Question

the region bounded by x=1-y^4 and x=0 is rotated about the line x=2. Find the volume of the resulting solid by any method

Answer 1

one trick to remember with revolution problems is that if you rotating about x then you have to integrate with respect to y and vice versa. so you need to define your surface in terms of y.

Answer 2

i believe there's two methods the "washers" and the "shells" method