html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 ArcCoth

 http://functions.wolfram.com/01.28.21.0002.01

 Input Form

 Integrate[ArcCoth[a z], z] == z ArcCoth[a z] + Log[-1 + a^2 z^2]/(2 a)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[RowBox[List["ArcCoth", "[", RowBox[List["a", " ", "z"]], "]"]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List[RowBox[List["z", " ", RowBox[List["ArcCoth", "[", RowBox[List["a", " ", "z"]], "]"]]]], "+", FractionBox[RowBox[List["Log", "[", RowBox[List[RowBox[List["-", "1"]], "+", RowBox[List[SuperscriptBox["a", "2"], " ", SuperscriptBox["z", "2"]]]]], "]"]], RowBox[List["2", " ", "a"]]]]]]]]]

 MathML Form

 coth - 1 ( a z ) z z coth - 1 ( a z ) + log ( a 2 z 2 - 1 ) 2 a z a z z a z a 2 z 2 -1 2 a -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[RowBox[List["ArcCoth", "[", RowBox[List["a_", " ", "z_"]], "]"]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["z", " ", RowBox[List["ArcCoth", "[", RowBox[List["a", " ", "z"]], "]"]]]], "+", FractionBox[RowBox[List["Log", "[", RowBox[List[RowBox[List["-", "1"]], "+", RowBox[List[SuperscriptBox["a", "2"], " ", SuperscriptBox["z", "2"]]]]], "]"]], RowBox[List["2", " ", "a"]]]]]]]]]

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

 2001-10-29

© 1998-2013 Wolfram Research, Inc.