Question

Find the area of the surface generated by revolving the curve about the indicated axis.

y=(x^3)/14, 0<=x<=4, x axis

Answer 1

\[S=2\pi \int_{a}^{b}f(x)\sqrt{1-\left[f'(x)\right]^2}dx\]
for a function \(f(x)\) rotated about the \(x\)-axis from \(x=a\) to \(x=b\).

Answer 2

I was a little confused by that.

Answer 3

@roj3og , can you use the formula I just provided? :)

Answer 4

that was what i was working with. this is what I have so far in the next window.

Answer 5

I will simultaneously work out my own solution to compare. :)