Your set-up is almost correct . . .
Use the Shell Method to find the volume of the solid:
the region bounded by , about the line
Here is one of the ways I have tried setting this up.
. . I Integrate on the x-axis from 0 to 1.
. . . Right!
Did you make a sketch?Code:| | : 5+ - - - - * |:::::* : |::* : |* : - * - - - - + - - - - - - 0 1
The height is: