If \( f(x)=\int \frac{5 x^{8}+7 x^{6}}{\left(x^{2}+1+2 x^{7}\right)^{2}} d x \), and \( f(0)=0 \...

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If \( f(x)=\int \frac{5 x^{8}+7 x^{6}}{\left(x^{2}+1+2 x^{7}\right)^{2}} d x \), and \( f(0)=0 \), then the value of \( f(1) \) is
(A) \( -1 / 2 \)
(B) \( 1 / 4 \)
(C) \( 1 / 2 \)
(D) \( -1 / 4 \)
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