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AP Calculus AB/Unit 8: Applications of Integration
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Disk Method Volume Formula
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The region bounded by the graph of $$y=f(x)$$ and the line $$y=0$$ over the interval $$[a, b]$$ is revolved about the x-axis. Using the disk method, which of the following gives the volume of the resulting solid?

A

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

B

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

C

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

D

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

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