Question 1
What is the main idea of a composite numerical integration method?
Question 2
For a composite rule on the interval $[a,b]$ using $n$ equal subintervals, what is the step size $h$?
Question 3
For the composite Simpson's rule, what condition must the number of subintervals $n$ satisfy?
Question 4
In the composite trapezoidal rule, how are the interior function values weighted in the final formula?
Question 5
Which composite method uses parabolic pieces over pairs of subintervals?