x=t+t^3, y=t^2, 0 <= t <= 5

Setup an integral for the area of the surface obtained by rotating the curve about the x-axis and the y-axis

(i) the x-axis

S = definite integral from 0 to 5 ( ) dt

(ii) the y-axis

S = definite integral from 0 to 5 ( ) dt

Work must include clearly finding/labeling any derivatives required.