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 SinhIntegral

 http://functions.wolfram.com/06.39.21.0002.01

 Input Form

 Integrate[SinhIntegral[a z], z] == -(Cosh[a z]/a) + z SinhIntegral[a z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[RowBox[List["SinhIntegral", "[", RowBox[List["a", " ", "z"]], "]"]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List[RowBox[List["-", FractionBox[RowBox[List["Cosh", "[", RowBox[List["a", " ", "z"]], "]"]], "a"]]], "+", RowBox[List["z", " ", RowBox[List["SinhIntegral", "[", RowBox[List["a", " ", "z"]], "]"]]]]]]]]]]

 MathML Form

 Shi ( a z ) z z Shi ( a z ) - cosh ( a z ) a z SinhIntegral a z z SinhIntegral a z -1 a z a -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List["SinhIntegral", "[", RowBox[List["a_", " ", "z_"]], "]"]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", FractionBox[RowBox[List["Cosh", "[", RowBox[List["a", " ", "z"]], "]"]], "a"]]], "+", RowBox[List["z", " ", RowBox[List["SinhIntegral", "[", RowBox[List["a", " ", "z"]], "]"]]]]]]]]]]

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

 2001-10-29