calc help (need to know how to do this for a test tomorrow)

[deerslayer]

im trying to figure out this problem and i'm having a little trouble integrating

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=1 about the y-axis.

I've gotten to this integral:

2pi (the integral from 0 to 1) xe^(-x)dx

can anyone help me out?

i'm not sure what to do with the 2 pi

 

[superfluousmonkeys]

integration by parts

are you using cones or shells?

 

[deerslayer]

shells

 

[deerslayer]

^^^^^^^

 

[deerslayer]

bump

 

[deerslayer]

one last bump

 

[silverpig]

The 2pi is a constant. Just pull it out of the integral.