The region $R$ is bounded by the curve $y={{x}^{2}}-5x$ and $y={{\mathrm{e}}^{\frac{x}{5}}}-4$

Question

The region $R$ is bounded by the curve $y={{x}^{2}}-5x$ and $y={{\mathrm{e}}^{\frac{x}{5}}}-4$. Find the volume generated when region $R$ is rotated through $2\pi $ about the $x-$axis, $y-$axis.

Accepted Answer

(a) $254\text{ units}^3$ (b) $177\text{ units}^3$

Applications of Integrations Q5 [March Holiday Revision Set]

Applications of Integrations Q5 [March Holiday Revision Set]

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