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Find the Volume of the Solid Generated by Rotating the Region

Question 7

Multiple Choice

Find the volume of the solid generated by rotating the region R about the x-axis.R is the region bounded by the x-axis, y=secxy = \sec x , x=π4x = - \frac { \pi } { 4 } ,and x=π4x = \frac { \pi } { 4 } .


A) 45π2\frac { 45 \pi } { 2 }
B) 9π2\frac { 9 \pi } { 2 }
C) 2π2 \pi
D) 9π9 \pi

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