I've tried this problem about 20 times and a bunch of different ways and I can't seem to get it right.
The problem is: Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. Where y=1/(x^3), y=0, x=4, and x=8.
I know you do and integral from 4 to 8 and the integrand is pi (r)^2 (where r can be the inner radius-the outer radius).
Can someone please work this out with what they get is the correct answer, because maybe the computer answer is wrong and it's not actually me that is wrong. Thanks!!
2 answers
Opps, I forgot that the region is rotated around y=-3
i dunno der