Let R be the region bounded by y = −x squared + 4x and y = x.
1. Sketch and shade the region R.
2. Find the area of the region R.
3. Find the volume of the solid S generated by revolving R about x−axis using DISK
METHOD
4. Find the volume of the solid S generated by revolving R about y−axis using WASHER
METHOD/ CYLINDRICAL SHELL METHOD