Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e^x, and the line x = \ln(2 ) about the line x = \ln(2 ). answer = 2pi(2ln(2)-1)

Using the shell method, set up the integral as

For any given along the interval , the corresponding shell has a height of , and the radius is given by the distance between and the axis of revolution , or . For , we have .

Integrate by parts, taking

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step-by-step explanation:

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