Hello, FLTR!

Your integral is slightly off . . .

The region R is bounded by the graphs of and .

Set up (but do not evaluate) the integral that gives the volume of the solid

obtained by rotating R around the line .

Did you make a sketch?Code:| : | / : | ...o (9,3) : | ..*::::/ : | .*:::::::/ : |*::::::::/ ---+---*:-:-:-:/------------ -1: |*::::/ : | o (1,-1) : | / * : / * / |

We will integrate with respect to and use "washers".

The two functions are: .

The "outer radius" is: . 2y + 3) -(-1) \:=\:2y + 4" alt="r_o\:=\2y + 3) -(-1) \:=\:2y + 4" />

The "inner radius" is: .

. . And ranges from to

. . . .