Let \( f(x)=\left\{\begin{array}{ll}3 x^{2}+4, & \text { when } 0 \...

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Let \( f(x)=\left\{\begin{array}{ll}3 x^{2}+4, & \text { when } 0 \leq x \leq 2 \\ 9 x-2, & \text { when } 2 \leq x \leq 4\end{array}\right. \)
WV
Show that \( \int_{0}^{4} f(x) d x=66 \).
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