- #1
IntegrateMe
- 217
- 1
x 0 0.5 1.0 1.5 2.0 2.5 3.0
f(x) 2 1.3 0.9 0.6 0.7 1.1 1.9
Find a formula for the volume V of the solid whose base is the region bounded by y = f(x), the x-axis, and the line x = 3 and its cross-sections perpendicular to the x-axis are semicircles.**
So, I plotted the points and got a graph that looks something like this:
http://i.imgur.com/AiFo6.jpg
Now to start on actually solving the problem.
So I figure that we should break the region up into a small dx pieces, and just sum up all of these pieces using an integral.
However, I'm having trouble figuring our what the area of each piece will be. Any help?
f(x) 2 1.3 0.9 0.6 0.7 1.1 1.9
Find a formula for the volume V of the solid whose base is the region bounded by y = f(x), the x-axis, and the line x = 3 and its cross-sections perpendicular to the x-axis are semicircles.**
So, I plotted the points and got a graph that looks something like this:
http://i.imgur.com/AiFo6.jpg
Now to start on actually solving the problem.
So I figure that we should break the region up into a small dx pieces, and just sum up all of these pieces using an integral.
However, I'm having trouble figuring our what the area of each piece will be. Any help?