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Solution: Volumes The region R is bounded by the curve y =

Chapter 1, Problem 42RE

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QUESTION:

Volumes The region R is bounded by the curve y = ln x and the x-axis on the interval [1,e] Find the volume of the solid that is generated when R is revolved in the following ways.

About the line y = 1

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QUESTION:

Volumes The region R is bounded by the curve y = ln x and the x-axis on the interval [1,e] Find the volume of the solid that is generated when R is revolved in the following ways.

About the line y = 1

ANSWER:

Step 1 of 4

 and .the outer radius of the washer becomes  while the inner radius is

Let  and   also

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