Hey guys, i was wondering if you can help me out with this problem...
Use the shell method to find the volume generated by rotating the region bounded by the given curves about the y-axis.
1. & (Answer is: )
2. & (Answer is: )
Thanks!
Hey guys, i was wondering if you can help me out with this problem...
Use the shell method to find the volume generated by rotating the region bounded by the given curves about the y-axis.
1. & (Answer is: )
2. & (Answer is: )
Thanks!
Solid of revolution - Wikipedia, the free encyclopedia
Best to draw a graph of the region to be revolved.
Suppose integrating with respect to x... mark in a little 'Reimann strip'.
Imagine revolving the strip around the y-axis... yes, a cylindrical shell, so you're integrating with respect to the right variable for shells.
And the expression to integrate will be the circumference 2 pi x times the length of the strip. (4 - x^2 the first time and ln(x) - 0 the second.)
If you've drawn the sketch the limits will be apparent.