Question

Find the surface area generated by rotating the given curve about the y-axis.
x = 9t^2, y = 6t^3, 0 ≤ t ≤ 1

Answer 1

I found dx/dt = 18t and dy/dt = 18t^2
I used S = integral from 0 to 1 of (2pi(9t^2)(18t)sqrt(1+t^2))dt