Just do it the same way except use washers.
By 5 function values, I reckon you mean 5 subintervals.
use simpson's rule with five function values to estimate the volume of the solid formed by rotating the curve y = 1/(1+x^2) about the X-axis between x = -2 and x=2.
I've never seen this sort of question before, combining both volumes and area under curve. Could someone please show me how it is done?