Question

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.
y=4 x^2, x = 1, y = 0, about the x-axis

Answer 1

Is there a lower x limit?
If there isn't, the volume is infinite

Answer 2

is the region bounded by x=0? if no, then it is in fact infinite...

if yes, then:

1) find the points of intersection. they are x = 1/2 and x = 0.
2) take the integral of pi*(4x^2)^2 from 0 to 1/2.