Volumes Worksheet 6.3 - Calculus Maximus Page 6

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Calculus Maximus
WS 6.3: Volumes
 and y
  .
2
9. (Calculator Permitted) Let R be the region bounded by the curves
y
x
1
for 0
x
1
x
Showing all integral set-ups, find the volume of the solid obtained by rotating the region R about the
x 
(a) x-axis
(b) y-axis
(c) the line
2
x  
y  
y 
(d) the line
1
(e) the line
1
(f) the line
3
Page 6 of 11

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