Question

Find the volume of the solid generated when the region bounded by
y= sqrt(1/(x(5-x))), y=0, x=3, and x=4 is revolved about the x-axis. Round answer to four decimal places.

Answer 1

AAAaannndd the bot gets it wrong yet again!

using discs of thickness dx,
v = ∫[3,4] πr^2 dx
where r=y = √(1/(x(5-x))
v = π∫[3,4] 1/(x(5-x) dx = π/5 ln(8/3)

Answer 2

8.7402