Consider the region bounded by , ,

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Consider the region bounded by y=ln⁡xy = \ln x, y=0y = 0, x=1x = 1, and x=ex = e. The region is revolved about the horizontal line y=2y = 2. What is the exact volume of the resulting solid? (a) π (e−6)\pi\,(e - 6) (b) π (3e−2)\pi\,(3e - 2) (c) π (6−e)\pi\,(6 - e) (d) π (e−2)\pi\,(e - 2)

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