Follow the directions of Problem 15 for the region R bounded by y = x3 + 1

Question:

Follow the directions of Problem 15 for the region R bounded by y = x3 + 1 and y = 0 and between x = 0 and x = 2.
In problem 15
(a) Area of R
(b) Volume of the solid obtained when R is revolved about the y-axis
(c) Volume of the solid obtained when R is revolved about y = -1
(d) Volume of the solid obtained when R is revolved about x = 4