Find the volume of the solid generated by revolving about the x-axis the region under the curve

y
=
1
x
from
x
=
3
to
x
=

. If the answer does not exist, enter DNE. Otherwise, round to four decimal places.

1 answer

why, WHY do you format your text vertically? I'm guessing that you want the area under the curve
y = 1/x for x > 3
That would, of course, be
∫[3,∞] 1/x dx = lnx [3,∞] = ∞ - ln3 = ∞

If I got it wrong, make the fixes and show some of your work.