   Chapter 7.R, Problem 8TFQ

Chapter
Section
Textbook Problem

# Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.The Midpoint Rule is always more accurate than the Trapezoidal Rule.

To determine

To Check: If Midpoint Rule is always more accurate than the Trapezoidal Rule.

Explanation

Actually there is no definitive criteria which can be used answer that which integral is more accurate, be it Midpoint Rule, Trapezoidal Rule or Simpson’s Rule though there is a qualitative answer.

Let EM and ET be the size of errors for Midpoint Rule and Trapezoidal Rule respectively.

The expression for the errors are:

EMk(ba)324n2                      �

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