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JH

# Find the volume of the resulting solid if the region under the curve $y = \frac{1}{(x^2 + 3x + 2)}$ from $x = 0$ to $x = 1$ is rotated about (a) the x-axis and (b) the y-axis.

## (A) $$V=\pi\left[\frac{2}{3}-\ln \left(\frac{16}{9}\right)\right] \approx 0.2868$$(b) $$V=2 \pi \ln \frac{9}{8} \approx 0.7401$$

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