Hi CB,
Your derivative is of course right. But when choosing a "c" value to substitute in for x, dont you choose 1? In which I get .7954951286. Now to use the error formula from Simpson's Rule which is:
. I remember giving the error formula with something like b - a over 180 but that was the composite rule--I think we're using the regular rule (not composite) in which the error is the one above. When I compute everything, I get
but this can't be correct, the error should be small. (in the formula above,
and the integral is from
to
.
Also CB, when it says "Determine the number of subintervals n required to approximate the integral to within
by using the composite trapezoidal rule," I can find it using math software myself but I'm stuck on the
part...does that mean six decimal places must be correct or six digits or..?