Question

Find the area of the surface obtained by rotating the curve y = x^3, 0 <=
x <= 1 about the x-axis.

Answer 1

The integral from 0 to 1 of pi*r^2 where r is the radius of the solid. Which in this case is your function x^3 because the y values are the distance from the x-axis, ie the radius. Ill calculate this in a sec.

Answer 2

if you rotate that area it isn't a orb...

Answer 3

lol he said area im doing volume