1) Find the volume of the solid obtained by rotating the region bounded by y=2x^2, x=1, and y=0 about the x-axis.

V=______________________________

2) The volume of the solid obtained by rotating the region enclosed by x=0, y=1, x=y^2 about the line y=1 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=____________

3) The volume of the solid obtained by rotating the region enclosed by y=1/(x^4), y=0, x=3, and x=7, about the line y=−1 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=____________

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