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 Cosh

 http://functions.wolfram.com/01.20.21.0293.01

 Input Form

 Integrate[(E^(c z) Cosh[c z])/z, z] == (1/2) (ExpIntegralEi[2 c z] + Log[z])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[FractionBox[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["c", " ", "z"]]], " ", RowBox[List["Cosh", "[", RowBox[List["c", " ", "z"]], "]"]]]], "z"], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["ExpIntegralEi", "[", RowBox[List["2", " ", "c", " ", "z"]], "]"]], "+", RowBox[List["Log", "[", "z", "]"]]]], ")"]]]]]]]]

 MathML Form

 c z cosh ( c z ) z z 1 2 ( Ei ( 2 c z ) + log ( z ) ) z c z c z z -1 1 2 ExpIntegralEi 2 c z z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[FractionBox[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["c_", " ", "z_"]]], " ", RowBox[List["Cosh", "[", RowBox[List["c_", " ", "z_"]], "]"]]]], "z_"], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List[RowBox[List["ExpIntegralEi", "[", RowBox[List["2", " ", "c", " ", "z"]], "]"]], "+", RowBox[List["Log", "[", "z", "]"]]]], ")"]]]]]]]]

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

 2002-12-18