z BernoulliB n 1 a z a n 1 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List["BernoulliB", "[", RowBox[List["n_", ",", RowBox[List["a_", " ", "z_"]]]], "]"]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["BernoulliB", "[", RowBox[List[RowBox[List["1", "+", "n"]], ",", RowBox[List["a", " ", "z"]]]], "]"]], RowBox[List["a", " ", RowBox[List["(", RowBox[List["1", "+", "n"]], ")"]]]]]]]]]

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

 2001-10-29