Let \( f: R \rightarrow[4, \infty) \) be an onto quadratic function...

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Let \( f: R \rightarrow[4, \infty) \) be an onto quadratic function whose
P leading coefficient is 1 such that \( f^{\prime}(x)+f^{\prime}(2-x)=0 \).

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Then the value of \( \int_{1}^{3} \frac{d x}{f(x)} \) is equal to
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