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The base of a solid is the region enclosed by the graphs of $y=\ln (x)$ and $y=0.1 x^{3}-0.5 x^{2}$, between $x=2$ and $x=5$.$\newline$Cross sections of the solid perpendicular to the $x$-axis are rectangles whose height is $6-x$.$\newline$Which one of the definite integrals gives the volume of the solid?$\newline$Choose $1$ answer:$\newline$(A) $\int_{2}^{5}\left[\ln (x)-0.1 x^{3}+0.5 x^{2}\right]^{2} d x$$\newline$(B) $\int_{2}^{5}\left[\ln (x)-0.1 x^{3}+0.5 x^{2}\right](6-x) d x$$\newline$(C) $\int_{2}^{5}\left[0.1 x^{3}-0.5 x^{2}-\ln (x)\right](6-x) d x$$\newline$(D) $\int_{2}^{5}\left[\ln ^{2}(x)+\left(0.1 x^{3}+0.5 x^{2}\right)^{2}\right] d x$