The region $R$ is bounded by the curve $y=\frac{1}{{{\left( x-2 \right)}^{2}}}$, the line $y=1$ and

Question

The region $R$ is bounded by the curve $y=\frac{1}{{{\left( x-2 \right)}^{2}}}$, the line $y=1$ and the line $y=3$. Find the volume generated when region $R$ is rotated through $2\pi $ about the $x-$axis, $y-$axis.

Accepted Answer

(a) $\dfrac{8\pi}{3}(3\sqrt3-1)\text{ units}^3\approx35.2\text{ units}^3$ (b) $16\pi(\sqrt3-1)\text{ units}^3\approx36.8\text{ units}^3$

Applications of Integrations Q4 [March Holiday Revision Set]

Applications of Integrations Q4 [March Holiday Revision Set]

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