Exact Trapezoid Rule Prove that the Trapezoid Rule is

Chapter 5, Problem 56AE

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QUESTION:

Exact Trapezoid  Rule Prove that the Trapezoid Rule is exact (no error) when approximating the definite integral of a linear function.

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QUESTION:

Exact Trapezoid  Rule Prove that the Trapezoid Rule is exact (no error) when approximating the definite integral of a linear function.

ANSWER:

SOLUTION

Step 1

The trapezoidal method error formula is given by

 

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