Chapter 8.6, Problem 40E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
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 âˆ«abf(x)dx using Trapezoidal rule,

|E|â‰¤(bâˆ’a)312n2[max|fâ€²â€²(x)|],Â aâ‰¤xâ‰¤b

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

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