## y = 5xe−x, y = 0, x = 3; about the y-axis (a) Set up an integral for the volume V of the solid obtained by rotating the region

Question

y = 5xe−x, y = 0, x = 3; about the y-axis

(a) Set up an integral for the volume V of the solid obtained by rotating the region bounded by the given curve about the specified axis.

(b) Use your calculator to evaluate the integral correct to five decimal places.

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2021-12-27T09:03:20+00:00
2021-12-27T09:03:20+00:00 1 Answer
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## Answers ( )

Using the shell method, the volume is

Integrate by parts, taking

Integrate by parts again, with