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Suppose that \( f(1)=4, f(4)=7, f^{\prime}(1)=5, f^{\prime}(4)=5 \), and \( f^{\prime \prime} \) i ...
Suppose that \( f(1)=4, f(4)=7, f^{\prime}(1)=5, f^{\prime}(4)=5 \), and \( f^{\prime \prime} \) is continuous. Find the value of \( \int_{1}^{4} x f^{\prime \prime}(x) d x \).