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AP Calculus BC/Unit 8: Applications of Integration
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Disk Method Volume Formula
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When revolving the region bounded by $$y=f(x)$$ and $$y=0$$ about the x-axis over the interval [a,b], which of the following equations correctly represents the resulting volume using the disc method? Do not use a calculator.

A

$$V=\pi*\int_{a}^{b} f(x)\,dx$$

B

$$V=\int_{a}^{b} \pi*f(x)\,dx$$

C

$$V=\int_{a}^{b} \pi*(f(x))^2\,dx$$

D

$$V=\pi*(f(b)-f(a))$$

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