   Chapter 8.6, Problem 40E

Chapter
Section
Textbook Problem

EXPLORING CONCEPTSDescribing an Error Describe the size of the error when the Trapezoidal Rule is used to approximate ∫ a b f ( x ) d x when f ( x ) is a linear function. Use a graph to explain your answer.

To determine
The size of the error when the Trapezoidal rule is used to approximate abf(x)dx, when f(x) is a linear function.

Explanation

The error E in approximating abf(x)dx using Trapezoidal rule,

|E|(ba)312n2[max|f(x)|], axb

Let the linear function be f(x)=ax+b

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