APFIVE Volume by Revolution About the X-Axis
Let R be the region in the first quadrant bounded by the graphs of $$y=x^2+1$$, $$y=5$$, and $$x=0$$. What is the volume of the solid generated by revolving R about the x-axis?
A
$$\pi\int_1^5[25-y^2]dy$$
B
$$\pi\int_0^2[5^2+(x^2+1)^2]dx$$
C
$$\pi\int_0^2[(5-x^2-1)^2]dx$$
D
$$\pi\int_0^2[25-(x^2+1)^2]dx$$
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