Calculating Area with Cylindrical Shells in Rotated Region

[nameVoid]

determine the area of the region bounded by the grpahs of x=y-y^3, y=0,x=1,y=1, rotated about y=1; using cylyndrical shells



avegage radius y, altitude=x=y-y^3, y intercepts 0 ,1 ?

 

[Dick]

determine the area of the region bounded by the grpahs of x=y-y^3, y=0,x=1,y=1, rotated about y=1; using cylyndrical shells



avegage radius y, altitude=x=y-y^3, y intercepts 0 ,1 ?

0 and 1 are the y intercepts, yes. Why don't you try and actually solve the problem? Are you sure they want you to find area, not volume?

 

[Mark44]

Three questions:
What work have you done?
Have you graphed the region?
What is the exact problem? Since you said that a region is to be rotated about the line y = 1, it would appear that you want the volume of this solid of rotation rather than the area of some region.