The region under the curves #y=e^(1-2x), 0<=x<=2# is rotated about the x axis. How do you sketch the region and find the volumes of the two solids of revolution?
1 Answer
See below.
Explanation:
It can be seen from the diagram, that if we form rectangles with a width of
When these discs are summed in the given interval, they will give the volume of revolution.
We need to use the interval
so our integral will be:
Plugging in upper and lower bounds:
Volume
Volume of Revolution: