How do you find the volume of the solid obtained by rotating the region bounded by the curves y=2x^2+5, and y=x+3 and the y-axis, and x=3 rotated around the x axis?
1 Answer
Jun 21, 2015
Use disks/washers.
Explanation:
Sketch the region. Note that
Therefore:
At a particular
The volume of each representative disk would be
The volume of the washer is the difference, or
= pi int_0^3 (4x^4+19x^2-6x+16) dx
You can finish the integral to get