Riemann integrable functions on a closed interval

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This is a short video about what it means for a function to be Riemann integrable on a closed interval, for my online real analysis/advanced calculus class.
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Hello, @ 6:26 you meant to say 2*3 tight? i.e. (3-1)*3. Thanks for the lecture btw! This is based on Bartle?

benjamincabalona
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Why does the graph @ 6:20 have an open circle at (1, 3), doesn't f(x) = 3 include x = 1?

zummyizhere