Indefinite integrals? Cavalieri’s quadrature? Complex analysis? | DIw/oI #6
In this last video of this video series, we are going to investigate a bunch of ideas that fall within the umbrella of "Doing integrals without integration", including indefinite integrals, an elementary way to derive Cavalieri's quadrature formula, as well as complex analysis as a tool.
Links:
(1) Fundamental theorem of calculus: https://en.wikipedia.org/wiki/Fundame...
(2) Quora answer (Cavalieri’s quadrature):
https://www.quora.com/How-do-mathemat...
[which is based on Wildberger, N. J. (2002). "A new proof of Cavalieri's quadrature formula". The American Mathematical Monthly. 109 (9): 843–845. doi:10.2307/3072373. JSTOR 3072373.]
(3) Complex analysis (HLMA - a high school student academic research competition):
• Defense HLMA2018 Honorable Mention - G.T. ...
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