Find the volume of the solid of revolution obtained by rotating the region enclosed by the curves y=1-sqrt x, y=1+sqrt x and x=1 around the line x=0 by...
(a) integrating with respect to x
(b) integrating with respect to y
I'm just confused about how to start because of the shape of the graph - when it is rotated around the y-axis it will have a section missing at the top and at the bottom. When integrating with respect to y (washers method) will I just multiply my integral by two to get the total volume? And for integrating with respect to x you are using cylindrical shells right? I'm just really confused!
(a) integrating with respect to x
(b) integrating with respect to y
I'm just confused about how to start because of the shape of the graph - when it is rotated around the y-axis it will have a section missing at the top and at the bottom. When integrating with respect to y (washers method) will I just multiply my integral by two to get the total volume? And for integrating with respect to x you are using cylindrical shells right? I'm just really confused!