Let R be the region bound by the curves y = xe^ ^-x and y = x^^3/2

1. Rotate R around the x-axis. For the resulting solid, draw a typical cross-section and set up an integral, then use it to find the volume.

2. Rotate R around the line x = 3.1. For the resulting solid, draw a typical cross-section and set up an integral, then use it to find the volume.