Trapezoidal Rule | Calculus Lesson 40 - JK Math

Описание: How To Use The Trapezoidal Rule To Approximate Area (Calculus Lesson 40)

➡️ Download My Free Calculus 1 Worksheets: https://www.jkmathematics.com/calculu...

🖥️ Join My Membership Site: https://www.jkmathematics.com/plus

In this lesson we learn how to use the trapezoidal rule to approximate the area under the curve of a function. The trapezoidal rule differs from Riemann sums because it approximates the area using trapezoids rather than rectangles. We discuss how the trapezoidal rule yields a more accurate approximation of the area under the curve than Riemann sums and compare the approximation to the actual area under the curve using a definite integral.

This course is designed to help students understand the concepts of calculus at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with each lesson under 20 minutes!

Calculus requires a solid understanding of precalculus and algebra concepts and techniques including factoring, equation manipulation, trigonometric equations, logarithms, finding slope, graphing, and many more. If you are not familiar with these prerequisite topics, be sure to learn them first!

Video Chapters:
0:00 What is the Trapezoidal Rule?
1:54 Where the Trapezoidal Rule Comes From
8:32 The Trapezoidal Rule Formula
9:05 Example - f(x) = 64-x^2 from 0 to 8, n=4
14:08 Comparison to Actual Area


📝 Examples Video:    • Trapezoidal Rule Examples | Calculus - JK ...  

⏩ Next Lesson:    • Simpson's Rule | Calculus Lesson 41 - JK Math  

📺 Course Playlist:    • Calculus 1  


🌐 Visit My Website: https://www.jkmathematics.com


⚡️Math Products I Recommend⚡️
Graphing Calculator: https://amzn.to/3XuUcB9
Non-Graphing Calculator: https://amzn.to/46hHJ7E
Financial Calculator: https://amzn.to/3CRe9s4
Graphing Paper: https://amzn.to/46mAfAr
College Rule Paper: https://amzn.to/3NOJaTN
My Favorite Pencil: https://amzn.to/3NOFMIB
My Favorite Erasers: https://amzn.to/3PumUQB
Calculus Workbook: https://amzn.to/3r8SnNP

⚡️Textbooks I Use⚡️
Calculus 1 & 2: https://amzn.to/3PzfI5F
Calculus 3: https://amzn.to/46rSy76
Financial Mathematics: https://amzn.to/3ppIVW0

⚡️My Recording Equipment⚡️
iPad Air: https://amzn.to/3phEug1
Apple Pencil (Gen 2): https://amzn.to/3Nl45MM
Tablet Desk Stand: https://amzn.to/4420rPh
External Hardrive: https://amzn.to/44pkEyh

(Commissions earned on qualifying purchases)


Find me on social media:
Facebook:   / jkmathematics  
Twitter:   / jk_mathematics  
Instagram: @jk_mathematics


Found this video to be helpful? Consider giving this video a like and subscribing to the channel!

Thanks for watching! Any questions? Feedback? Leave a comment!

-Josh from JK Math

#calculus

Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.