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; }

 Tan

 http://functions.wolfram.com/01.08.21.0011.01

 Input Form

 Integrate[Tan[t]^n, {t, 0, Pi/2}] == (1/2) Pi Sec[(n Pi)/2] /; Abs[Re[n]] < 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[SubsuperscriptBox["\[Integral]", "0", FractionBox["\[Pi]", "2"]], RowBox[List[SuperscriptBox[RowBox[List["Tan", "[", "t", "]"]], "n"], RowBox[List["\[DifferentialD]", "t"]]]]]], "\[Equal]", RowBox[List[FractionBox["1", "2"], " ", "\[Pi]", " ", RowBox[List["Sec", "[", FractionBox[RowBox[List["n", " ", "\[Pi]"]], "2"], "]"]]]]]], "/;", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Re", "[", "n", "]"]], "]"]], "<", "1"]]]]]]

 MathML Form

 0 π 2 tan n ( t ) t 1 2 π sec ( n π 2 ) /; "\[LeftBracketingBar]" Re ( n ) "\[RightBracketingBar]" < 1 Condition t 0 2 -1 t n 1 2 n 2 -1 n 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubsuperscriptBox["\[Integral]", "0", FractionBox["\[Pi]", "2"]], RowBox[List[SuperscriptBox[RowBox[List["Tan", "[", "t_", "]"]], "n_"], RowBox[List["\[DifferentialD]", "t_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", "\[Pi]", " ", RowBox[List["Sec", "[", FractionBox[RowBox[List["n", " ", "\[Pi]"]], "2"], "]"]]]], "/;", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Re", "[", "n", "]"]], "]"]], "<", "1"]]]]]]]]

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

 2001-10-29