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Let f(x) be a function satisfying f(x)=f(x) with f(0)=1 and g(x) be a function that satisfies f(x)+g(x)=x2. Then the value of the integral 10f(x)g(x)dx is :


( A ) e+e2232
( B ) ee2252
( C ) e+e22+52
( D ) ee2232

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