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AP Calculus BC/Unit 8: Applications of Integration
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Volume by Disk Method
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Consider the region bounded by $$y=x$$, $$y=0$$, and $$x=1$$. When this region is revolved about the x-axis, which of the following integrals using the disc method represents the volume of the resulting solid?

A

$$\int_{0}^{1} \pi*x\,dx$$

B

$$\pi \int_{0}^{1} x\,dx$$

C

$$\int_{0}^{1} x^2\,dx$$

D

$$\int_{0}^{1} \pi*x^2\,dx$$

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