Shortcut for the Trapezoid Rule Given a Midpoint Ruleapproximation M(n) and a Trapezoid Rule approximation T(n)for a continuous function on [a, b] with n subintervals, show thatT(n) + M(n)T(2n)

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 56E

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Shortcut for the Trapezoid Rule Given a Midpoint Rule approximation M(n) and a Trapezoid Rule approximation T(n) for a continuous function on [a, b] with n subintervals, show that T(n) + M(n) T(2n)