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 JacobiSN

 http://functions.wolfram.com/09.36.21.0022.01

 Input Form

 Integrate[JacobiDN[z, m]/JacobiSN[z, m]^2, z] == -(JacobiCN[z, m]/JacobiSN[z, m])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Integral]", RowBox[List[FractionBox[RowBox[List["JacobiDN", "[", RowBox[List["z", ",", "m"]], "]"]], SuperscriptBox[RowBox[List["JacobiSN", "[", RowBox[List["z", ",", "m"]], "]"]], "2"]], RowBox[List["\[DifferentialD]", "z"]]]]]], "\[Equal]", RowBox[List["-", FractionBox[RowBox[List["JacobiCN", "[", RowBox[List["z", ",", "m"]], "]"]], RowBox[List["JacobiSN", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]]]]

 MathML Form

 dn ( z m ) sn ( z m ) 2 z - cn ( z m ) sn ( z m ) z JacobiDN z m JacobiSN z m 2 -1 -1 JacobiCN z m JacobiSN z m -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["\[Integral]", RowBox[List[FractionBox[RowBox[List["JacobiDN", "[", RowBox[List["z_", ",", "m_"]], "]"]], SuperscriptBox[RowBox[List["JacobiSN", "[", RowBox[List["z_", ",", "m_"]], "]"]], "2"]], RowBox[List["\[DifferentialD]", "z_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List["-", FractionBox[RowBox[List["JacobiCN", "[", RowBox[List["z", ",", "m"]], "]"]], RowBox[List["JacobiSN", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]]]]

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

 2001-10-29