Assume that \( f^{\prime \prime} \) is continuous and that \( f(1)=3, f^{\prime}(1)=2 \) and \( ... VIDEO
Assume that \( f^{\prime \prime} \) is continuous and that \( f(1)=3, f^{\prime}(1)=2 \) and \( \int_{0}^{1} f(x) d x=5 \). Find the value of \( \int_{0}^{1} x^{2} f^{\prime \prime}(x) d x \).
(a) 2
(b) 4
(c) 6
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