I think I'm getting it guys--so to evaluate this using simpson's rule, the value of h is the value you all supplied above. And to find the numerical answer you just substitute in the value? But now, how do I concretely evaluate the error bound and find the actual error then? Basically everything said above and all the formulas generated I have been trying to work with but the actual computation is what is giving me a hard time especially the error bound (and the appropriate derivative). This integral just doesn't seem to be the normal kind of integrals one encounters with these problems.
EDIT: In addition to the above, I'm try to work through the following part as well and can't seem to match the examples given in my book.
Determine the number of subintervals n required to approximate the integral to within
by using the composite trapezoidal rule.