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Find the volume of the solid generated by revolving the region enclosed by the graphs of y= e^x/2, y=1 and x=ln13 about the x-axis

User Capt Otis
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Final answer:

To find the volume of the solid generated by revolving the region enclosed by the graphs of y = e^x/2, y = 1, and x = ln13 about the x-axis, we can use the method of cylindrical shells.

Step-by-step explanation:

To find the volume of the solid generated by revolving the region enclosed by the graphs of y = e^x/2, y = 1, and x = ln13 about the x-axis, we can use the method of cylindrical shells.

The volume of the solid can be calculated by integrating the circumference of each shell multiplied by its height.

By substituting the given functions into the shell method formula and integrating from x = 0 to x = ln(13), we can find the volume of the solid. The resulting integral will involve e^x and ln(x) functions.

User Internetzer
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