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