On the standard xy-plane, sketch the region enclosed by the curves y = x³ and y = x for x > 0 As well, find the volume of S, where S is the solid obtained by rotating this region about the line y 1....

Extracted text: On the standard xy-plane, sketch the region enclosed by the curves y = x³ and y = x for x > 0 As well, find the volume of S, where S is the solid obtained by rotating this region about the line y 1. As part of your solution, (i) use the washer method to determine the volume of S, and (ii) also use the shell method to determine the volume of S.