Show transcribed image text Page 4 of's 5. Now compare the actual errors for these integral estimates. Rule (Mid, Trap, Simpson's)Actual Error Percent Error Rule Midpoint (M) Trapezoid Rule (T4) Simpson's rule (S) Which estimate was best? Worst? Summarize your findings in a sentence or two. 6. There are formulas that can give an upper bound to the size of the error for these various rules. This upper bound is not necessarily the same as the actual error. Error Upper Bounds – Trapezoid Rule and Midpoint Rule Suppose |(x)s K for asxsb. If E, and E are the errors in the trapezoidal and Midpoint Rules, then K(b-a) K(b-a) 24n a. Find the second derivative for rx)s x' and use it to find K b. For n = 4, the upper bound for, C. For n = 4, the upper bound for E d. Which upper bound is smaller, trapezoid or midpoint? Would your answer to the previous question be any different if we used a different value of n, a wider/narrower interval, or a different function? Explain. (We would still use matching settings for each estimate.) e.