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I'Radim of the Cylindrical shell, the Axis of Revolution (x=-1) is\underline{(x+1)} \cdot]for Parabola( \left(P_{1}\right); wr.tSimilarly, we get(part M A)]\left.\begin{array}{ll}y^{2}=x-3= & \text { (part } M A \text { ) } \\\text { ave } & \text { above } \\-\sqrt{x-3}, & x \text {-axis } \\, & \text { below } \\x \text {-axis }\end{array}\right\}for \left(P_{2}\right): \quad so, we have x-axis\begin{aligned}V & =\int_{3}^{9 / 2} 2 \pi(x+1)[2 \sqrt{x-3}] d x+\int_{9 / 2}^{6} 2 \pi(x+1)[2 \sqrt{6-x}] d x \\& =4 \pi\left[\int_{3}^{9 / 2}(x+1)(\sqrt{x-3}) d x+\int_{9 / 2}^{6}(x+1)(\sqrt{6-x}) d x\right]\end{aligned} ...