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Trapezium Rule Formula - Derived From Scratch
Trapezium Rule Formula - Derived From Scratch
If you'd like to know how to derive the area formula for trapeziums, please visit the link below:
https://www.youtube.com/watch?v=1Ik-id6dpas
If you'd like to download the complete proof contained within this video, visit the link below:
https://drive.google.com/file/d/0B-JdohImMpvmMjlyMjBpOW40R1E/edit?usp=sharing
...
https://www.youtube.com/watch?v=YwrO4kvp5XI
If you'd like to know how to derive the area formula for trapeziums, please visit the link below:
https://www.youtube.com/watch?v=1Ik-id6dpas
If you'd like to download the complete proof contained within this video, visit the link below:
https://drive.google.com/file/d/0B-JdohImMpvmMjlyMjBpOW40R1E/edit?usp=sharing
...
https://www.youtube.com/watch?v=YwrO4kvp5XI
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In this video I show to you visually and geometrically that when you square all the natural numbers up to n terms you get (n/6)*(n+1)(2n+1). This is part 2 of the complete proof. To access part 1 visit this link: https://youtu.be/QyMRREA_YPk
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This video contains a visual proof that demonstrates why 1-(1/3)+(1/9)-(1/27)+(1/81)-(1/243)-...=3/4. It can be found on page 406 of the book 'Real Analysis: A Long-Form Mathematics Textbook (2nd Edition)' by Professor Jay Cummings. As an added bonus, there is a short clip (23 iterations) where you can zoom into the final image of Jay's proof. The art was created by Tiago Hands.
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