Homework SourseUse the method of cylindrical shells to find the volume V ge
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about y = -5.
y = x^2 , x = y^2
y = x^2 , x = y^2
Solution
when x=y2, y=x
The curves intersect when y=x=x2
x(1-xx)=0
which solve to x=1 and x=0
V=201distance*height dx=
201 (x+5)(x-x2)dx=...=109/30
