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AP Calculus BC/Unit 8: Applications of Integration
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easy

Volume by Washer Method About the X-Axis

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Which integral represents the volume of the solid generated by revolving the region bounded by the graphs of y=f(x)y=f(x) and y=g(x)y=g(x) from x=ax=a to x=bx=b about the x-axis?

A

∫ab[f(x)2+g(x)2] dx\int_a^b [f(x)^2 + g(x)^2] \, dx

B

π∫ab[f(x)2−g(x)2] dx\pi \int_a^b [f(x)^2 - g(x)^2] \, dx

C

π∫ab[f(x)+g(x)]2 dx\pi \int_a^b [f(x) + g(x)]^2 \, dx

D

∫ab[f(x)−g(x)] dx\int_a^b [f(x) - g(x)] \, dx

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