The Fourier coeficients of the function $f ( x ) = x ^ { 2 }$ on $[ - 1,1 ]$ are Select all that apply.
A) $a _ { 0 } = 2 / 3$
B) $a _ { n } = 0$
C) $a _ { n } = 4 ( - 1 ) ^ { n } / \left( n ^ { 2 } \pi ^ { 2 } \right)$
D) $b _ { n } = 0$
E) $b _ { n } = 4 ( - 1 ) ^ { n } / \left( n ^ { 2 } \pi ^ { 2 } \right)$

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The Answer of The Fourier coeficients of the function $f ( x ) = x ^ { 2 }$ on $[ - 1,1 ]$ are Select all that apply.
A) $a _ { 0 } = 2 / 3$
B) $a _ { n } = 0$
C) $a _ { n } = 4 ( - 1 ) ^ { n } / \left( n ^ { 2 } \pi ^ { 2 } \right)$
D) $b _ { n } = 0$
E) $b _ { n } = 4 ( - 1 ) ^ { n } / \left( n ^ { 2 } \pi ^ { 2 } \right)$

The Fourier Coeficients of the Function f(x)=x2f ( x ) = x ^ { 2 }f(x)=x2

The Fourier Coeficients of the Function $f ( x ) = x ^ { 2 }$