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Find the Volume of the Solid Generated by Revolving the Region

Question 1

Multiple Choice

Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y=exy = e ^ { x } , and the line x=ln2x = \ln 2 about the line x=ln2x = \ln 2 .


A) 2π(1ln2) 2 \pi ( 1 - \ln 2 )
B) 2π(2ln2) 2 \pi ( 2 - \ln 2 )
C) 2π(2ln3) 2 \pi ( 2 - \ln 3 )
D) 2π(1+ln2) 2 \pi ( 1 + \ln 2 )

Correct Answer:

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