Set up the integral that uses the method of disks/washers to find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified lines.

Question

X=y^2 , y=x/4

a)about the line x=-4

b) about the line y=-4

Answer 1

a) v = π∫₀⁴π[(4y+ 4)² - (y² + 4)²]dy

b) v = π∫₀¹⁶[(√x + 4)² - (x/4 + 4)²]dx