Trapezoidal Riemann Sum From Table With Unequal Intervals | JK Math

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How to Estimate Area Using a Trapezoidal Riemann Sum With Unequal Intervals From a Table

In this video we look at how to estimate a definite integral using a trapezoidal Riemann sum with unequal intervals indicated from a table. Additionally, we discuss if this estimation is an overestimation or underestimation based on the concavity of the given function.

(Special shoutout to one of our subscribers, Robert Tivnan, for suggesting the topic of this video!)

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Video Chapters:
0:00 Problem Reading & Initial Setup
0:51 How to Handle Unequal Intervals
2:29 Plotting Points & Drawing Trapezoids
5:52 Estimating The Area
10:40 Overestimation or Underestimation?
12:54 Outro

Corrections:
0:16 This is a typo, I should have written f”(x) less than 0 (second derivative, not first)
10:40 Rules should be based on second derivative, not first. My apologies on this mistake.

Videos Referenced in This Video:

⏩ Riemann Sums: https://youtu.be/d-EW7I8XhoE

⏩ Trapezoidal Rule: https://youtu.be/UTOgK6y9Lcc

⏩ Concavity: https://youtu.be/BSv67aWVBaA

📺 Calculus Course Playlist: https://youtube.com/playlist?list=PLHdRLeAbIZE6krGDQthaQRpLZFLD4ob54

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