Let \( f(x) \) and \( g(x) \) be two functions satisfying \( f\left(x^{2}\right)+ \) \( g(4-x)=4...

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Let \( f(x) \) and \( g(x) \) be two functions satisfying \( f\left(x^{2}\right)+ \) \( g(4-x)=4 x^{3}, g(4-x)+g(x)=0 \), then the value of \( \int_{-4}^{4} f\left(x^{2}\right) \mathrm{d} x \) is
(a) 512
(b) 64
(c) 256
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