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AP Calculus AB/Unit 8: Applications of Integration
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Volume by Revolution About the X-Axis

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Let R be the region in the first quadrant bounded by the graphs of y=x2+1y=x^2+1, y=5y=5, and x=0x=0. What is the volume of the solid generated by revolving R about the x-axis?

A

π∫02[52+(x2+1)2]dx\pi\int_0^2[5^2+(x^2+1)^2]dx

B

π∫02[(5−x2−1)2]dx\pi\int_0^2[(5-x^2-1)^2]dx

C

π∫02[25−(x2+1)2]dx\pi\int_0^2[25-(x^2+1)^2]dx

D

π∫15[25−y2]dy\pi\int_1^5[25-y^2]dy

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