Posted by **Anonymous** on Wednesday, February 29, 2012 at 11:15am.

Find the volume when the area bounded by f(x) = xe^x, y = e, and the y-axis, is revolved around the y-axis.

- calculus -
**Steve**, Wednesday, February 29, 2012 at 12:57pm
xe^x = e when x = 1

using shells,

v = Int(2*pi*r*h dx)[0,.852]

where r = x

h = e-y = e - xe^x

v = 2pi*Int(x(e-xe^x) dx)

= 2pi *Int(ex - x^2 e^x) dx

= 2pi * (e/2 x^2 - e^x (x^2 - 2x + 2))[0,1]

= pi(4-e)

= 4.03

## Answer this Question

## Related Questions

- calculus - 2. Let R be the region of the first quadrant bounded by the x-axis ...
- AP Calculus - Let R be the region bounded by the x-axis and the graph of y=6x-x^...
- calculus - let R be the region of the first quadrant bounded by the x-axis and ...
- CALCULUS - The region R is bounded by the x-axis, y-axis, x = 3 and y = 1/(sqrt(...
- CALCULUS HELP PLZ - The region R is bounded by the x-axis, y-axis, x = 3 and y...
- calculus - Let A be the region bounded by the curves y=x^2-6x+8 and y=0, find ...
- Calculus - Let A be the region bounded by the curves y = x^2-6x + 8 and y = 0. ...
- Calculus - Let A be the region bounded by the curves y = x^2-6x + 8 and y = 0. ...
- calculus - Sketch the region R bounded by the graphs of the equations and find ...
- calculus - Let R be the region in the first quadrant bounded by the graphs of y=...

More Related Questions