Let \( f:(0, \infty) \rightarrow R \) be a continuous function such...

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Let \( f:(0, \infty) \rightarrow R \) be a continuous function such that
\( \mathrm{P}^{18:} \) \( f(x)=\int_{0}^{x} t f(t) d t \). If \( F\left(x^{2}\right)=x^{4}+x^{5} \), then \( \sum_{r=1}^{12} f\left(r^{2}\right) \)

W is equal to
(1) 216
(2) 219
(3) 222
(4) 225
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