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 Cos

 http://functions.wolfram.com/01.07.21.0021.01

 Input Form

 Integrate[Cos[n t]^2, {t, 0, 2 Pi}] == Pi + Sin[4 n Pi]/(4 n)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SubsuperscriptBox["\[Integral]", "0", RowBox[List["2", " ", "\[Pi]"]]], RowBox[List[SuperscriptBox[RowBox[List["Cos", "[", RowBox[List["n", " ", "t"]], "]"]], "2"], RowBox[List["\[DifferentialD]", "t"]]]]]], "\[Equal]", RowBox[List["\[Pi]", "+", FractionBox[RowBox[List["Sin", "[", RowBox[List["4", " ", "n", " ", "\[Pi]"]], "]"]], RowBox[List["4", " ", "n"]]]]]]]]]

 MathML Form

 0 2 π cos 2 ( n t ) t sin ( 4 n π ) 4 n + π t 0 2 n t 2 4 n 4 n -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubsuperscriptBox["\[Integral]", "0", RowBox[List["2", " ", "\[Pi]"]]], RowBox[List[SuperscriptBox[RowBox[List["Cos", "[", RowBox[List["n_", " ", "t_"]], "]"]], "2"], RowBox[List["\[DifferentialD]", "t_"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List["\[Pi]", "+", FractionBox[RowBox[List["Sin", "[", RowBox[List["4", " ", "n", " ", "\[Pi]"]], "]"]], RowBox[List["4", " ", "n"]]]]]]]]]

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

 2001-10-29