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 AiryBi

 http://functions.wolfram.com/03.06.21.0087.01

 Input Form

 Integrate[1/(AiryAi[z]^2 + AiryBi[z]^2), z] == Pi ArcTan[AiryBi[z]/AiryAi[z]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[FractionBox["1", RowBox[List[SuperscriptBox[RowBox[List["AiryAi", "[", "z", "]"]], "2"], " ", "+", SuperscriptBox[RowBox[List["AiryBi", "[", "z", "]"]], "2"]]]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List["\[Pi]", " ", RowBox[List["ArcTan", "[", FractionBox[RowBox[List["AiryBi", "[", "z", "]"]], RowBox[List["AiryAi", "[", "z", "]"]]], "]"]]]]]]]]

 MathML Form

 1 Ai ( z ) 2 + Bi ( z ) 2 z π tan - 1 ( Bi ( z ) Ai ( z ) ) z 1 AiryAi z 2 AiryBi z 2 -1 AiryBi z AiryAi z -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[FractionBox["1", RowBox[List[SuperscriptBox[RowBox[List["AiryAi", "[", "z_", "]"]], "2"], "+", SuperscriptBox[RowBox[List["AiryBi", "[", "z_", "]"]], "2"]]]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List["\[Pi]", " ", RowBox[List["ArcTan", "[", FractionBox[RowBox[List["AiryBi", "[", "z", "]"]], RowBox[List["AiryAi", "[", "z", "]"]]], "]"]]]]]]]]

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

 2002-12-18

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