Find the volume V obtained by rotating the region bounded by the given curves about the specified axis.y = sin^2(x), y = 0, 0 ≤ x ≤ π; about the x−axis

Question

anonymous · Answer

have you graphed the function yet?  some people can just look at a problem and know which volume technique to use, but I still need to see a graph.  It looks to me like we could use the disk method.  What do you think?

anonymous · Answer

yes , it think it is a disk

anonymous · Answer

ok.  So, if we call "y" f(x), then I think we can say that f(x) is always greater than y=0 over that interval.  If you agree, then I think that makes it easier because we then don't have to worry about subtracting a g(x).

anonymous · Answer

$$\int\limits_{0}^{\pi}\pi(f(x)^2)dx$$

anonymous · Answer

that is how I'd set it up