1) 4) The volume of the solid obtained by rotating the region enclosed by y=x^2, and x=y^2 about the line y=−6 can be computed using the method of disks or washers via an integral V= ∫[a to b] _______________________ dx,

with limits of integration a=___________ and b=____________

2) Find the volume of the solid obtained by rotating the region (in both the first and second quadrants) bounded by the given curves about the specified axis. y=x^4, y=1; about y=2 _______________________

3) Find the volume of the solid obtained by rotating the region (in both the first and fourth quadrants) bounded by the given curves about the line x=3

x=y^2, x=1;

Answer_____________________

with limits of integration a=___________ and b=____________

2) Find the volume of the solid obtained by rotating the region (in both the first and second quadrants) bounded by the given curves about the specified axis. y=x^4, y=1; about y=2 _______________________

3) Find the volume of the solid obtained by rotating the region (in both the first and fourth quadrants) bounded by the given curves about the line x=3

x=y^2, x=1;

Answer_____________________

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