Graph of $f$ The graph of the function $f$ on the closed interval $-3 \leq x \leq 8$ consists of six line segments and the point $(5,2)$, as shown in the figure above. The function $g$ is given by $g(x)=\frac{1}{10}\left(4 x^{3}+3 x^{2}-10 x-17\right)$. It is known that $\int_{-3}^{-1} g(x) \mathbb{d} x=-4.8$ and $\int_{-3}^{4} g(x) \mathbb{d} x=11.2$. (a) Find the value of $\int_{4}^{8} f(x) d x$, or explain why the integral does not exist.

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