I have learnt that integral is the Riemann sum of infinite rectangle, that:(adsbygoogle = window.adsbygoogle || []).push({});

Ʃ[itex]^{n=1}_{∞}[/itex]f(x_{i})Δx_{i}= ∫[itex]^{b}_{a}[/itex]f(x)dx

However, I think that (a,b) is the continuous interval, so the number of rectangle should becinstead of [itex]\aleph[/itex]_{0}(cardinality of natural numberN).

So I wonder whether there are some problem that this definition is not valid anymore.

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# Cardinalic flaw of Riemann integral

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