find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. sketch the region, the solid, and a typical disk or washer. y=x^3, y=0, x=1; about x=2

Question

find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. sketch the region, the solid, and a typical disk or washer.  y=x^3, y=0, x=1; about x=2

anonymous · Answer

draw the graph of X^3  is the first step

anonymous · Answer

as well as y=0, X=1, and X=2

anonymous · Answer

yes i have the graph, im just not sure how to set up the integral

anonymous · Answer

the volume of 1 washer =$$\pi(R-r)^{2}\Delta X$$

anonymous · Answer

what is R?

R= x^3+1

anonymous · Answer

and what would r be?

anonymous · Answer

the limit is from 0 to 1. and we rotate is about x=2. 
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that is the small r .

anonymous · Answer

to get r we will have to subtract 2-1=1 

r=1