Question: find the volume of the solid obtained by rotating the region bounded by y = x ^ 2 , x = 1 , and the

find the volume of the solid obtained by rotating the region bounded by y

=

^2,

= 1,

and the x axis about each line below. in each case sketch the region, show a representative strip, state the method, set up the integral and show all work

.

the x

-

axis

.

the y

-

axis

.

the line x

= 1

.

the line y

= 1

.

the line y

= - 2

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