The region $R$ is bounded by the curve $y=5-{{\left[ \ln \left( x-2 \right) \right]}^{2}}$ and the l

Question

The region $R$ is bounded by the curve $y=5-{{\left[ \ln \left( x-2 \right) \right]}^{2}}$ and the line $y=2$. Find the volume generated when region $R$ is rotated through $2\pi $ about the $x-$axis, $y-$axis.

Accepted Answer

(a) $181\text{ units}^3$ (b) $240\text{ units}^3$

Applications of Integrations Q3 [March Holiday Revision Set]

Applications of Integrations Q3 [March Holiday Revision Set]

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