I have a problem I'm working on for a study guide, but it's worded a little oddly compared to the other problems.
Set up the integral and find the volume of the bounded region with the washer/disc method.
15. Below by y=3x^2_1 and above by y=4, rotated about the line y=4.
It doesn't seem like it should be that hard, but again the wording is throwing me off. Any help would be much appreciated. The answer is (48pi/5). I just need to figure out how to get there.
I think he means the bounded part between the parabola and the line (bounded below by the parabola and bounded above by the line). If so, the integral goes like:
where radius is , and min(x) and max(x) are the x-coordinates of the intersection points.