Chapter 07.02 Trapezoidal Rule Multiple Segment Rule Error Derivation

Multiple Segment Trapezoidal Rule of Integration (CHAPTER 07.02)

Composite Trapezoidal Rule Error: Derivation

Summary

This video discusses how to derive the error formula for the composite trapezoidal rule.

Learning Objective

After watching this video, you will be able to derive the formula for the true error in the composite trapezoidal rule. You will see how the true error is approximately inversely proportional to the square of the number of segments.

Transcript

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All Videos for this Topic

Trapezoidal Rule Derivation [YOUTUBE10:51]

Trapezoidal Rule: Example [YOUTUBE 7:18]

Trapezoidal Rule Multiple Segment Rule: Motivation [YOUTUBE 4:53]

Trapezoidal Rule Multiple Segment Rule: Derivation [YOUTUBE 7:48]

Trapezoidal Rule Multiple Segment Rule: Example: Part 1 of 2 [YOUTUBE 8:17]

Trapezoidal Rule Multiple Segment Rule: Example: Part 2 of 2 [YOUTUBE 3:41]

Trapezoidal Rule Multiple Segment Rule: Error Derivation [YOUTUBE 8:46]

Trapezoidal Rule Multiple Segment Rule: Error Example [YOUTUBE 8:52]

Method of Undetermined Coefficients: Trapezoidal Rule Derivation [YOUTUBE 10:00]

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