Solution Found!
Shortcut for the Trapezoid Rule Prove that if you have
Chapter 5, Problem 58AE(choose chapter or problem)
QUESTION:
Shortcut for the Trapezoid Rule Prove that if you have M(n) and T(n) (a Midpoint Rule approximation and a Trapezoid Rule approximation with n subintervals), then T(2n)=(T(n)+M(n))/2.
Questions & Answers
QUESTION:
Shortcut for the Trapezoid Rule Prove that if you have M(n) and T(n) (a Midpoint Rule approximation and a Trapezoid Rule approximation with n subintervals), then T(2n)=(T(n)+M(n))/2.
ANSWER:Solution:-
Step1
Given that
A Midpoint Rule approximation and a Trapezoid Rule approximation with n subintervals.
Step2
Prove that
Step3
The Midpoint Rule is the approximation of
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The Trapezoidal Rule is the approximation of